Paper Citation Record · LEDGER

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem

As of 8 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2505.21842.

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

pith.paper-citation-record.v1
2505.21842 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:30:24.302831Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

verified exact7
verified fuzzy4
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch5

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 35294ad9-150a-4af9-adf2-d51051037131 · outbound

This paper cites Optimal Control.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Optimal Control

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T13:30:22.260368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86832d55-09cf-4a35-a691-37974370c4e7 · outbound

This paper cites Nonlinear Dynamical Systems and Control.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Nonlinear Dynamical Systems and Control

Reference 2

Resolution: verified exact; doi, observed 2026-08-07T13:30:27.045439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9fd36736-6f7b-46ec-82f3-085a98a83827 · outbound

This paper cites Optimal and Auton omous Control Using Reinforcement Learning: A Survey.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Optimal and Auton omous Control Using Reinforcement Learning: A Survey

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T13:30:22.388409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 089d7728-8485-48ca-a198-052d1c8979a5 · outbound

This paper cites Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach

Reference 4

Resolution: verified exact; doi, observed 2026-08-07T13:30:26.654740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a437358e-b178-4baa-bea3-e31336b1fd3d · outbound

This paper cites Online actor–critic algorithm to solv e the continuous-time inﬁnite horizon optimal control problem.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Online actor–critic algorithm to solv e the continuous-time inﬁnite horizon optimal control problem

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T13:30:22.645163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 964a6107-ad40-447e-b17e-1c266213d008 · outbound

This paper cites Adaptive Optimal Contr ol of Unknown Constrained-Input Systems Using Policy Iteration and Neural Networks.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Adaptive Optimal Contr ol of Unknown Constrained-Input Systems Using Policy Iteration and Neural Networks

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:29.997989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation af9c6cba-2661-46ac-93fe-37a053ae1c28 · outbound

This paper cites Eﬃcient model-based reinforcemen t learning for approximate online optimal control.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Eﬃcient model-based reinforcemen t learning for approximate online optimal control

Reference 7

Resolution: verified exact; doi, observed 2026-08-07T13:30:26.254837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5e7fda01-d330-43a1-8135-27586f274713 · outbound

This paper cites Data-Driven Dynamic Multiobjective Opt imal Control: An Aspiration-Satisfying Rein- forcement Learning Approach.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Data-Driven Dynamic Multiobjective Opt imal Control: An Aspiration-Satisfying Rein- forcement Learning Approach

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T13:30:23.014426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aec15734-b177-414d-97c0-8fd288062759 · outbound

This paper cites Robust Adaptive Dynamic Programming and Feedback S tabilization of Nonlinear Systems.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Robust Adaptive Dynamic Programming and Feedback S tabilization of Nonlinear Systems

Reference 9

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T13:30:28.848881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0ab60fb2-8f8b-4aef-9c12-d52e979f01d3 · outbound

This paper cites Multiple Acto r-Critic Structures for Continuous-Time Optimal Control Using Input-Output Data.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Multiple Acto r-Critic Structures for Continuous-Time Optimal Control Using Input-Output Data

Reference 10

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T13:30:28.696966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 77fe8c88-923e-4b6e-87d8-2c62f103869e · outbound

This paper cites Resilient data-driven asymmetric biparti te consensus for nonlinear multi-agent systems against DoS attacks.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Resilient data-driven asymmetric biparti te consensus for nonlinear multi-agent systems against DoS attacks

Reference 11

Resolution: verified exact; doi, observed 2026-08-07T13:30:25.935095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5ef0099d-ad09-4f3b-9388-b9b8c66c899b · outbound

This paper cites MACM: Utilizing a Multi-Ag ent System for Condition Mining in Solving Complex Mathematical Problems.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem MACM: Utilizing a Multi-Ag ent System for Condition Mining in Solving Complex Mathematical Problems

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:29.839686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3b46ec40-0a58-495f-88f1-e605537d74b7 · outbound

