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Paper Citation Record · LEDGER

Koopman Representations of Dynamic Systems with Control

As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:1908.02233.

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

pith.paper-citation-record.v1
1908.02233 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:00:09.982826Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:41:06.552887Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T20:41:10.232730Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation de3e1ec7-6f11-4965-a64b-56ea2035ec19 · outbound

This paper cites Applied koopmanis m,.

Koopman Representations of Dynamic Systems with Control Applied koopmanis m,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.201720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:00:09.921044Z digest=sha256:e57a4311280faa508cb0029081270714c43658ce7cd904c60d5812b188caee3e

Observation 18356ee6-5ccf-469b-bf66-a5b656353e4e · outbound

This paper cites Koopman analysis of burgers equation,.

Koopman Representations of Dynamic Systems with Control Koopman analysis of burgers equation,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.188333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:00:09.926030Z digest=sha256:337590d3e92eee6c7ad052c9a1d2bc9ae083491d1b1c0f2188054c44da4666fc

Observation fc0315ab-403b-40ce-8389-60469c042247 · outbound

This paper cites On dynamic mode decomposition: Theory and applications,.

Koopman Representations of Dynamic Systems with Control On dynamic mode decomposition: Theory and applications,

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T15:00:09.930646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:00:09.930646Z digest=sha256:474fa70ddb7d639333ad8662b7bcbb3c2767bfdaa5d71a2d2899d80292e456f8

Observation 8d0e7569-bc14-4412-b0a1-373946dda486 · outbound

This paper cites A data–driven approximation of the koopman operator: Extend ing dynamic mode decomposition,.

Koopman Representations of Dynamic Systems with Control A data–driven approximation of the koopman operator: Extend ing dynamic mode decomposition,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.166423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:00:09.934930Z digest=sha256:fac67bd313f755afce2e0ec15dcce12dd36f745bbf7f84598e497bbeca6dd90c

Observation 6f22259f-1a64-4904-96bd-720130e28d3a · outbound

This paper cites Koopman Theory for Partial Differential Equations.

Koopman Representations of Dynamic Systems with Control Koopman Theory for Partial Differential Equations

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-14T15:00:09.939186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:00:09.939186Z digest=sha256:b10e4e6c7507d5559591c886bdebc653493f7d35d1358598e1f7bfd565c91dde

Observation 67702597-e57c-4398-9527-069af5328591 · outbound

This paper cites Generalizin g koopman theory to allow for inputs and control,.

Koopman Representations of Dynamic Systems with Control Generalizin g koopman theory to allow for inputs and control,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.152393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:00:09.944232Z digest=sha256:ba7c2afc6137ebc951ec61dafd9e96b7d3affb5942d5f3189880a5872caf635a

Observation f601f465-0364-498d-bcda-052a707f6db2 · outbound

This paper cites Extending data-driven koopman analysis t o actuated systems,.

Koopman Representations of Dynamic Systems with Control Extending data-driven koopman analysis t o actuated systems,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.137022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:00:09.948985Z digest=sha256:127f8160411ed68c5a9b12c0b11cd8fa9d760d06bf7538892ce58f6408e65d2d

Observation 9fcdf06c-3b42-4541-bfc5-d0fc39be0c48 · outbound

This paper cites Linear predictors for nonlinear dynami- cal systems: Koopman operator meets model predictive contr ol,.

Koopman Representations of Dynamic Systems with Control Linear predictors for nonlinear dynami- cal systems: Koopman operator meets model predictive contr ol,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.123821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:00:09.952973Z digest=sha256:38d7ad64b24ceeb1a0fc802a873a9863485ab97bd6a784ee9301a8fab98e60fb

Observation ca6a15a6-94db-4e74-99ab-b69f26e44ead · outbound

This paper cites A Kernel-Based Approach to Data-Driven Koopman Spectral Analysis.

Koopman Representations of Dynamic Systems with Control A Kernel-Based Approach to Data-Driven Koopman Spectral Analysis

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T15:00:09.956998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:00:09.956998Z digest=sha256:ed846428ce6a0c19f0888bce8f0f93d4ea8015f99aa1686012814864c4ee3133

Observation 50e59caa-7b9f-45a0-b60b-09f9073c326b · outbound

This paper cites Learning Deep Neural Network Representations for Koopman Operators of Nonlinear Dynamical Systems.

Koopman Representations of Dynamic Systems with Control Learning Deep Neural Network Representations for Koopman Operators of Nonlinear Dynamical Systems

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T15:00:09.961607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:00:09.961607Z digest=sha256:a68a15df4d5cece62d90d28da443eab162f960547454d4420acf3a53ebeb0684

Observation a9a39669-b8d9-4f42-8489-cb5349e0fa95 · outbound

This paper cites Ex tended dynamic mode decomposition with dictionary learning: A dat a- driven adaptive spectral decomposition of the koopman oper a- tor,.

Koopman Representations of Dynamic Systems with Control Ex tended dynamic mode decomposition with dictionary learning: A dat a- driven adaptive spectral decomposition of the koopman oper a- tor,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.110033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:00:09.965878Z digest=sha256:c2ba3585d109f95c4265a0586b82bb9f7ba21c2201aac17f54016fd8682e88c6

Observation 56618d3d-58e2-45cf-9b70-35b5bf5896ef · outbound

This paper cites Koopman invariant subspaces and finite linear representat ions of nonlinear dynamical systems for control,.

Koopman Representations of Dynamic Systems with Control Koopman invariant subspaces and finite linear representat ions of nonlinear dynamical systems for control,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.096601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:00:09.970095Z digest=sha256:f4289bbffe244fa39301f28c3588b1db9d23e3b037d3161aa49e9b7ef9f23fa5

Observation 97b562ca-8fc2-444d-8adc-148d090a67a8 · outbound

This paper cites Dynamic mod e de- composition with control,.

Koopman Representations of Dynamic Systems with Control Dynamic mod e de- composition with control,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.082750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:00:09.974448Z digest=sha256:38bc0bf9417b6e436331293af458c591d1eab8a5384299892154387fbd76f1c4

Observation 38a8d3b2-3ddc-4b83-9d73-1f22833b2115 · outbound

This paper cites Data-driven discovery of Koopman eigenfunctions for control.

Koopman Representations of Dynamic Systems with Control Data-driven discovery of Koopman eigenfunctions for control

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T15:00:09.978469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:00:09.978469Z digest=sha256:909fa38cc48f68fcad0f8fbe76468b80c3e8a818fa80f993ad22e5d0c1ea5a07

Observation 9fece94a-2e58-43cd-ab5b-e339c593844c · outbound

This paper cites A data-driven Koopman model predictive control framework for nonlinear flows.

Koopman Representations of Dynamic Systems with Control A data-driven Koopman model predictive control framework for nonlinear flows

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T15:00:09.982826Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:00:09.982826Z digest=sha256:7b7adecc4a6bad6ac93880e35fee855bf8aabd1afda415ce0261588c410083c5

Pith citing papers

Observation cf3ace82-f3c9-45cf-8891-979c2d7cdbe5 · inbound

Operator-Theoretic Methods for Differential Games cites this paper.

Operator-Theoretic Methods for Differential Games Koopman Representations of Dynamic Systems with Control

Reference 31

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T20:41:10.327122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T20:41:06.552887Z digest=sha256:8991d621bc3cbd25dc6e02adc3ff93ed0e623c77042bea87697d199281ef365b