Paper Citation Record · LEDGER

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators

As of 19 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 2 inbound Pith citation observations for arXiv:2412.02972.

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

pith.paper-citation-record.v1
2412.02972 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:59:34.791222Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T22:23:32.468615Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T06:56:31.195538Z

Reference resolution

34 of 34 outbound references displayed

verified exact1
verified fuzzy26
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a022558c-517d-4491-82c6-df79f57a1555 · outbound

This paper cites Adaptive model predictive control for constrained nonlinear systems.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Adaptive model predictive control for constrained nonlinear systems

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T22:59:34.647502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14c9fac8-1cfb-4300-a3f6-e3d4e40d6cbf · outbound

This paper cites An incremental approach to online dynamic mode decomposition for time-varying systems with applications to EEG data modeling, 2020.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators An incremental approach to online dynamic mode decomposition for time-varying systems with applications to EEG data modeling, 2020

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.431958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6c76d3b9-d7ca-457d-ad41-31d89ba1e06d · outbound

This paper cites A data-driven K oopman model predictive control framework for nonlinear partial differential equations.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators A data-driven K oopman model predictive control framework for nonlinear partial differential equations

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.418746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8d16778c-7bd7-4d44-8417-793d22480b8a · outbound

This paper cites Brunton and J.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Brunton and J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T22:59:34.661735Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba2662b0-cc41-429b-81fd-ad490d55b3fd · outbound

This paper cites Deem, Louis N.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Deem, Louis N

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.393878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 207ea197-8f7a-4016-9d12-f41e5060dcf9 · outbound

This paper cites Katzschmann.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Katzschmann

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.378020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 41db24a0-2286-46ec-849f-e3e6711116bf · outbound

This paper cites Hemati, Matthew O.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Hemati, Matthew O

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.363630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cde58efd-618b-4708-97b5-a691ba737f12 · outbound

This paper cites Zeilinger.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Zeilinger

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.349813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d9bb1443-da77-4ca9-ac3d-f262ea3ac6f0 · outbound

This paper cites Koopman form of nonlinear systems with inputs.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Koopman form of nonlinear systems with inputs

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.337106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ea9ff1ff-7b32-4cc1-ac20-259b6e47b966 · outbound

This paper cites Klenske, Melanie N.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Klenske, Melanie N

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.322088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d8743dab-e595-49c3-8ad2-e5fcb80fcc7b · outbound

This paper cites Linear predictors for nonlinear dynamical systems: K oopman operator meets model predictive control.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Linear predictors for nonlinear dynamical systems: K oopman operator meets model predictive control

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.307594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fd1b5ed5-88b7-4ca2-97f5-f088452934d6 · outbound

This paper cites Continual Learning and Lifting of Koopman Dynamics for Linear Control of Legged Robots.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Continual Learning and Lifting of Koopman Dynamics for Linear Control of Legged Robots

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T22:59:34.696640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6b15e1f-a8e1-4564-9071-44ff62e192ba · outbound

This paper cites Continuous control with deep reinforcement learning.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Continuous control with deep reinforcement learning

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T22:59:34.701395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7e4349f-9bfb-450b-aef3-0967563350bb · outbound

This paper cites Kutz, and Steven L.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Kutz, and Steven L

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.294829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a74360e0-67f9-4e23-8385-e786009cc28b · outbound

This paper cites The Koopman Operator in Systems and Control.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators The Koopman Operator in Systems and Control

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.282129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e9d8ad30-8e79-4350-a945-3b263cbce323 · outbound

This paper cites Ostafew, Angela P.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Ostafew, Angela P

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.267483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 22d0f5a7-05ec-4226-a474-5376f338e0d4 · outbound

This paper cites Ostafew, Angela P.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Ostafew, Angela P

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.247882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 00dc64f8-d2d8-4161-a233-84ba7e6e3fff · outbound

This paper cites Physics-informed probabilistic learning of linear embeddings of nonlinear dynamics with guaranteed stability.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Physics-informed probabilistic learning of linear embeddings of nonlinear dynamics with guaranteed stability

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.232699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 22ef331e-4423-491f-91f6-1e698ebb0d41 · outbound

This paper cites On the lifting and reconstruction of nonlinear systems with multiple invariant sets.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators On the lifting and reconstruction of nonlinear systems with multiple invariant sets