This paper cites Optimal Output-Feedback Control of Unknown Continuous-Time Linear Sys- tems Using Oﬀ-policy Reinforcement Learning.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Optimal Output-Feedback Control of Unknown Continuous-Time Linear Sys- tems Using Oﬀ-policy Reinforcement Learning

Reference 13

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T13:30:28.539233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 75250d6a-e067-4008-9926-1ae0dead7e7b · outbound

This paper cites Approximate Solutions to the Time-Invariant Hamilton–Jacobi–Bellman Equation.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Approximate Solutions to the Time-Invariant Hamilton–Jacobi–Bellman Equation

Reference 14

Resolution: verified exact; doi, observed 2026-08-07T13:30:25.636544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2a5d887c-d913-4ec2-a1af-f98ba16b2a7e · outbound

This paper cites Physics-informed neural net works: A deep learning framework for solving forward and inverse problems involving nonlinear partial diﬀerential equations.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Physics-informed neural net works: A deep learning framework for solving forward and inverse problems involving nonlinear partial diﬀerential equations

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:29.657442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f142a3e0-0fd5-4e4b-b549-50178b8bd07b · outbound

This paper cites Physics-I nformed Neural Networks for Closed-Loop Guidance and Control in Aerospace Systems.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Physics-I nformed Neural Networks for Closed-Loop Guidance and Control in Aerospace Systems

Reference 16

Resolution: verified exact; doi, observed 2026-08-07T13:30:25.034829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 211fa31e-4890-4a66-be59-715db4110158 · outbound

This paper cites A Physics-Informed Neural Networks Framework to Solve the Inﬁnite- Horizon Optimal Control Problem.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem A Physics-Informed Neural Networks Framework to Solve the Inﬁnite- Horizon Optimal Control Problem

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T13:30:23.937902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c19bee3c-cc4e-487d-807e-693cee8966d8 · outbound

This paper cites Matrix Mathematics: Theory, Facts, and Formulas.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Matrix Mathematics: Theory, Facts, and Formulas

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T13:30:23.985894Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53d63fe3-73a8-49bc-91f4-ccfb2b9c9e4a · outbound

This paper cites Adam: A Method for Stochastic Optimization.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Adam: A Method for Stochastic Optimization

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T13:30:24.056500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b0c9594-c6bd-44a8-a890-ce0103471dbe · outbound

This paper cites Principles of Mathematical Analysis.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Principles of Mathematical Analysis

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:29.507956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d0ae0658-2d9d-41c5-b485-e54eade1e651 · outbound

This paper cites Policy Iteration Adaptive Dynamic Programming Algo rithm for Discrete-Time Nonlinear Systems.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Policy Iteration Adaptive Dynamic Programming Algo rithm for Discrete-Time Nonlinear Systems

Reference 21

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T13:30:28.026767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 557743c1-ba06-410d-bfee-48c4af8aefd7 · outbound

This paper cites Neural network approach to continuous-time d irect adaptive optimal control for partially unknown nonlinear systems.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Neural network approach to continuous-time d irect adaptive optimal control for partially unknown nonlinear systems

Reference 22

Resolution: verified exact; doi, observed 2026-08-07T13:30:24.604947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 10f97ccb-dd5f-4770-a6a6-e4abb8e936e1 · outbound

This paper cites Global Output-Feedback Prescribed Perform ance Control of Nonlinear Systems With Unknown Virtual Control Coeﬃcients.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Global Output-Feedback Prescribed Perform ance Control of Nonlinear Systems With Unknown Virtual Control Coeﬃcients

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T13:30:24.302831Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a14b11e-594c-4005-96e9-8213619af351 · outbound

This paper cites an unresolved cited work.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Unresolved cited work

Reference 707

Resolution: unresolved; no resolver link, observed 2026-08-07T13:30:23.744747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 084bbf55-c92b-4c33-9c82-ff15195f9b40 · outbound

This paper cites an unresolved cited work.

A Physics-Informed Learning Framework to Solve the Infinite-Horizon Optimal Control Problem Unresolved cited work

Reference 1525

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T13:30:29.205165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.