Paper Citation Record · LEDGER

Koopman Operator for Stability Analysis: Theory with a Linear--Radial Product Reproducing Kernel

As of 21 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 4 inbound Pith citation observations for arXiv:2511.06063.

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

pith.paper-citation-record.v1
2511.06063 v2

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T23:28:49.160334Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:52:40.203407Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T06:17:42.553484Z

Reference resolution

7 of 7 outbound references displayed

verified exact0
verified fuzzy0
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0da97f87-f711-4cf7-89cb-4c593644e72a · outbound

This paper cites Unifying HJB and Riccati equations: A Koopman operator approach to nonlinear optimal control.arXiv preprint arXiv:2509.20122,.

Koopman Operator for Stability Analysis: Theory with a Linear--Radial Product Reproducing Kernel Unifying HJB and Riccati equations: A Koopman operator approach to nonlinear optimal control.arXiv preprint arXiv:2509.20122,

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T23:28:48.619559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1164608f-f9b2-49fe-93bf-d665049b60f2 · outbound

This paper cites an unresolved cited work.

Koopman Operator for Stability Analysis: Theory with a Linear--Radial Product Reproducing Kernel Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T23:28:49.160334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 558e5aab-695e-4a94-acd2-ed294b720cc2 · outbound

This paper cites Ergodic theory, dynamic mode decomposition, and computation of spectral properties of the koopman operator.SIAM J.

Koopman Operator for Stability Analysis: Theory with a Linear--Radial Product Reproducing Kernel Ergodic theory, dynamic mode decomposition, and computation of spectral properties of the koopman operator.SIAM J

Reference 2006

Resolution: unresolved; no resolver link, observed 2026-08-03T23:28:48.409985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6eca2492-133a-464c-bd00-19595e522b38 · outbound

This paper cites Spectrum of the Koopman operator, spectral expansions in functional spaces, and state- space geometry.J.

Koopman Operator for Stability Analysis: Theory with a Linear--Radial Product Reproducing Kernel Spectrum of the Koopman operator, spectral expansions in functional spaces, and state- space geometry.J

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-03T23:28:48.911839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba3d68e6-009b-4eb6-8fba-98ea4a8a9153 · outbound

This paper cites Two roads to koopman operator theory for control: Infinite input sequences and operator families.arXiv preprint arXiv:2510.15166,.

Koopman Operator for Stability Analysis: Theory with a Linear--Radial Product Reproducing Kernel Two roads to koopman operator theory for control: Infinite input sequences and operator families.arXiv preprint arXiv:2510.15166,

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-03T23:28:48.776376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42c4da99-14bc-4416-8ec7-2574a6552dfe · outbound

This paper cites Nonparametric Control Koopman Operators.

Koopman Operator for Stability Analysis: Theory with a Linear--Radial Product Reproducing Kernel Nonparametric Control Koopman Operators

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-03T23:28:48.518131Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13a0e3e9-267e-49ec-9c01-560780e6355b · outbound

This paper cites Koopman--Nemytskii Operator of Nonlinear Controlled Systems and Its Learning for Controller Synthesis.

Koopman Operator for Stability Analysis: Theory with a Linear--Radial Product Reproducing Kernel Koopman--Nemytskii Operator of Nonlinear Controlled Systems and Its Learning for Controller Synthesis

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-03T23:28:49.006363Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation ccbc38b7-585a-4c19-ad0f-29ce7afd8f9f · inbound

Convex Hybrid Modeling: An Operator-Based Approach cites this paper.

Convex Hybrid Modeling: An Operator-Based Approach Koopman Operator for Stability Analysis: Theory with a Linear--Radial Product Reproducing Kernel

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-28T03:23:22.153757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 244dbf71-f3c1-4ee9-91a6-4be6c3dd7341 · inbound

A constrained symbolic regression approach for Lyapunov function discovery cites this paper.

A constrained symbolic regression approach for Lyapunov function discovery Koopman Operator for Stability Analysis: Theory with a Linear--Radial Product Reproducing Kernel

Reference 35

Resolution: verified exact; arxiv_id, observed 2026-07-28T03:23:22.153757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ccc5d19e-5689-4498-b137-ba41080cfe2b · inbound

Koopman Modeling and Stabilization of Discrete-Time Nonlinear Control Systems: Bilinearity on a Reproducing Kernel Hilbert Space cites this paper.

Koopman Modeling and Stabilization of Discrete-Time Nonlinear Control Systems: Bilinearity on a Reproducing Kernel Hilbert Space Koopman Operator for Stability Analysis: Theory with a Linear--Radial Product Reproducing Kernel

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-28T03:23:22.153757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 567d544e-03f1-41b8-baea-ac2b64e3124d · inbound

Data-Driven Domain of Attraction Estimation via Convergent Koopman-Zubov Approximation cites this paper.

Data-Driven Domain of Attraction Estimation via Convergent Koopman-Zubov Approximation Koopman Operator for Stability Analysis: Theory with a Linear--Radial Product Reproducing Kernel

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T00:52:40.203407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.