Pith. sign in

Paper Citation Record · LEDGER

Koopman operator theory: fundamentals, control, and applications

As of 13 August 2026, this Paper Citation Record lists 100 of 202 outbound references and 1 inbound Pith citation observation for arXiv:2607.01819.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.01819 v1

Coverage vector

measured 100 of 202 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-03T08:05:16.851267Z

measured 101 of 101 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T04:49:03.001111Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

100 of 202 outbound references displayed

  • verified exact7
  • verified fuzzy88
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5080f7ea-9127-4b50-944e-34887d6c3e4b · outbound

This paper cites Isidori,Nonlinear Control Systems: An Introduction.

Koopman operator theory: fundamentals, control, and applications Isidori,Nonlinear Control Systems: An Introduction

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.340017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:b5583452a65b79dc05538def70241d660a7169a874edf43698837bb71742b6e7

Observation d8232662-e521-4368-b7b7-a16038996949 · outbound

This paper cites Krstic, P.

Koopman operator theory: fundamentals, control, and applications Krstic, P

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.514208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:a476b459fc625bb711e8ec6fb58f7a8308c838f900b6be2181697d17460d34ec

Observation 2c46c508-5b0d-42c0-a373-d6dd9f6a83d2 · outbound

This paper cites an unresolved cited work.

Koopman operator theory: fundamentals, control, and applications Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-07-05T11:10:56.431810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:6757a687dc3c00b87fa37698fe25475891757652d7bcf8ff165ae8a84c0acbb5

Observation 14892f41-4ebe-48b3-9b1d-c3ba76ba4444 · outbound

This paper cites Blanchini and S.

Koopman operator theory: fundamentals, control, and applications Blanchini and S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.474036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:e53783e70337e7ec55161304ff66ad979fa227b5ed2da37135f0092972268697

Observation 0c9e8ce4-a8f7-4600-b611-06fa2113b695 · outbound

This paper cites A Koopman Operator-based Prediction Algorithm and its Application to COVID- 19 Pandemic and Influenza Cases,.

Koopman operator theory: fundamentals, control, and applications A Koopman Operator-based Prediction Algorithm and its Application to COVID- 19 Pandemic and Influenza Cases,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.469465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:a0d7af835e628d6ccb35712cf0a75e51d19c34a99a32230ff00dd9f553e5f69b

Observation 31a440e2-7093-4131-a1b9-4d24c4ef7432 · outbound

This paper cites A Tour of Reinforcement Learning: The View from Continuous Control,.

Koopman operator theory: fundamentals, control, and applications A Tour of Reinforcement Learning: The View from Continuous Control,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.284518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:2b0280eb02bb0ec2be30848e411c1e6ae64a210792411c37f3c65ab8656be69b

Observation 22f1e8a8-ba40-46ca-ac94-d9ab99fe180f · outbound

This paper cites Analysis of Gain Scheduled Control for Nonlinear Plants,.

Koopman operator theory: fundamentals, control, and applications Analysis of Gain Scheduled Control for Nonlinear Plants,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.266006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:b5e1856f6b5d4b2c5c5dde10f11624033e80bac2589463351877f62076b8c2e5

Observation 3523179a-82e2-4888-91aa-b2bdee2f4b94 · outbound

This paper cites Comparison of Systems with Complex Behavior,.

Koopman operator theory: fundamentals, control, and applications Comparison of Systems with Complex Behavior,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.276718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:4ab78717efc7f8364971db0a111cbb071fed073bdc9141690f7f93121d355d03

Observation 8bcbf0cb-82b2-48d9-8036-39fa5cb45f93 · outbound

This paper cites Spectral Properties of Dynamical Systems, Model Reduc- tion and Decompositions,.

Koopman operator theory: fundamentals, control, and applications Spectral Properties of Dynamical Systems, Model Reduc- tion and Decompositions,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.252098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:d98882fd440675a41cc16d22877988b2beb20b943198de320e1b14d8f3c78bd1

Observation d43f0748-fd17-487a-b076-14094db1fcc2 · outbound

This paper cites Spectral Analysis of Nonlinear Flows,.

Koopman operator theory: fundamentals, control, and applications Spectral Analysis of Nonlinear Flows,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.326524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:728992f5e7b6c834cfd12ffcf603c49a2d87eca4e9a319a400928cf85193138b

Observation 984837d0-422d-4c4a-93cd-da6ed141c5fc · outbound

This paper cites An Overview of Koopman-based Control: From Error Bounds to Closed-Loop Guarantees,.

Koopman operator theory: fundamentals, control, and applications An Overview of Koopman-based Control: From Error Bounds to Closed-Loop Guarantees,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.318758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:aecc9fa4934c1728010b2db927284e707588bef993c8b621d8c6ede37f14b846

Observation aa7ae7b5-fb19-4146-baf5-c757479fdd5f · outbound

This paper cites Global Stability Analysis using the Eigenfunctions of the Koopman Operator,.

Koopman operator theory: fundamentals, control, and applications Global Stability Analysis using the Eigenfunctions of the Koopman Operator,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.501078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:ed1621a29bcc9f20992564ee525b2f9b9e1a134a69546841fc3c90ad02f11f9e

Observation 0ecb8dfc-5d17-4134-b7f6-6cb15c4fd616 · outbound

This paper cites Koopman Kernel Regression,.

