Paper Citation Record · LEDGER

A homotopy theorem for incremental stability

As of 14 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 3 inbound Pith citation observations for arXiv:2412.01580.

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

pith.paper-citation-record.v1
2412.01580 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T04:24:31.446603Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:26:56.866025Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T03:47:01.754483Z

Reference resolution

16 of 16 outbound references displayed

verified exact1
verified fuzzy4
unresolved5
parse uncertain0
malformed identifier4
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 675ec95d-d18b-46d7-baa1-d9cf4eb2139e · outbound

This paper cites Graphical Nonlinear System Analysis,.

A homotopy theorem for incremental stability Graphical Nonlinear System Analysis,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T04:24:31.395234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e5633e8-fc8a-48fe-b1eb-3af6ba8130ad · outbound

This paper cites On the input-output stability of time-varying nonlinear feedback systems, part one: Conditions derived using concepts of loop gain, conicity, and positivity,.

A homotopy theorem for incremental stability On the input-output stability of time-varying nonlinear feedback systems, part one: Conditions derived using concepts of loop gain, conicity, and positivity,

Reference 2

Resolution: malformed identifier; no resolver link, observed 2026-08-12T04:24:31.399201Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a53da2a-9beb-4b4a-9dda-419982c95128 · outbound

This paper cites System analysis via integral quadratic constraints,.

A homotopy theorem for incremental stability System analysis via integral quadratic constraints,

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T04:24:31.402830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8cccc29a-5b11-48ba-8c41-366305a37d91 · outbound

This paper cites System Analysis via Integral Quadratic Constraints Part II,.

A homotopy theorem for incremental stability System Analysis via Integral Quadratic Constraints Part II,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:24:31.951439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a66d7b03-4ffd-49bc-97ff-e5f114c13fbc · outbound

This paper cites Robustness analysis of nonlinear feedback systems: An input-output approach,.

A homotopy theorem for incremental stability Robustness analysis of nonlinear feedback systems: An input-output approach,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:24:31.941238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8a7c4b1b-897c-4ad8-8d48-fce8aefb2105 · outbound

This paper cites an unresolved cited work.

A homotopy theorem for incremental stability Unresolved cited work

Reference 6

Resolution: malformed identifier; doi_truncated, observed 2026-08-12T04:24:31.495335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f55ee4c4-ebad-4e1e-bc7d-2ab8989dd8c8 · outbound

This paper cites Scaled relative graphs: Non- expansive operators via 2D Euclidean geometry,.

A homotopy theorem for incremental stability Scaled relative graphs: Non- expansive operators via 2D Euclidean geometry,

Reference 7

Resolution: verified exact; doi, observed 2026-08-12T04:24:31.484682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation de8e7d77-8c4f-40f6-a1bd-e9f810bcf832 · outbound

This paper cites On the Scaled Relative Graph Separation for Feedback Incremental Stability,.

A homotopy theorem for incremental stability On the Scaled Relative Graph Separation for Feedback Incremental Stability,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:24:31.930729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c9dc14c1-efb3-4c90-8db3-5246b0081294 · outbound

This paper cites Linear Matrix Inequalities in Control,.

A homotopy theorem for incremental stability Linear Matrix Inequalities in Control,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T04:24:31.920609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bdcd73fc-31cc-4571-b1a8-54f32ac21dc9 · outbound

This paper cites Robust contraction analysis of nonlinear systems via differential IQC,.

A homotopy theorem for incremental stability Robust contraction analysis of nonlinear systems via differential IQC,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T04:24:31.428052Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a129bd8-2fd6-4778-825c-017a43766155 · outbound

This paper cites A semi-infinite optimization problem in harmonic analysis of uncertain systems,.

A homotopy theorem for incremental stability A semi-infinite optimization problem in harmonic analysis of uncertain systems,

Reference 11

Resolution: metadata mismatch; raw_fallback, observed 2026-08-12T04:24:31.710444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3c4462e8-98d6-4211-a444-406f2b25a692 · outbound

This paper cites Integral Quadratic Constraints for Neural Networks,.

A homotopy theorem for incremental stability Integral Quadratic Constraints for Neural Networks,

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T04:24:31.434500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f7827b9-8604-4f46-befb-b58b21addf36 · outbound

This paper cites Kernel-Based Models for System Analysis,.

A homotopy theorem for incremental stability Kernel-Based Models for System Analysis,

Reference 13

Resolution: metadata mismatch; raw_fallback, observed 2026-08-12T04:24:31.580961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 88f54986-5566-4439-ad27-449312a86fc5 · outbound

This paper cites On the Role of Well-Posedness in Homotopy Methods for the Stability Analysis of Nonlinear Feedback Systems,.

A homotopy theorem for incremental stability On the Role of Well-Posedness in Homotopy Methods for the Stability Analysis of Nonlinear Feedback Systems,

Reference 14

Resolution: malformed identifier; no resolver link, observed 2026-08-12T04:24:31.440592Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d249c80b-1055-4cd0-a4b7-b294e21dff33 · outbound

This paper cites A link between input-output stability and Lyapunov stability,.

A homotopy theorem for incremental stability A link between input-output stability and Lyapunov stability,

Reference 15

Resolution: malformed identifier; raw_fallback, observed 2026-08-12T04:24:31.909736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fe8a70b4-2d0e-4bb0-a33d-2df3a99e71d7 · outbound

This paper cites The Scaled Relative Graph of a Linear Operator.

A homotopy theorem for incremental stability The Scaled Relative Graph of a Linear Operator

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T04:24:31.446603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation b87fa638-c662-40a3-90e9-c4bc62f618eb · inbound

Scaled Relative Graph Analysis of Lur'e Systems and the Generalized Circle Criterion cites this paper.

Scaled Relative Graph Analysis of Lur'e Systems and the Generalized Circle Criterion A homotopy theorem for incremental stability

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T11:26:56.866025Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86c9cf8c-fb12-428a-b3cd-92a2573b518f · inbound

Scaled Relative Graph Analysis of General Interconnections of SISO Nonlinear Systems cites this paper.

Scaled Relative Graph Analysis of General Interconnections of SISO Nonlinear Systems A homotopy theorem for incremental stability

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T15:40:26.506706Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e8e9fa9-70f6-442d-8b47-ba3941772269 · inbound

Analysis of Non-Square Nonlinear MIMO Systems using Scaled Relative Graphs cites this paper.

Analysis of Non-Square Nonlinear MIMO Systems using Scaled Relative Graphs A homotopy theorem for incremental stability

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-19T03:47:01.756925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.