Paper Citation Record · LEDGER

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles

As of 18 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 6 inbound Pith citation observations for arXiv:2501.09289.

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

pith.paper-citation-record.v1
2501.09289 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:15:41.222932Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:34:51.794772Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-16T23:01:20.982657Z

Reference resolution

28 of 28 outbound references displayed

verified exact1
verified fuzzy26
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dac824c3-a3a0-406e-8743-7a30475fc272 · outbound

This paper cites In: IEEE Conf.

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles In: IEEE Conf

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.593827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2bffefae-fb6f-40dc-bf11-b22e6b52b606 · outbound

This paper cites IF AC Proceedings Volumes40(12), 462–467 (2007).

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles IF AC Proceedings Volumes40(12), 462–467 (2007)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.582201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cd2a9131-a046-4697-b8f5-084e8d35d1b6 · outbound

This paper cites In: European Control Conference, Naples, Italy, pp.

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles In: European Control Conference, Naples, Italy, pp

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.570673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d52fdbbb-95b9-415e-9243-134310dab2bf · outbound

This paper cites Synthesis Lectures on Computer Science.

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles Synthesis Lectures on Computer Science

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.559225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6b395311-4d5e-4e8a-8a2c-a78f86b3c6ae · outbound

This paper cites IEEE Control Systems Letters 5(2), 731–736 (2021).

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles IEEE Control Systems Letters 5(2), 731–736 (2021)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.549057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d4bfefa8-58f5-44a6-aa8e-b5f2e09fa2e1 · outbound

This paper cites Automatica 159, 111359 (2024).

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles Automatica 159, 111359 (2024)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.537770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1dcc2cc3-381b-4f1d-aac1-f81a1160633c · outbound

This paper cites IEEE Control Systems Letters 7, 367–372 (2023).

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles IEEE Control Systems Letters 7, 367–372 (2023)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.526696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d46fe634-4bf3-4057-b494-8b7f8c8a579f · outbound

This paper cites IEEE Control Systems Letters 7, 895–900 (2023).

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles IEEE Control Systems Letters 7, 895–900 (2023)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.515188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ee8d4d93-783c-4726-8c46-9aa1fef74edd · outbound

This paper cites IEEE Control Systems Letters 6, 1136–1141 (2022).

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles IEEE Control Systems Letters 6, 1136–1141 (2022)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.503687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 189ece89-1846-4172-9c83-3ed1ab87a564 · outbound

This paper cites Texts in Applied Mathematics, vol.

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles Texts in Applied Mathematics, vol

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.491866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bca7ad17-4c70-4e20-ad74-c2275db5cd9b · outbound

This paper cites IEEE Transactions on Automatic Control 62(8), 3861–3876 (2017).

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles IEEE Transactions on Automatic Control 62(8), 3861–3876 (2017)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.480314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 90b64392-214e-4150-b4dd-12e40537dadd · outbound

This paper cites Automatica 96, 359–367 (2018).

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles Automatica 96, 359–367 (2018)

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.468399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5f0f63af-9f86-4313-a3ef-a6c80df71faa · outbound

This paper cites In: IEEE Conf.

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles In: IEEE Conf

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.455826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation fcfe26f9-96ab-4175-80c9-5d906f1442e5 · outbound

This paper cites In: IEEE Conf.

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles In: IEEE Conf

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.444353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f0dbc2ba-bfcb-448a-88d3-6aa9c9c8c2a0 · outbound

This paper cites IEEE Transactions on Robotics 33(3), 661–674 (2017).

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles IEEE Transactions on Robotics 33(3), 661–674 (2017)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.432189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2f7bb066-b632-48e1-ae0b-a9dc3ce0a471 · outbound

This paper cites IEEE Transactions on Automatic Control 67(9), 7706–7712 (2022).

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles IEEE Transactions on Automatic Control 67(9), 7706–7712 (2022)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.419283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0da2251d-b2e1-4683-8146-186189fb0093 · outbound

This paper cites Automatica (2024).

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles Automatica (2024)

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.405588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bc3cb2e5-e81f-4433-b56f-91637c9c5cfa · outbound

This paper cites Texts in Applied Mathematics, vol.