Koopman operator theory: fundamentals, control, and applications Koopman Kernel Regression,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.311016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:73f9bd5534c18a5b9798909e6fcb70e0c361b47ea4f0f3845a9e5a0853b2e759

Observation 2f5dc3be-2b78-42f2-b380-97cd2175afe7 · outbound

This paper cites Koopman Operator Dynamical Models: Learning, Analysis and Control,.

Koopman operator theory: fundamentals, control, and applications Koopman Operator Dynamical Models: Learning, Analysis and Control,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.390298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:9729e6127b81878fad9d6c4e9f384e86f010b26ada88118bd07d5c2c827e8b7f

Observation 3e66008f-5a06-42c5-b237-db435289c32d · outbound

This paper cites Modern Koopman Theory for Dynamical Systems,.

Koopman operator theory: fundamentals, control, and applications Modern Koopman Theory for Dynamical Systems,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.561972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:e405792500d166e9f7c03ad8bec1edb7a118440e379fd4095cc42086e8826f00

Observation b8a98fc8-da4b-4a23-a9e4-f57f1ddb28b9 · outbound

This paper cites Mauroy, Y.

Koopman operator theory: fundamentals, control, and applications Mauroy, Y

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.563727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:969d89cb3963f40ad590f44737b8ef11276263a1562b98fa1a2e4402a3bc7152

Observation 71564e0d-1477-4fb2-984a-7803fc161a50 · outbound

This paper cites SafEDMD: A Koopman-based Data-Driven Controller Design Framework for Nonlinear Dynamical Systems,.

Koopman operator theory: fundamentals, control, and applications SafEDMD: A Koopman-based Data-Driven Controller Design Framework for Nonlinear Dynamical Systems,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.567389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:ccc04fde89567f1aa0f15fd572a6f3fff259673cb56ef072bfe3659a723d7e42

Observation 39d2224b-5e43-4bb9-a7f4-eb41627381a2 · outbound

This paper cites Koopman Operators in Robot Learning,.

Koopman operator theory: fundamentals, control, and applications Koopman Operators in Robot Learning,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.558092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:e6fd1a0114539c3cfe49dab9692a989a15b52567695e5e85bfae4aacf8f13d9f

Observation c3338670-6c9e-4eaa-b32c-64640d362e10 · outbound

This paper cites L∞-Error Bounds for Approximations of the Koopman Operator by Kernel Extended Dynamic Mode Decomposition,.

Koopman operator theory: fundamentals, control, and applications L∞-Error Bounds for Approximations of the Koopman Operator by Kernel Extended Dynamic Mode Decomposition,

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.558085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:cec42403efd91292e05515e1d170cc742176bdbe3765552c928af6179c775018

Observation dabe755c-c2fc-4468-b0d1-70aa55d45939 · outbound

This paper cites Bernard Osgood Koopman, 1900–1981,.

Koopman operator theory: fundamentals, control, and applications Bernard Osgood Koopman, 1900–1981,

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.548807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:86d9989751b44cd7a53e344ffaddcbf01db84d768de726b9ca5ad5481801b224

Observation 976d7493-f9d7-49be-be04-1d22e9320ca2 · outbound

This paper cites Hamiltonian Systems and Transformation in Hilbert Space,.

Koopman operator theory: fundamentals, control, and applications Hamiltonian Systems and Transformation in Hilbert Space,

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.560092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:dd1ddf1181a869d54eba204696e32409c50281576db7196740bd5243b8f0cddc

Observation f17176cf-36ef-4a40-80ed-9dcfc8fd6a42 · outbound

This paper cites Dynamical Systems of Contin- uous Spectra,.

Koopman operator theory: fundamentals, control, and applications Dynamical Systems of Contin- uous Spectra,

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.565435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:cfadd0313889905d61c261378856d69af8e9610ef19be755d276e962d6f54eb0

Observation 55c1f703-4580-4598-aeb9-3044a95097d4 · outbound

This paper cites Comparison of Systems with Complex Behavior: Spectral Methods,.

Koopman operator theory: fundamentals, control, and applications Comparison of Systems with Complex Behavior: Spectral Methods,

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.526704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:849430b9660293d20d1858eb368b7ba278243bb72375301cb574938ea202068e

Observation ebe126ed-a7ce-4787-9b48-bea2d6e4dcf4 · outbound

This paper cites Koopman Operator Spectrum for Random Dynamical Systems,.

Koopman operator theory: fundamentals, control, and applications Koopman Operator Spectrum for Random Dynamical Systems,

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.530937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:bd729ae25a8c315cd8cbd8c46b81a0acafd5014915295d558b863b586b2960b8

Observation 904451f0-e599-4591-9174-87120661a541 · outbound

This paper cites On Robust Computation of Koopman Operator and Prediction in Random Dynamical Systems,.

Koopman operator theory: fundamentals, control, and applications On Robust Computation of Koopman Operator and Prediction in Random Dynamical Systems,

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.591908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:d128fc6421b4630aff9ff6bad4a5f20f583c3b56f4f56d80ecdf4981052fd15a

Observation 572b98b2-a487-473b-acdd-138e4b9dcc6d · outbound

This paper cites Robust Approximation of the Stochastic Koopman Operator,.

Koopman operator theory: fundamentals, control, and applications Robust Approximation of the Stochastic Koopman Operator,

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.586249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:36ab562cfa4307caa5d52acb99ff5e9e5e1a6e6f3f82645d74d7fbea7e646a69

Observation 40ed5845-2cf9-4e84-9dd3-3106b7087c44 · outbound

This paper cites Koopman for stochastic dynamics: error bounds for kernel extended dynamic mode decomposition.

