Paper Citation Record · LEDGER

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees

As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 3 inbound Pith citation observations for arXiv:2501.08709.

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

pith.paper-citation-record.v1
2501.08709 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:27:22.002340Z

measured 28 of 28 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:25:45.658684Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-17T05:19:04.598689Z

Reference resolution

25 of 25 outbound references displayed

verified exact0
verified fuzzy20
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 46533042-82dc-40bf-ba36-29820c5a2822 · outbound

This paper cites Nonparametric Control Koopman Operators.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Nonparametric Control Koopman Operators

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T20:27:21.798599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d224b2ce-3e7e-47c5-9e31-a510cac6ea7a · outbound

This paper cites Stability and feasibility of state constrained MPC without stabilizing terminal constraints.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Stability and feasibility of state constrained MPC without stabilizing terminal constraints

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.716427Z

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.

Observation 0a954e23-39a8-4128-b4b7-bbe0834fb85e · outbound

This paper cites Data-driven MPC with stability guarantees using extended dynamic mode decomposition.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Data-driven MPC with stability guarantees using extended dynamic mode decomposition

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.697946Z

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.

Observation 9e9085d8-d7f5-444b-8dc8-5c686b65d984 · outbound

This paper cites Kernel-based Koopman approximants for control: Flexible sampling, error analysis, and stability.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Kernel-based Koopman approximants for control: Flexible sampling, error analysis, and stability

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-10T20:27:21.820889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2849642a-9900-4091-8ae4-9de21509caeb · outbound

This paper cites Fasshauer and Q.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Fasshauer and Q

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.663638Z

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.

Observation 5ba62bdb-2cd3-41ec-8c30-d57acf89862c · outbound

This paper cites Behavioral theory for stochastic systems? A data-driven journey from Willems to Wiener and back again.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Behavioral theory for stochastic systems? A data-driven journey from Willems to Wiener and back again

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.647133Z

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.

Observation 2b58b48e-fcb5-44ed-a143-cdb0cc1f6903 · outbound

This paper cites Bilinearization, reachability, and optimal control of control-affine nonlinear systems: A Koopman spectral approach.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Bilinearization, reachability, and optimal control of control-affine nonlinear systems: A Koopman spectral approach

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.627641Z

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.

Observation b67cf321-1cf0-4f48-bd35-2c8ff6de0864 · outbound

This paper cites Nominally robust model predictive control with state constraints.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Nominally robust model predictive control with state constraints

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.609083Z

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.

Observation 66c40df7-9708-452d-b037-a4d8745fe6b3 · outbound

This paper cites Nonlinear model predictive control.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Nonlinear model predictive control

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.591332Z

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.

Observation 2527f639-df41-44d3-87a7-c87df5ab82ce · outbound

This paper cites Analysis of unconstrained nonlinear MPC schemes with time varying control horizon.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Analysis of unconstrained nonlinear MPC schemes with time varying control horizon

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.559211Z

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.

Observation b2b5f01b-e757-410d-a3f4-e6985492ff59 · outbound

This paper cites Koopman form of nonlinear systems with inputs.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Koopman form of nonlinear systems with inputs

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.531570Z

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.

Observation de1bd7cb-3964-4dda-90d4-c17545a89e3e · outbound

This paper cites $L^\infty$-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees $L^\infty$-error bounds for approximations of the Koopman operator by kernel extended dynamic mode decomposition

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-10T20:27:21.903421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb6b43a9-40b7-4340-a7e8-7ed082692a82 · outbound

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

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.490105Z

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.

Observation 22d44e81-6dcd-41fe-8bb7-efd11e2ba41b · outbound

This paper cites A stabilizing model-based predictive control algorithm for nonlinear systems.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees A stabilizing model-based predictive control algorithm for nonlinear systems

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.461888Z

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.

Observation 3620a64b-07cd-479b-9a91-ab5b5afb2490 · outbound

This paper cites Introduction to the Koopman Operator in Dynamical Systems and Control Theory, pages 3–33.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Introduction to the Koopman Operator in Dynamical Systems and Control Theory, pages 3–33

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.443081Z

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.

Observation 633386e8-5b5a-49ba-be2f-5cace270802b · outbound

This paper cites Finite-data error bounds for Koopman-based prediction and control.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Finite-data error bounds for Koopman-based prediction and control

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.418340Z

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.

Observation d79c8c91-1f60-4b4b-a83e-dc228f8c8fd6 · outbound

This paper cites Otto, and Clarence W.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Otto, and Clarence W

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.397848Z

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.

Observation a66a23f6-a5ec-44cb-867c-d28c219bae4e · outbound

This paper cites Dynamic mode decomposition with control.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Dynamic mode decomposition with control

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T20:27:21.946804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78f2e98e-a7e6-407c-81d3-1d86beb4cddc · outbound

This paper cites Towards reliable data-based optimal and predictive control using extended DMD.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Towards reliable data-based optimal and predictive control using extended DMD

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.365902Z

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.

Observation 20e71524-dbae-4764-bcdd-71ea7a0a7e9e · outbound

This paper cites Scattered data approximation, volume 17.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Scattered data approximation, volume 17

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.345228Z

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.

Observation f9ae8275-5bf2-4086-a2ed-cda23a8e0c2b · outbound

This paper cites A note on persistency of excitation.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees A note on persistency of excitation

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-10T20:27:21.967569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05f2a0de-c2a3-4fc2-b6ad-7bdf98d25576 · outbound

This paper cites A data–driven approximation of the Koopman operator: Extending dynamic mode decomposition.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees A data–driven approximation of the Koopman operator: Extending dynamic mode decomposition

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.303799Z

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.

Observation 6798463d-3db9-4594-a4ff-4277b5cd74ca · outbound

This paper cites Estimates on the prediction horizon length in MPC.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Estimates on the prediction horizon length in MPC

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.275689Z

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.

Observation 9f5047c1-0cf1-4eeb-805e-3a982d5ee90c · outbound

This paper cites Data-driven MPC with termi- nal conditions in the Koopman framework.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Data-driven MPC with termi- nal conditions in the Koopman framework

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.253719Z

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.

Observation 8b690a5f-eb21-4848-89dd-b1006093ffcc · outbound

This paper cites Learning deep neural network representations for Koopman operators of nonlinear dynamical systems.

Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees Learning deep neural network representations for Koopman operators of nonlinear dynamical systems

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:27:22.213328Z

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.

Pith citing papers

Observation 8154cd62-2df5-462c-b6d0-79184ddc3ca9 · inbound

Two-component controller design to safeguard data-driven predictive control cites this paper.

Two-component controller design to safeguard data-driven predictive control Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T14:25:45.658684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b168b0a-e254-4012-94b5-a304722b1586 · inbound

A Data-Driven Prescribed-Time Control Framework via Koopman Operator and Adaptive Backstepping cites this paper.

A Data-Driven Prescribed-Time Control Framework via Koopman Operator and Adaptive Backstepping Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T20:31:41.244763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11a0235d-0318-40f8-a094-19b6db5b27d3 · inbound

Stability of data-driven Koopman MPC with terminal conditions cites this paper.

Stability of data-driven Koopman MPC with terminal conditions Kernel EDMD for data-driven nonlinear Koopman MPC with stability guarantees

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-05-17T05:19:04.600894Z

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.