Paper Citation Record · LEDGER

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems

As of 15 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2607.06459.

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

pith.paper-citation-record.v1
2607.06459 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T11:50:26.030339Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

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Source: cited_works

Reference resolution

26 of 26 outbound references displayed

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External citation measurements

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Outbound references

Observation f11603e7-7900-4805-85da-6aded432ba59 · outbound

This paper cites Smooth stabilization implies coprime factoriza- tion.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Smooth stabilization implies coprime factoriza- tion

Reference 1

Resolution: verified exact; doi, observed 2026-07-08T05:34:32.284878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f6a13718-2f3a-4521-842b-bc73f71e2ce6 · outbound

This paper cites On characterizations of the input-to-state stability property,.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems On characterizations of the input-to-state stability property,

Reference 2

Resolution: verified exact; doi, observed 2026-07-08T05:34:32.269666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation dcebb55e-1d57-4490-83d2-47818c7bb7ae · outbound

This paper cites Small-gain theorem for ISS systems and applications,.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Small-gain theorem for ISS systems and applications,

Reference 3

Resolution: verified exact; doi, observed 2026-07-08T05:34:32.233879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e92e50b8-3d82-479c-ba10-1b45e6eed851 · outbound

This paper cites Input-to-state stability for discrete-time nonlinear systems,.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Input-to-state stability for discrete-time nonlinear systems,

Reference 4

Resolution: verified exact; doi, observed 2026-07-08T05:34:32.254056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8497759d-ed46-4987-84c6-6c65f4ead710 · outbound

This paper cites A characterization of integral input-to-state stability,.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems A characterization of integral input-to-state stability,

Reference 5

Resolution: verified exact; doi, observed 2026-07-08T05:34:32.274720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 86e0800c-fda6-4763-94ab-38babb275ecb · outbound

This paper cites Angeli, A Lyapunov approach to incremental stability properties, IEEE Trans.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Angeli, A Lyapunov approach to incremental stability properties, IEEE Trans

Reference 6

Resolution: verified exact; doi, observed 2026-07-08T05:34:32.282297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cc4bee77-3f45-4a5e-8b93-5bce93b0e324 · outbound

This paper cites Small gain theorems for large scale systems and construction of ISS Lyapunov functions,.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Small gain theorems for large scale systems and construction of ISS Lyapunov functions,

Reference 7

Resolution: verified exact; doi, observed 2026-07-08T05:34:32.245214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7d4139de-7ecb-4919-9880-f100824487c1 · outbound

This paper cites Characterizations of input-to-state stability for infinite-dimensional systems,.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Characterizations of input-to-state stability for infinite-dimensional systems,

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-08T05:34:32.286906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b28a8aad-5c29-4343-95ca-b58224318c5b · outbound

This paper cites Bettering operation of robots by learning,.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Bettering operation of robots by learning,

Reference 9

Resolution: verified exact; doi, observed 2026-07-08T05:34:32.283122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 30eb6489-10d6-49a7-a357-965962966af9 · outbound

This paper cites an unresolved cited work.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Unresolved cited work

Reference 10

Resolution: verified exact; doi, observed 2026-07-08T05:34:32.252195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0a5a90a6-bbe0-46af-80e8-6c24f42f7d89 · outbound

This paper cites Iterative learning control using optimal feedback and feedforward actions,.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Iterative learning control using optimal feedback and feedforward actions,

Reference 11

Resolution: verified exact; doi, observed 2026-07-08T05:34:32.288982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 95e59b9f-46ae-4c9f-8108-4dc394c4b6fa · outbound

This paper cites Numerical simulation of the gas-solid flow in a fluidized bed by combining discrete particle method with computational fluid dynamics.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Numerical simulation of the gas-solid flow in a fluidized bed by combining discrete particle method with computational fluid dynamics

Reference 12

Resolution: malformed identifier; doi_truncated, observed 2026-07-08T05:34:32.257727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 04e8509b-18ae-474b-bba5-0018fd2188ef · outbound