Koopman operator theory: fundamentals, control, and applications Koopman for stochastic dynamics: error bounds for kernel extended dynamic mode decomposition

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-07-03T08:07:44.943972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:2a2c67bc5998c55e6a1311d5676344e0088af693a1d056254a4a52c309d0fac6

Observation f32c1a2d-4a5a-4c13-92b5-c09dda8ac67b · outbound

This paper cites Variational Koopman Models: Slow Collective Variables and Molecular Kinetics from Short Off-Equilibrium Simulations,.

Koopman operator theory: fundamentals, control, and applications Variational Koopman Models: Slow Collective Variables and Molecular Kinetics from Short Off-Equilibrium Simulations,

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.515200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:c406d25d7ada06923c050f20413413be250cc52d111b5ef46dc1ab37c855b596

Observation 51264b56-a63c-4697-a086-139123ec5127 · outbound

This paper cites Data- Driven Characterization and Acceleration of Metastable Dynamics Using Koopman Operators,.

Koopman operator theory: fundamentals, control, and applications Data- Driven Characterization and Acceleration of Metastable Dynamics Using Koopman Operators,

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.508224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:44862fe7dce542589046067343021d7302a851a9fd1c40516991fb1e019aeb67

Observation c3ba9eb4-d184-48c9-9666-247f39ebc6c6 · outbound

This paper cites Spectrum of the Koopman Operator, Spectral Expansions in Functional Spaces, and State-Space Geometry.,.

Koopman operator theory: fundamentals, control, and applications Spectrum of the Koopman Operator, Spectral Expansions in Functional Spaces, and State-Space Geometry.,

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.504831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:797db088332d0e640ac9418bb48ede3d76c4de860fe21dd2c1fa3565dec812c3

Observation 95fb9bed-1341-4bfc-83be-31c8b5d6b32a · outbound

This paper cites Yosida,Functional Analysis.

Koopman operator theory: fundamentals, control, and applications Yosida,Functional Analysis

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.509914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:38bde09bedbcf898b59ff9a1790cdaedfaa678bb639eb94a543ac97ad14923f5

Observation a9da9f04-062a-41ad-a642-e16f1346fda1 · outbound

This paper cites Mezi ´c,Koopman Operators: Spectra, Function Spaces, and Rep- resentations, pp.

Koopman operator theory: fundamentals, control, and applications Mezi ´c,Koopman Operators: Spectra, Function Spaces, and Rep- resentations, pp

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.516899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:ab61adc808d107c75cb7926df4a468f20e197bcf20e65dace0f8cb8c18a4387c

Observation 15080626-6dcf-4a51-8651-7324ec2f5cf2 · outbound

This paper cites Koopman Framework for Global Stability Analysis,.

Koopman operator theory: fundamentals, control, and applications Koopman Framework for Global Stability Analysis,

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.552481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:f02e3b755ea998ba67e42ddacab972562d4fb86cc7a907df263b62cb65846f31

Observation f103391e-28bf-44cc-b1d1-843e0fa3a014 · outbound

This paper cites A Spectral Operator-Theoretic Framework for Global Stability,.

Koopman operator theory: fundamentals, control, and applications A Spectral Operator-Theoretic Framework for Global Stability,

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.574728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:eea5555d58f1d802548577912186c1b0312d4c83efbf2a8b880a654a394fc961

Observation 1d5f24c6-394c-44cf-a7ae-fbc10923468f · outbound

This paper cites Modeling Nonlinear Control Systems via Koopman Control Family: Universal Forms and Subspace Invariance Proximity,.

Koopman operator theory: fundamentals, control, and applications Modeling Nonlinear Control Systems via Koopman Control Family: Universal Forms and Subspace Invariance Proximity,

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.484033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:54457e7ac807111cfc8adc0c1f2bc1536ebfc0d6524b7da337e7a8af84b9a1ab

Observation bcaefcbf-530b-4b79-9f6b-7d1e78638509 · outbound

This paper cites Invariance Proximity: Closed-Form Error Bounds for Finite-Dimensional Koopman-Based Models.

Koopman operator theory: fundamentals, control, and applications Invariance Proximity: Closed-Form Error Bounds for Finite-Dimensional Koopman-Based Models

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-07-03T08:07:44.941065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:c3c19027e1da7f3205ae60b6741077e5a5352c41b390a0439824064bd12918ad

Observation 5d2df252-2ce2-4b49-b042-f2da331d4ac2 · outbound

This paper cites Essai sur la g ´eom´etrie `andimensions,.

Koopman operator theory: fundamentals, control, and applications Essai sur la g ´eom´etrie `andimensions,

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.470287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:37b18455775c5648756d13a9cca9e54e6aa83307f6435a95ae7b7f7ca66655a4

Observation 01a0980d-5e24-455b-b4d4-e3c128dc1c79 · outbound

This paper cites Relations between Two Sets of Variates,.

Koopman operator theory: fundamentals, control, and applications Relations between Two Sets of Variates,

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.503744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:53a818898208009f1a3e397a62dfa547c951493f1b756df7d091b392328b7f5e

Observation 0fd203fa-a6a5-4ab0-8b31-3dbd906f190a · outbound

This paper cites Repro- jection Methods for Koopman-based Modelling and Prediction,.

