Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T05:11:48.694792Z
Paper Citation Record · LEDGER
On phase in scaled graphs
As of 23 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 2 inbound Pith citation observations for arXiv:2504.21448.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-19T03:45:42.220147Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-19T03:47:01.702163Z
Reference resolution
26 of 26 outbound references displayed
- verified exact0
- verified fuzzy21
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e5d2c441-2e7b-40c3-9cf2-8b1c4dec6a15 · outbound
This paper cites Skogestad and I.
On phase in scaled graphs Skogestad and I
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.985108Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d141a17a-7b92-4254-a5e0-a79779271a43 · outbound
This paper cites an unresolved cited work.
On phase in scaled graphs Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T05:11:48.975217Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 99482aa0-a6b6-4ffc-92f2-0a0ccc052373 · outbound
This paper cites Scaled relative graphs: Non- expansive operators via 2D Euclidean geometry,.
On phase in scaled graphs Scaled relative graphs: Non- expansive operators via 2D Euclidean geometry,
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.965491Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0dff2cad-8646-4062-ae1b-c252a594e8eb · outbound
This paper cites Scaled relative g raphs for system analysis,.
On phase in scaled graphs Scaled relative g raphs for system analysis,
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.955577Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f07e2903-49f0-4cf6-ae97-af549639fe3e · outbound
This paper cites A rolled-off passivity theorem,.
On phase in scaled graphs A rolled-off passivity theorem,
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.945744Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 23eb788a-9e43-4f5f-aa9b-8bb05ac63732 · outbound
This paper cites Graphical Nonli near System Analysis,.
On phase in scaled graphs Graphical Nonli near System Analysis,
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.935017Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 746f074a-e239-4548-8f8c-393d02232282 · outbound
This paper cites Scaled graphs for reset control system analysis,.
On phase in scaled graphs Scaled graphs for reset control system analysis,
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.923854Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation bcd9f2c2-ea84-4077-9fb9-8261a18108e6 · outbound
This paper cites The Scaled Relative Graph of a Linear Operator.
On phase in scaled graphs The Scaled Relative Graph of a Linear Operator
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T05:11:48.625029Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 50baa2ba-c6d5-4125-916c-5120272945e1 · outbound
This paper cites van der Schaft, L2-Gain and Passivity Techniques in Non-linear Control, Springer, 2017.
On phase in scaled graphs van der Schaft, L2-Gain and Passivity Techniques in Non-linear Control, Springer, 2017
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.913201Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3b9b00dc-51f7-4553-816f-02c33a56a73d · outbound
This paper cites Wielandt, Topics in the Analytic Theory of Matrices.
On phase in scaled graphs Wielandt, Topics in the Analytic Theory of Matrices
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.903113Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c5187440-544e-4d69-b4c4-3511985707b6 · outbound
This paper cites Soft and hard scal ed relative graphs for nonlinear feedback stability.
On phase in scaled graphs Soft and hard scal ed relative graphs for nonlinear feedback stability
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.892176Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2c7f6b75-82f8-42ca-918f-139cbeee4dea · outbound
This paper cites On the input-output stability of time-varyi ng non-linear feedback systems Part one: Conditions derived using concep ts of loop gain, conicity, and positivity,.
On phase in scaled graphs On the input-output stability of time-varyi ng non-linear feedback systems Part one: Conditions derived using concep ts of loop gain, conicity, and positivity,
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.882094Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 90902ceb-a404-42f5-9f17-a4970428ecfe · outbound
This paper cites an unresolved cited work.
On phase in scaled graphs Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T05:11:48.871045Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 314be589-d36d-4963-b833-672dafd91139 · outbound
This paper cites Astrom and T.
On phase in scaled graphs Astrom and T
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.859871Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b7d46c69-1088-4683-aaec-17abc7418467 · outbound
This paper cites an unresolved cited work.
On phase in scaled graphs Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T05:11:48.849672Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 730f64ba-77e4-460d-9e62-1dfc5526473e · outbound
This paper cites Phase of Nonlinear Systems.
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T05:11:48.658708Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b5b71c9a-735f-4df5-90d7-bf791724d72f · outbound
This paper cites Khalil, Non-linear Systems (3rd ed.).
On phase in scaled graphs Khalil, Non-linear Systems (3rd ed.)
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.840303Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 57efbadc-f5ad-4671-8748-ada0c525a0f0 · outbound
This paper cites Extendi ng negative imaginary systems theory to nonlinear systems,.
On phase in scaled graphs Extendi ng negative imaginary systems theory to nonlinear systems,
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.830339Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 64b6060a-5622-4dd6-92b1-1bc6923a5ea1 · outbound
This paper cites Stability analysis of intercon nected systems with “mixed.
On phase in scaled graphs Stability analysis of intercon nected systems with “mixed
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.820743Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6e59de57-b1fe-4d41-85ef-76fffc0150ac · outbound
This paper cites Characterization of input- output neg- ative imaginary systems in a dissipative framework,.
On phase in scaled graphs Characterization of input- output neg- ative imaginary systems in a dissipative framework,
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.810783Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6c38ab74-d3f3-4dc0-92af-b7a695a85e17 · outbound
This paper cites A frequency-domain ap proach to nonlinear negative imaginary systems analysis,.
On phase in scaled graphs A frequency-domain ap proach to nonlinear negative imaginary systems analysis,
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.800409Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3b97d68a-6288-4f18-a940-21cd74a8ab1f · outbound
This paper cites Stability robustness of a feedback inter- connection of systems with negative imaginary frequency re sponse,.
On phase in scaled graphs Stability robustness of a feedback inter- connection of systems with negative imaginary frequency re sponse,
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.789907Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation db284b57-9ad0-4d46-b120-14592946375b · outbound
This paper cites System analysis via integ ral quadratic constraints,.
On phase in scaled graphs System analysis via integ ral quadratic constraints,
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.779316Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f8c1163a-756c-4af1-87f4-dc470ba90c6b · outbound
This paper cites On a larg e-gain theorem,.
On phase in scaled graphs On a larg e-gain theorem,
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.768269Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f62429bc-0259-46eb-8b6e-eee2e41ab9f3 · outbound
This paper cites On the input- output stability of nonlinear systems: Large gain theorem.
On phase in scaled graphs On the input- output stability of nonlinear systems: Large gain theorem
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.758014Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4135a80d-38e7-49bc-a829-c4170249c327 · outbound
This paper cites Freeman, ‘On the Role of Well-Posedness in Homotop y Methods for the Stability Analysis of non-linear Feedback Systems’ , In Lecture Notes in Control and Information Sciences, pp.
On phase in scaled graphs Freeman, ‘On the Role of Well-Posedness in Homotop y Methods for the Stability Analysis of non-linear Feedback Systems’ , In Lecture Notes in Control and Information Sciences, pp
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T05:11:48.745829Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
Observation e88db15f-7b54-4737-b730-220a6fd695c2 · 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 On phase in scaled graphs
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T03:47:01.705413Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 77b57148-4f1c-44b9-9477-84b4a1941e55 · inbound
Symmetry Is Almost All You Need: Robust Stability with Uncertainty Induced by Symmetric SRG Regions cites this paper.
Symmetry Is Almost All You Need: Robust Stability with Uncertainty Induced by Symmetric SRG Regions On phase in scaled graphs
Reference 26
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:35:34.330273Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.