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles Texts in Applied Mathematics, vol

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.393144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 38cecff8-6ab1-4a13-95f1-5dfad5ebda28 · outbound

This paper cites IEEE Transactions on Automatic Control 70(6) (2025).

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles IEEE Transactions on Automatic Control 70(6) (2025)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.379746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ccf56157-2dfc-4a32-9cbb-bc015906ce44 · outbound

This paper cites Prentice Hall, Englewood Cliffs, NJ (2002).

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles Prentice Hall, Englewood Cliffs, NJ (2002)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.366817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 35ec920e-42c8-42ca-a90d-4e48221e6249 · outbound

This paper cites Society for Industrial and Applied Mathematics, Philadelphia, PA (2007).

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles Society for Industrial and Applied Mathematics, Philadelphia, PA (2007)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.355135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 719f2bed-61bf-47a3-b31a-6af7d826e8fb · outbound

This paper cites Classics in Applied Mathematics, vol.

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles Classics in Applied Mathematics, vol

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.342224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9ff3fbdd-16ab-42b6-af33-a55f55490cc4 · outbound

This paper cites SIAM Journal on Control and Optimization 42(5), 1745–1775 (2003) 35.

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles SIAM Journal on Control and Optimization 42(5), 1745–1775 (2003) 35

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.329997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 92962f81-2ffc-4109-a23e-0fd62d06adaf · outbound

This paper cites Independence of Closed-Loop Equilibria and Stability from the Choice of Control Barrier Function for a Given Safe Set.

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles Independence of Closed-Loop Equilibria and Stability from the Choice of Control Barrier Function for a Given Safe Set

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:15:41.262558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 05cc28de-ac0e-4766-95c0-060167384901 · outbound

This paper cites In: IEEE Int.

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles In: IEEE Int

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.317374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 10e7ff74-05c9-42ca-a0d6-7d59b60914ef · outbound

This paper cites Mathematische Annalen 46(1), 273–284 (1895).

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles Mathematische Annalen 46(1), 273–284 (1895)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.304064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1b3c44db-338e-41f7-b4f2-2db787c247ad · outbound

This paper cites an unresolved cited work.

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:15:41.290413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e86c6fd3-b509-454c-bba0-e9b0e7ab883a · outbound

This paper cites highly distinct.

Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles highly distinct

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:15:41.275557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

Observation 10eef7ff-d23a-4a29-9527-d7c19e4e6600 · inbound

When are safety filters safe? On minimum phase conditions of control barrier functions cites this paper.

When are safety filters safe? On minimum phase conditions of control barrier functions Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-05T21:59:09.770074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7962198b-1540-4e56-b522-12486cceb1b7 · inbound

Geometry-Aware Predictive Safety Filters on Humanoids: From Poisson Safety Functions to CBF Constrained MPC cites this paper.

Geometry-Aware Predictive Safety Filters on Humanoids: From Poisson Safety Functions to CBF Constrained MPC Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T17:34:51.794772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fb07f3c-55b8-4497-8def-d7ed51fb8dc7 · inbound

Explicit Control Barrier Function-based Safety Filters and their Resource-Aware Computation cites this paper.

Explicit Control Barrier Function-based Safety Filters and their Resource-Aware Computation Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-05-16T23:01:20.984776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7bb9dd3a-eab6-4b81-a356-52850db5877b · inbound

Finite Boundary-Layer Residence Certificates for Non-Strict Control Barrier Functions cites this paper.

Finite Boundary-Layer Residence Certificates for Non-Strict Control Barrier Functions Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-13T23:59:08.947425Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f9c119b-aa6c-4a81-af17-7d48e18e1aa8 · inbound

Dynamical Properties of Safety Filters for Linear Systems and Affine Control Barrier Functions cites this paper.

Dynamical Properties of Safety Filters for Linear Systems and Affine Control Barrier Functions Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T18:09:45.348233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ce0f0cf-54dc-4c22-a926-ce6c9d69ffbc · inbound

Verifiable Model-Free Safety Filters via Reinforcement Learning cites this paper.

Verifiable Model-Free Safety Filters via Reinforcement Learning Control Barrier Function-Based Safety Filters: Characterization of Undesired Equilibria, Unbounded Trajectories, and Limit Cycles

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-11T20:36:08.265497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.