Koopman operator theory: fundamentals, control, and applications Repro- jection Methods for Koopman-based Modelling and Prediction,

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.505508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:ca4af082c849d81bfe691de076f404f5d8ceeb19156b7b40824542e383734656

Observation ca727ecf-9f08-47bf-96f6-24447268bc13 · outbound

This paper cites an unresolved cited work.

Koopman operator theory: fundamentals, control, and applications Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-07-05T11:10:56.491256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:104406dcdb27fe3c5dbc55d889b8ee58ab51977a17c3e959845efe7c031f441b

Observation 0ea209f0-a274-4e47-b621-54a90ad7241e · outbound

This paper cites Koopman-based Lifting Techniques for Nonlinear Systems Identification,.

Koopman operator theory: fundamentals, control, and applications Koopman-based Lifting Techniques for Nonlinear Systems Identification,

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.507226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:2dd52e7c66670e194b5e033bca721a6e21fd1f85043479bbc0c77dfd6438b83d

Observation 96e90f02-9973-47fe-b940-94b7f9e3e577 · outbound

This paper cites Maximum-likelihood reprojections for reliable Koopman-based predictions and bifurcation analysis of parametric dynamical systems.

Koopman operator theory: fundamentals, control, and applications Maximum-likelihood reprojections for reliable Koopman-based predictions and bifurcation analysis of parametric dynamical systems

Reference 42

Resolution
verified exact
arxiv_id, observed 2026-07-03T08:07:44.932792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:95644a4af208459ebbb96497b2181f9a84e0ef6a205cef2ad9dd212b7e2f488f

Observation 9e92cc54-9026-41dc-bd39-4013a5fe1e01 · outbound

This paper cites The Multiverse of Dynamic Mode Decomposition Algorithms,.

Koopman operator theory: fundamentals, control, and applications The Multiverse of Dynamic Mode Decomposition Algorithms,

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.509089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:4083652f846b6844002308168c9bac46863f4898c6105619828bf5370d9d9b09

Observation 764709ba-a606-4399-b09b-3dd9b20086cb · outbound

This paper cites On Dynamic Mode Decomposition: Theory and Applications,.

Koopman operator theory: fundamentals, control, and applications On Dynamic Mode Decomposition: Theory and Applications,

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.485876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:57419157886e90f20d87de00e01b578c82a102a010e3c1d685d474d3c21a4525

Observation 85088503-4daf-45e4-99c3-9448b552e968 · outbound

This paper cites Model Reduction for Flow Analysis and Control,.

Koopman operator theory: fundamentals, control, and applications Model Reduction for Flow Analysis and Control,

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.519029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:72f9ce7b7a8fac4add583198f7dcfdc27b187a942a391205d6dffccd42097aeb

Observation 58c58dcd-e9e2-414a-96f2-d791342477c7 · outbound

This paper cites Generalizing Dynamic Mode Decomposi- tion: Balancing Accuracy and Expressiveness in Koopman Approxi- mations,.

Koopman operator theory: fundamentals, control, and applications Generalizing Dynamic Mode Decomposi- tion: Balancing Accuracy and Expressiveness in Koopman Approxi- mations,

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.389264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:640e24a8e0329d6ea0bdb4ff40e80a9e30cd2672bce94f3804db4500c7bd8218

Observation 3a98c8d7-b00b-481a-becf-f28bb0e36eb6 · outbound

This paper cites Recursive Forward-Backward EDMD: Guaranteed Algebraic Search for Koopman Invariant Subspaces,.

Koopman operator theory: fundamentals, control, and applications Recursive Forward-Backward EDMD: Guaranteed Algebraic Search for Koopman Invariant Subspaces,

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.489322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:6fd15b0c58a56943b4c9d37ba94f3555e6435567107ee5626ba6d9eaae2893a3

Observation 7e996372-4bfd-4c78-a2c8-6ce9a67a07bb · outbound

This paper cites Scalable Extended Dynamic Mode Decomposition Using Random Kernel Approximation,.

Koopman operator theory: fundamentals, control, and applications Scalable Extended Dynamic Mode Decomposition Using Random Kernel Approximation,

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.395184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:7a4c7f24b728a3bbac02487c25e32c74b683cc8ee071aeb272e024615f8e3db0

Observation 4d5fac55-c0df-42a1-bf77-1db878639b54 · outbound

This paper cites Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos,.

Koopman operator theory: fundamentals, control, and applications Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos,

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.386224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:dc4e8334aa42cab60a555a99e177bac85e1be334a1330f306d8701ec0a6399f2

Observation d1bb577d-7ca6-45bc-a1cf-568f39beb3cd · outbound

This paper cites A Data– Driven Approximation of the Koopman Operator: Extending Dy- namic Mode Decomposition,.

Koopman operator theory: fundamentals, control, and applications A Data– Driven Approximation of the Koopman Operator: Extending Dy- namic Mode Decomposition,

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.589896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:47a8f8b609ec5bf5469c72ce2d433455c9de8cd1c9847ef2b48380fab5e2adf1

Observation b2324bb0-b001-40b4-bf0b-589faed30abf · outbound

This paper cites Extended Dynamic Mode Decomposition with Dictionary Learning: A Data- Driven Adaptive Spectral Decomposition of the Koopman Operator,.

Koopman operator theory: fundamentals, control, and applications Extended Dynamic Mode Decomposition with Dictionary Learning: A Data- Driven Adaptive Spectral Decomposition of the Koopman Operator,

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.528873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:cc861e16d261a9f41bfc4d8892e3441d7c40d66226f032b6f202fa4025b23b1f

Observation c7ca8184-e5a5-4055-90e4-a92e49c955b5 · outbound

This paper cites Deep Learning for Universal Linear Embeddings of Nonlinear Dynamics,.