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.218485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 54323e93-c9db-442a-a92c-571f288438cc · outbound

This paper cites Neural lander: Stable drone landing control using learned dynamics.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Neural lander: Stable drone landing control using learned dynamics

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.205386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fbbd043b-008c-4336-ad50-29554d14af69 · outbound

This paper cites Adaptive K oopman Embedding for Robust Control of Complex Nonlinear Dynamical Systems.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Adaptive K oopman Embedding for Robust Control of Complex Nonlinear Dynamical Systems

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T22:59:34.734582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f88488b4-c73d-432f-8144-8163552a1f68 · outbound

This paper cites Data driven online learning of power system dynamics.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Data driven online learning of power system dynamics

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.192818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 11b7c352-6e25-47fa-95e2-1418f652d678 · outbound

This paper cites Handling plant-model mismatch in Koopman Lyapunov-based model predictive control via offset-free control framework.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Handling plant-model mismatch in Koopman Lyapunov-based model predictive control via offset-free control framework

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T22:59:34.743920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd54e7d7-ba87-4734-8965-7212211b71b1 · outbound

This paper cites Learning K oopman invariant subspaces for dynamic mode decomposition.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Learning K oopman invariant subspaces for dynamic mode decomposition

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.179056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7e23c5d4-488a-42af-a871-20e903a16eb0 · outbound

This paper cites Control-aware Learning of K oopman Embedding Models.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Control-aware Learning of K oopman Embedding Models

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.164261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2d613091-8eb6-4c2d-b8ea-3f5c876a5d5d · outbound

This paper cites Data-driven K oopman controller synthesis based on the extended H _2 norm characterization.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Data-driven K oopman controller synthesis based on the extended H _2 norm characterization

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.150576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6a0bcaff-5466-4d8d-b272-ddaeb40e5ce9 · outbound

This paper cites Williams, I.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Williams, I

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.135077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 28efd32c-f343-412a-9630-af41d9ecc8ae · outbound

This paper cites Deep neural networks with K oopman operators for modeling and control of autonomous vehicles.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Deep neural networks with K oopman operators for modeling and control of autonomous vehicles

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.122700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f6da1858-20ef-4753-8928-c2afc96fa85c · outbound

This paper cites Hall, Siqi Zhou, Lukas Brunke, Melissa Greeff, Jacopo Panerati, and Angela P.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Hall, Siqi Zhou, Lukas Brunke, Melissa Greeff, Jacopo Panerati, and Angela P

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T22:59:34.770449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d254c73e-d399-48ae-b0c4-4b4f69f2689c · outbound

This paper cites Rowley, Eric A.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Rowley, Eric A

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.102360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 96c39686-cd42-4403-8e41-958ea8711944 · outbound

This paper cites Robust tube-based model predictive control with K oopman operators.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Robust tube-based model predictive control with K oopman operators

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.087749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4aae9a3a-9225-4c4c-9c35-d798eb4d00d1 · outbound

This paper cites Safe control of partially-observed linear time-varying systems with minimal worst-case dynamic regret.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Safe control of partially-observed linear time-varying systems with minimal worst-case dynamic regret

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.073265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e7e68886-6da9-44b1-9bf7-4afa2bdd83b4 · outbound

This paper cites Simultaneous System Identification and Model Predictive Control with No Dynamic Regret.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Simultaneous System Identification and Model Predictive Control with No Dynamic Regret

Reference 33

Resolution: verified exact; raw_fallback, observed 2026-08-11T22:59:34.918187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 96f88ee1-ad3e-4bb5-9e1b-97b043c1042f · outbound

This paper cites Safe non-stochastic control of control-affine systems: An online convex optimization approach.

Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators Safe non-stochastic control of control-affine systems: An online convex optimization approach

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:59:35.058762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation eea1d9f6-18f1-45ba-a90e-81cdaa03913f · inbound

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control cites this paper.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:32.468615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d71ba46b-dd63-4f7f-b363-16be8d31474b · inbound

SACK : Safe Active Continual Koopman Learning for Uncertain Systems with Contractive Guarantees cites this paper.

SACK : Safe Active Continual Koopman Learning for Uncertain Systems with Contractive Guarantees Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-12T06:56:31.199056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.