Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T04:45:44.494483Z
Paper Citation Record · LEDGER
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator
As of 18 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2412.01085.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
28 of 28 outbound references displayed
- verified exact2
- verified fuzzy21
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 274e2802-97ff-4a80-a468-4f010c6cd795 · outbound
This paper cites Galerkin approximations of the generalized H amilton- J acobi- B ellman equation.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Galerkin approximations of the generalized H amilton- J acobi- B ellman equation
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.742301Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ae79e9eb-5408-4787-9cc7-6ce764f93b9a · outbound
This paper cites Approximate solutions to the time-invariant H amilton-- J acobi-- B ellman equation.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Approximate solutions to the time-invariant H amilton-- J acobi-- B ellman equation
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.733436Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 64961f8b-cf36-4970-8d9c-dedead810ba1 · outbound
This paper cites Improving the Closed-Loop Performance of Nonlinear Systems.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Improving the Closed-Loop Performance of Nonlinear Systems
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.724832Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 22a25aef-7509-4f8d-81ac-1ca58c39cad1 · outbound
This paper cites Bellman, R.E.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Bellman, R.E
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T04:45:44.423679Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8671a0c4-899f-479c-a611-59ae865f3b5e · outbound
This paper cites A piecewise learning framework for control of unknown nonlinear systems with stability guarantees.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator A piecewise learning framework for control of unknown nonlinear systems with stability guarantees
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.709803Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e7406a32-0146-451c-a334-f3b15d0055f3 · outbound
This paper cites an unresolved cited work.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:45:44.701240Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 52b3c167-0065-4ce4-acda-52114ffde1e4 · outbound
This paper cites Computational adaptive optimal control for continuous-time linear systems with completely unknown dynamics.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Computational adaptive optimal control for continuous-time linear systems with completely unknown dynamics
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.693110Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation baa08dc7-24af-49ba-b4e2-a2d7bd5b2bb0 · outbound
This paper cites Robust adaptive dynamic programming and feedback stabilization of nonlinear systems.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Robust adaptive dynamic programming and feedback stabilization of nonlinear systems
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.684315Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2cba767e-afa3-4c01-a338-67dde49a83d6 · outbound
This paper cites Robust Adaptive Dynamic Programming.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Robust Adaptive Dynamic Programming
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.675620Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1710e8af-c5e4-47b0-92b5-70763134613b · outbound
This paper cites an unresolved cited work.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T04:45:44.667924Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1aa00837-cc84-41c9-af1c-e325cab0ee53 · outbound
This paper cites Hamiltonian systems and transformation in Hilbert space.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Hamiltonian systems and transformation in Hilbert space
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.660567Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6803942f-0ede-4ea0-aad6-7429b4bbad40 · outbound
This paper cites On convergence of extended dynamic mode decomposition to the K oopman operator.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator On convergence of extended dynamic mode decomposition to the K oopman operator
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.653310Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b76a9b86-1e54-44de-b942-9ccd87394680 · outbound
This paper cites Linear predictors for nonlinear dynamical systems: K oopman operator meets model predictive control.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Linear predictors for nonlinear dynamical systems: K oopman operator meets model predictive control
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.645894Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e8fd9acb-7b1d-4e50-8cb8-b7e9d56f2765 · outbound
This paper cites Construction of suboptimal control sequences.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Construction of suboptimal control sequences
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.636595Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bdd69ae5-307a-4294-b327-f145f6bdd1fd · outbound
This paper cites Physics-Informed Neural Network Lyapunov Functions: PDE Characterization, Learning, and Verification.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Physics-Informed Neural Network Lyapunov Functions: PDE Characterization, Learning, and Verification
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T04:45:44.531958Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation cebf75df-e79f-494e-85df-41ececa970db · outbound
This paper cites Koopman-based lifting techniques for nonlinear systems identification.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Koopman-based lifting techniques for nonlinear systems identification
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.627991Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 73e14d09-22e2-4b42-b7a6-b4614d82ebba · outbound
This paper cites The Koopman Operator in Systems and Control: Concepts, Methodologies, and Applications, volume 484.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator The Koopman Operator in Systems and Control: Concepts, Methodologies, and Applications, volume 484
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.619224Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d1111784-07e3-47a7-afc4-9fd95a63d95a · outbound
This paper cites Physics-informed neural network policy iteration: Algorithms, convergence, and verification.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Physics-informed neural network policy iteration: Algorithms, convergence, and verification
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.610926Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d03b4287-6136-49c0-abe1-cba338807f52 · outbound
This paper cites Koopman-Based Learning of Infinitesimal Generators without Operator Logarithm.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Koopman-Based Learning of Infinitesimal Generators without Operator Logarithm
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T04:45:44.521121Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 74bc4a16-7539-4d2f-95b1-7665b85d0cc8 · outbound
This paper cites An approximation theory of optimal control for trainable manipulators.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator An approximation theory of optimal control for trainable manipulators
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.602168Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b6a044c1-eb84-42fe-a2d9-793b07d7e406 · outbound
This paper cites Dynamic mode decomposition of numerical and experimental data.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Dynamic mode decomposition of numerical and experimental data
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T04:45:44.475368Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 81e16fef-0766-4201-9150-375eaaa07322 · outbound
This paper cites Neural network approach to continuous-time direct adaptive optimal control for partially unknown nonlinear systems.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Neural network approach to continuous-time direct adaptive optimal control for partially unknown nonlinear systems
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T04:45:44.478311Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fad415ee-cf9b-43ff-9c3d-29d042dd37a0 · outbound
This paper cites A data--driven approximation of the K oopman operator: Extending dynamic mode decomposition.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator A data--driven approximation of the K oopman operator: Extending dynamic mode decomposition
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.583134Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 59534bec-c8da-40bd-8f73-ec2423fe5b4b · outbound
This paper cites A sampling theorem for exact identification of continuous-time nonlinear dynamical systems.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator A sampling theorem for exact identification of continuous-time nonlinear dynamical systems
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.574542Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d3dd3c35-314a-41bc-b198-a8f1efda440d · outbound
This paper cites A generalized N yquist- S hannon sampling theorem using the K oopman operator.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator A generalized N yquist- S hannon sampling theorem using the K oopman operator
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.565884Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1bc745b7-b225-4ae2-b716-e58b2f0038ea · outbound
This paper cites A sampling theorem for exact identification of continuous-time nonlinear dynamical systems.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator A sampling theorem for exact identification of continuous-time nonlinear dynamical systems
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.556858Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f5103b3e-27d2-45e5-9d0c-7273a8e1a360 · outbound
This paper cites Data-driven optimal control of unknown nonlinear dynamical systems using the K oopman operator.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Data-driven optimal control of unknown nonlinear dynamical systems using the K oopman operator
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.548308Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a229b12c-cfa2-45d5-ba7b-13f6a3fdf154 · outbound
This paper cites Physics-informed extreme learning machine L yapunov functions.
Data-driven optimal control of unknown nonlinear dynamical systems using the Koopman operator Physics-informed extreme learning machine L yapunov functions
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T04:45:44.539927Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
No inbound Pith citation observations are available.