Koopman operator theory: fundamentals, control, and applications Deep Learning for Universal Linear Embeddings of Nonlinear Dynamics,

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.520854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:0c7b9247a938d5c4d9dac92df8922b1c9537534964ecabba9077fac0f0bba01a

Observation 5d89079a-0907-4b41-b6b9-1bfd4aecf671 · outbound

This paper cites Random Features for Large-Scale Kernel Machines,.

Koopman operator theory: fundamentals, control, and applications Random Features for Large-Scale Kernel Machines,

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.471853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:000433f947f6f7d561f90db8d2df22dd52605a6c893c2e9d05b34141f773c1db

Observation fa41edb9-e923-418f-bfd3-0729ce6aea04 · outbound

This paper cites Koopman Operator Framework for Spectral Analysis and Identification of Infinite-Dimensional Systems,.

Koopman operator theory: fundamentals, control, and applications Koopman Operator Framework for Spectral Analysis and Identification of Infinite-Dimensional Systems,

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.526853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:298de04656b6c1dbe135f4eeecbcc29b31e1fb91a4a552ae2542cf95c49f4f28

Observation e4286803-ae44-4d4b-83c7-28ccd6255cd6 · outbound

This paper cites Temporal Forward–Backward Consistency, Not Residual Error, Measures the Prediction Accuracy of Extended Dynamic Mode Decomposition,.

Koopman operator theory: fundamentals, control, and applications Temporal Forward–Backward Consistency, Not Residual Error, Measures the Prediction Accuracy of Extended Dynamic Mode Decomposition,

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.540122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:0883f4fc472c7ea9a52854b2e3d1f684f8ab5916a82d85e124a046893083b211

Observation 304423b1-c3fd-4da5-8f2f-3f551c5719a7 · outbound

This paper cites Data-Driven Approximation of the Koopman Generator: Model Reduction, System Identification, and Control,.

Koopman operator theory: fundamentals, control, and applications Data-Driven Approximation of the Koopman Generator: Model Reduction, System Identification, and Control,

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.545677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:76147552efa1a9f206fa24403e7fa2f6e3e15a1854b646e9ffbaee6c4b76856e

Observation ac4ad133-0b46-49c1-96c3-ae3d0e084b0a · outbound

This paper cites Linear Identification of Nonlinear Systems: A Lifting Technique based on the Koopman Operator,.

Koopman operator theory: fundamentals, control, and applications Linear Identification of Nonlinear Systems: A Lifting Technique based on the Koopman Operator,

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.487725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:ab8df4dff572614b5a4c6eec32de4e90c183d4313e465cee6966d33003854180

Observation 7503e20b-fb55-4b75-9a1e-f5114453c3a0 · outbound

This paper cites an unresolved cited work.

Koopman operator theory: fundamentals, control, and applications Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-07-05T11:10:56.480045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:56861668e0bba86bdb129b4eb9b7380b59ce5a5cc7b1464fda4a81c007cd3544

Observation 1b97e69d-bf18-422a-aa2a-2dc355f6ce1a · outbound

This paper cites On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator,.

Koopman operator theory: fundamentals, control, and applications On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator,

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.493108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:dcf00a997730dbafbcbe533039a3c276663ffa8d1a167d99a51db0ffafa92d9e

Observation e0ed1b58-8c14-486f-8859-375a24fee171 · outbound

This paper cites Applied Koopman Theory for Partial Differential Equations and Data-Driven Mod- eling of Spatio-Temporal Systems,.

Koopman operator theory: fundamentals, control, and applications Applied Koopman Theory for Partial Differential Equations and Data-Driven Mod- eling of Spatio-Temporal Systems,

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.461708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:8d818b6a61cbe2ad7b548fdde10a36fa0d008b020fd4e2698b9bc2c61169be9c

Observation 97e755f3-f5d8-422e-95c5-6926b4f9a4b3 · outbound

This paper cites Ergodic Theory, Dynamic Mode Decom- position, and Computation of Spectral Properties of the Koopman Operator,.

Koopman operator theory: fundamentals, control, and applications Ergodic Theory, Dynamic Mode Decom- position, and Computation of Spectral Properties of the Koopman Operator,

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.495318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:5f4cfc6daa6abb79133afa4f2704d291bca922a6ee861d013f00e049e25ad171

Observation e02b4332-f24a-4c3d-807f-2edc1076dfda · outbound

This paper cites Time-Delay Observables for Koopman: Theory and Applications,.

Koopman operator theory: fundamentals, control, and applications Time-Delay Observables for Koopman: Theory and Applications,

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.457468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:1c904420e799f932591156cafee25d2027a0dddefa680db09748c67b0c6301a0

Observation 6ea72612-455f-4730-bdb7-a6ca36223add · outbound

This paper cites The Takens Embedding Theorem,.

Koopman operator theory: fundamentals, control, and applications The Takens Embedding Theorem,

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.455540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:8b82b92880227f67035b62bb2c6fcb4f5fd66adcea4f911466401815173cbf8d

Observation 1268ac2b-92b0-4ed8-b4c3-c871b94ae197 · outbound

This paper cites Isostables, Isochrons, and Koopman Spectrum for the Action–Angle Representation of Stable Fixed Point Dynamics,.