This paper cites Feasibility studies for the measurement of time-like proton electromagnetic form factors from $\bar{p}p \rightarrow \mu^+\mu^-$ at $\overline{\textrm{P}}\textrm{ANDA}$ at FAIR.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Feasibility studies for the measurement of time-like proton electromagnetic form factors from $\bar{p}p \rightarrow \mu^+\mu^-$ at $\overline{\textrm{P}}\textrm{ANDA}$ at FAIR

Reference 13

Resolution: metadata mismatch; local_arxiv, observed 2026-07-08T05:34:32.281264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4ae54708-347d-4413-9ba1-2065a05fa82a · outbound

This paper cites Proceedings of the National Academy of Sciences 17, 315–318.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Proceedings of the National Academy of Sciences 17, 315–318

Reference 14

Resolution: metadata mismatch; doi, observed 2026-07-08T05:34:32.275754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a253f589-b59d-4214-a7ee-4670f841f076 · outbound

This paper cites doi: 10.1017/S0022112009992059.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems doi: 10.1017/S0022112009992059

Reference 15

Resolution: metadata mismatch; doi, observed 2026-07-08T05:34:32.264444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation dadcd189-a608-46fc-a4c0-eb6328e7b644 · outbound

This paper cites A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 16

Resolution: metadata mismatch; doi, observed 2026-07-08T05:34:32.265434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e6c6e6cd-b64a-49a9-8379-23c8095d4091 · outbound

This paper cites and Brunton, Bingni W.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems and Brunton, Bingni W

Reference 17

Resolution: metadata mismatch; doi, observed 2026-07-08T05:34:32.273755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ed5e6d6b-58e9-406a-9045-fa78d55eb63d · outbound

This paper cites and Brunton, Steven L.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems and Brunton, Steven L

Reference 18

Resolution: metadata mismatch; doi, observed 2026-07-08T05:34:32.277489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 98168d94-e651-4ba8-9ca4-d2ec28176fea · outbound

This paper cites Linear predictors for nonlin- ear dynamical systems: Koopman operator meets model predictive control.Automatica, 93:149–160.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Linear predictors for nonlin- ear dynamical systems: Koopman operator meets model predictive control.Automatica, 93:149–160

Reference 19

Resolution: verified exact; doi, observed 2026-07-08T05:34:32.251228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 55205ea0-6681-4299-99fc-a3f71592ccfe · outbound

This paper cites Koopman-based lifting tech- niques for nonlinear systems identification.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Koopman-based lifting tech- niques for nonlinear systems identification

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-07-08T05:34:32.280472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a1cad195-5085-43fa-bcdb-f6f634ec57af · outbound

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

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Finite data error bounds for Koopman-based prediction and control,

Reference 21

Resolution: verified exact; doi, observed 2026-07-08T05:34:32.284081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2c4dbc45-f154-496e-92d1-3cb5561cbb96 · outbound

This paper cites Jean-Pierre Delmas.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Jean-Pierre Delmas

Reference 22

Resolution: metadata mismatch; doi, observed 2026-07-08T05:34:32.271775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2ff7eed6-6188-44b5-a0c7-44899eec8823 · outbound

This paper cites Formulas for data-driven control: Stabilization, optimality, and ro- bustness,.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Formulas for data-driven control: Stabilization, optimality, and ro- bustness,

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-07-08T05:34:32.269589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 20a372ee-48a3-4ad6-ba0e-a4889dda03e3 · outbound

This paper cites Müller, and Frank Allgöwer.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Müller, and Frank Allgöwer

Reference 24

Resolution: metadata mismatch; arxiv_id, observed 2026-07-08T05:34:32.272841Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cc24cfda-aa57-48d6-b598-569627646200 · outbound

This paper cites Gammerman, A.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems Gammerman, A

Reference 25

Resolution: verified exact; doi, observed 2026-07-08T05:34:32.278457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 66be2dfb-105c-47a6-8b37-1996f6b0a8c4 · outbound

This paper cites URL https://doi.org/10.1080/ 01621459.2017.1307116.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems URL https://doi.org/10.1080/ 01621459.2017.1307116

Reference 26

Resolution: metadata mismatch; arxiv_id, observed 2026-07-08T05:34:32.260610Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

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