Koopman operator theory: fundamentals, control, and applications Isostables, Isochrons, and Koopman Spectrum for the Action–Angle Representation of Stable Fixed Point Dynamics,

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.459826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:9a4c8b65837930f104b3652b1ca89a1a92e44ecfbe9ce29717fdee701697dc76

Observation c802b96f-bac2-43bd-840d-c652547fc65f · outbound

This paper cites Construction of eigenfunctions for scalar-type operators via Laplace averages with connections to the Koopman operator.

Koopman operator theory: fundamentals, control, and applications Construction of eigenfunctions for scalar-type operators via Laplace averages with connections to the Koopman operator

Reference 65

Resolution
metadata mismatch
local_arxiv, observed 2026-07-03T08:07:44.938321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:daa834f646f7c1a4695725cee3d12a1bbe6bccc0278360263e831fc946e9fd42

Observation df0bc70a-b3e1-4fe6-ab59-8fe4280f50b1 · outbound

This paper cites On Numerical Approximations of the Koopman Operator,.

Koopman operator theory: fundamentals, control, and applications On Numerical Approximations of the Koopman Operator,

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.465780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:4b2faa3ecfb7ab010048fa2c2c546fe17cb29323d4f52ebaffbd097174433c40

Observation e25be288-4713-4a92-b674-9af04ad48257 · outbound

This paper cites Variants of Dynamic Mode De- composition: Boundary Condition, Koopman, and Fourier Analyses,.

Koopman operator theory: fundamentals, control, and applications Variants of Dynamic Mode De- composition: Boundary Condition, Koopman, and Fourier Analyses,

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.461533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:8c6a13d70df0e9f46063a9aaedd319dc47345b1140d6f6eee8be2b7f4d560510

Observation 50ae70c4-e658-4677-b04b-3d8c4a569f69 · outbound

This paper cites A Computational Method to Extract Macroscopic Variables and Their Dynamics in Multiscale Systems,.

Koopman operator theory: fundamentals, control, and applications A Computational Method to Extract Macroscopic Variables and Their Dynamics in Multiscale Systems,

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.506542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:6fd8b94cd053b13a76f60993bcb7604229006f2ff2bc5c9d571c39a90b702ade

Observation 66d2b547-1382-4c6f-88d5-e5822f176a36 · outbound

This paper cites Spectral Pollution and How to Avoid It,.

Koopman operator theory: fundamentals, control, and applications Spectral Pollution and How to Avoid It,

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.451427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:015fb28073cca27f9737181c62141b38b330e8fe6f6afdd82d48515ff4345abe

Observation 51435e24-eb4a-4d83-b5c4-b8d64172c354 · outbound

This paper cites Spectral Pollution and Second- Order Relative Spectra for Self-Adjoint Operators,.

Koopman operator theory: fundamentals, control, and applications Spectral Pollution and Second- Order Relative Spectra for Self-Adjoint Operators,

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.453407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:5ac146f97f7c0250a16386b6743f0a4459cfbe94ac47c665633bc4f5ccb32d2c

Observation f9fe75fa-8eb7-41c4-8b80-8f3e4fefa0e1 · outbound

This paper cites How to Compute Spectra with Error Control,.

Koopman operator theory: fundamentals, control, and applications How to Compute Spectra with Error Control,

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.445683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:b6845206016c5bf12682292f05a87a0c1710babe7b3f124e78e1bc6f7d536ffd

Observation 0e55c1a9-fce9-45be-9d88-e492f5f47fb0 · outbound

This paper cites Rigorous Data-Driven Computa- tion of Spectral Properties of Koopman Operators for Dynamical Sys- tems,.

Koopman operator theory: fundamentals, control, and applications Rigorous Data-Driven Computa- tion of Spectral Properties of Koopman Operators for Dynamical Sys- tems,

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.478082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:84b00dfc000832271132398b4181f117f754231bdda92b087b47a7138dff6680

Observation a69a739e-da6d-45f6-805f-82a69cc18a10 · outbound

This paper cites Data Driven Modal Decom- positions: Analysis and Enhancements,.

Koopman operator theory: fundamentals, control, and applications Data Driven Modal Decom- positions: Analysis and Enhancements,

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.511672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:62b4b47576ff8c801e640bfebbf24f158b911738ee3a128eb3577c87dd3cab36

Observation 5637574e-e142-481f-917b-194d956879dd · outbound

This paper cites Analytic Extended Dynamic Mode Decomposition,.

Koopman operator theory: fundamentals, control, and applications Analytic Extended Dynamic Mode Decomposition,

Reference 74

Resolution
verified exact
arxiv_id, observed 2026-07-03T08:07:44.926598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:91c5362ba63a54b9071d8c1cff60aed73dfc1f5ff5224106818bfec1d9c27c24

Observation b0b26269-d7b9-401e-b557-acfb5f2c8340 · outbound

This paper cites Adversarial Dynam- ical Systems Characterize when Data-Driven Learning Succeeds or Fails,.

Koopman operator theory: fundamentals, control, and applications Adversarial Dynam- ical Systems Characterize when Data-Driven Learning Succeeds or Fails,

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.513507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:fa390ea3975f7ce4c894dd46802f976e7fa693cf79d8ac9b2e037f4557eb0c3f

Observation c4b25d89-f1d6-486a-b7c0-275059ad70a8 · outbound

This paper cites an unresolved cited work.

Koopman operator theory: fundamentals, control, and applications Unresolved cited work

Reference 76

Resolution
unresolved
raw_fallback, observed 2026-07-05T11:10:56.443882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:c26b5c41679a709c6f9be3faf20a0c133d1f7065ef2bf0fd96d0027e19f29c7b

Observation 33c958fc-6dcb-42c4-9870-a5a86d0cf71e · outbound

This paper cites Analysis of Fluid Flows via Spectral Properties of the Koopman Operator.

Koopman operator theory: fundamentals, control, and applications Analysis of Fluid Flows via Spectral Properties of the Koopman Operator

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.467873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:8a6a277043584eb8de3b7d0eea1afa58780f2913707df49cec2fb07597fb6561

Observation e9c88a78-8c9d-44e1-b113-61c327dc654c · outbound

This paper cites A Kernel- Based Method for Data-Driven Koopman Spectral Analysis,.

Koopman operator theory: fundamentals, control, and applications A Kernel- Based Method for Data-Driven Koopman Spectral Analysis,

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.497587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:0035a80d671296bd046fe9ef911627790d12ef43c0ea49160a1322d7370fcf96

Observation 176b2106-c745-4653-8bce-ef7dff9e3ec8 · outbound

This paper cites Sch ¨olkopf and A.

Koopman operator theory: fundamentals, control, and applications Sch ¨olkopf and A

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.545440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:b34a9ea7f303ee94cca47d50d8e9130a40408e4af0d729e92db1bc96bcbbd7e9

Observation 857e05f8-b282-481f-b057-f5be9da2bc08 · outbound

This paper cites Berlinet and C.

Koopman operator theory: fundamentals, control, and applications Berlinet and C

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.547065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:17a59ac634c4596f98c9dea399f2ba6816e329e8b6ed05875c24c35b04769b30

Observation 0900fe2a-859c-4a98-bee6-bc8e9056c372 · outbound

This paper cites A Primer on Reproducing Kernel Hilbert Spaces,.

Koopman operator theory: fundamentals, control, and applications A Primer on Reproducing Kernel Hilbert Spaces,

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.580550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:8d71b40c40ddc1e8d4282ede929f19caea41cd7b50e095f89b69914d94413ad4

Observation cf142f4c-d647-42a0-afe9-797b7814b65c · outbound

This paper cites Kernel-based Approximation of the Koopman Generator and Schr¨odinger Operator,.

Koopman operator theory: fundamentals, control, and applications Kernel-based Approximation of the Koopman Generator and Schr¨odinger Operator,

Reference 82

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.551633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:5bccdbb2fe9c83ed6646539982c35e9453c42648a3760d9e62f4c61cd608494a

Observation f525f01c-4b51-4862-8c2a-0d7b94abda34 · outbound

This paper cites Spatial Variation: Meddelanden fran Statens Skogs- forskningsinstitut,.

Koopman operator theory: fundamentals, control, and applications Spatial Variation: Meddelanden fran Statens Skogs- forskningsinstitut,

Reference 83

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.525100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:4dac62a70379e20b2fe098a3911f78798424bcb1a4331530d0d91081f832fa97

Observation 1ef2b55c-98d0-4ba3-b7da-8d4bed3c1fce · outbound

This paper cites Wendland,Scattered Data Approximation.

Koopman operator theory: fundamentals, control, and applications Wendland,Scattered Data Approximation

Reference 84

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.435779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:1c1f5c6078152c7a0772f768dc12dcc23e62e5ea183f668789e145e3ca5201da

Observation a4d2d41b-66fe-4633-8552-63ec67716f77 · outbound

This paper cites Universal Kernels,.

Koopman operator theory: fundamentals, control, and applications Universal Kernels,

Reference 85

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.512661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:d7eac4cb59a10d6f68f70873fcf1aba8cb36f84fd7f7a1fc7462cf94cdc41996

Observation c16475c0-4ff6-4742-8558-5cab59d2ef0c · outbound

This paper cites Information Rates of Non- parametric Gaussian Process Methods,.

Koopman operator theory: fundamentals, control, and applications Information Rates of Non- parametric Gaussian Process Methods,

Reference 86

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.532868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:0c6c017e9131d06e38325443b56d5fda4d1e288b8428932549df4221d4f81390

Observation dc688a61-3cae-41a9-abc2-baf47e0955bd · outbound

This paper cites Gaussian Processes and Kernel Methods: A Review on Connections and Equivalences.

Koopman operator theory: fundamentals, control, and applications Gaussian Processes and Kernel Methods: A Review on Connections and Equivalences

Reference 87

Resolution
verified exact
local_arxiv, observed 2026-07-03T08:07:44.929124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:61f3d80f76b87aa45c2ecbc696e7ecf9e544a0c897540c2886e89ff839c6043c

Observation 2a2028a8-fbb1-4114-88cc-c0111f9cd09a · outbound

This paper cites The Kernel Perspective on Dynamic Mode Decomposition,.

Koopman operator theory: fundamentals, control, and applications The Kernel Perspective on Dynamic Mode Decomposition,

Reference 88

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.534714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:2350ce2a46ca8c78954cf2312ffe0b6048e576a60a1db92caafecab23b394ea3

Observation f1ca9c1c-0579-403e-8b93-2c05ab3fbd15 · outbound

This paper cites Using the Nystr ¨om Method to Speed up Lernel Machines,.

Koopman operator theory: fundamentals, control, and applications Using the Nystr ¨om Method to Speed up Lernel Machines,

Reference 89

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.584372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:8704aaaa74a32b511aa676e7e4f94fef5f6cb19bca8b113fba204a820b969632

Observation 0bfbdae3-182a-4838-8a76-9d52e87e1888 · outbound

This paper cites Sketching as a Tool for Numerical Linear Algebra,.

Koopman operator theory: fundamentals, control, and applications Sketching as a Tool for Numerical Linear Algebra,

Reference 90

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.536526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:a43ae53c8a8da90280e9261952630a8d7b20ba8e77dec58489a5a55bf7d29527

Observation 080ed0f3-5b55-41f3-9734-965136069022 · outbound

This paper cites Kernel Methods through the Roof: Handling Billions of Points Efficiently,.

Koopman operator theory: fundamentals, control, and applications Kernel Methods through the Roof: Handling Billions of Points Efficiently,

Reference 91

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.421548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:09d992e929ee254431599ea05d2974eccbe87191e6aa1f1b2e09684072df9540

Observation 90d52311-460d-487e-b1f9-173bc65174f3 · outbound

This paper cites A Quantitative Analysis of Koopman Op- erator Methods for System Identification and Predictions,.

Koopman operator theory: fundamentals, control, and applications A Quantitative Analysis of Koopman Op- erator Methods for System Identification and Predictions,

Reference 92

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.423819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:ba7a7141dd40fea179ee3df1b97623b7798835dccbfd5be4d81f507f4bdea1b2

Observation a9cadc76-c00e-426c-847c-f160718a8596 · outbound

This paper cites Finite-Data Error Bounds for Koopman-based Prediction and Con- trol,.

Koopman operator theory: fundamentals, control, and applications Finite-Data Error Bounds for Koopman-based Prediction and Con- trol,

Reference 93

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.538239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:c94a3288d0f255d791b40125a8bc7e4dc50dec6761a9b6ddab7b972c9097f341

Observation 6aad93e4-8791-46b2-b4f4-6f02b2693aa2 · outbound

This paper cites Variance Representations and Convergence Rates for Data-Driven Approximations of Koopman Operators,.

Koopman operator theory: fundamentals, control, and applications Variance Representations and Convergence Rates for Data-Driven Approximations of Koopman Operators,

Reference 94

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.541989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:095e940849f5fa5627d711e0a16ffdee94f074cd00d1b1819c332b67ee43eca9

Observation 3855a25c-335d-4929-b2f0-c098b339d396 · outbound

This paper cites Towards Reliable Data-Based Optimal and Predictive Control using Extended DMD,.

Koopman operator theory: fundamentals, control, and applications Towards Reliable Data-Based Optimal and Predictive Control using Extended DMD,

Reference 95

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.543720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:24f7e636080832ca12854a79dc49d89b5d15662354b42e2635eaae653ea13b5c

Observation c6e76609-8036-4fa1-8718-fe5de10ae653 · outbound

This paper cites Diffeomorphically Learning Stable Koopman Operators,.

Koopman operator theory: fundamentals, control, and applications Diffeomorphically Learning Stable Koopman Operators,

Reference 96

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.524652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:9a9b027c01d1fea22eeeca79bf40718cd6b2152fb75e4385f2947b68ae41e6a4

Observation 11d344f8-79bb-4223-a491-477ae31ee093 · outbound

This paper cites Shaping the Koopman Dictionary by Learning on the Grassmannian,.

Koopman operator theory: fundamentals, control, and applications Shaping the Koopman Dictionary by Learning on the Grassmannian,

Reference 97

Resolution
verified exact
arxiv_id, observed 2026-07-03T08:07:44.916307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:c29ad43ea12977dd52fa4e57ae2be6e3f0fb970fe623a52bde1bac73e1e47598

Observation 59331c41-e64b-4362-9ada-68603287d8e3 · outbound

This paper cites Kernel- based Koopman Approximants for Control: Flexible Sampling, Error Analysis, and Stability,.

Koopman operator theory: fundamentals, control, and applications Kernel- based Koopman Approximants for Control: Flexible Sampling, Error Analysis, and Stability,

Reference 98

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.416691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:3ad3ac648064e6f31b36f57d8011f0d33c5056c65bf5ec86362a659769d6603b

Observation 0466ccf4-8840-4e9a-a599-c75ef93ac196 · outbound

This paper cites Excitation of control-affine systems and Koopman error bounds.

Koopman operator theory: fundamentals, control, and applications Excitation of control-affine systems and Koopman error bounds

Reference 99

Resolution
verified exact
local_arxiv, observed 2026-07-03T08:07:44.935552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:0e20ead9f4a5b58ae9a24be6f33d00005e9454be8964c61b7b53478385df55d8

Observation a370dfcc-e3e5-4b61-a154-4aaad2f02d5b · outbound

This paper cites Error Bounds for Kernel-based Approximations of the Koop- man Operator,.

Koopman operator theory: fundamentals, control, and applications Error Bounds for Kernel-based Approximations of the Koop- man Operator,

Reference 100

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.425635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:09484942366148fab04f167e250f6b19b66fbe220058cd8a651faa5c85523ec6

Pith citing papers

Observation bffe020d-bdc2-4396-832c-57756213625f · inbound

Machines that Predict Trajectories from Templates cites this paper.

Machines that Predict Trajectories from Templates Koopman operator theory: fundamentals, control, and applications

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-14T04:49:03.001111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T04:49:03.001111Z digest=sha256:9a6145ef9a97846d21256baab7a8c4777af8080485ac42c94356d77f4f2f0567