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Paper Citation Record · LEDGER

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems

As of 19 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2509.04220.

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

pith.paper-citation-record.v1
2509.04220 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:28:42.602988Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

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

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

  • verified exact1
  • verified fuzzy28
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8b749c33-363e-42f0-8a88-526b5d7abfde · outbound

This paper cites Control barrier function based quadratic programs for safety critical systems,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Control barrier function based quadratic programs for safety critical systems,

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 63868256-58b7-4c68-bee4-1be54d4c6030 · outbound

This paper cites Borelli, A.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Borelli, A

Reference 2

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raw_fallback, observed 2026-08-05T10:28:49.900528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 856bfb81-c9f3-4cbd-b8eb-29ba3f2b873a · outbound

This paper cites Reference and command governors for systems with constraints: A survey on theory and applications,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Reference and command governors for systems with constraints: A survey on theory and applications,

Reference 3

Resolution
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raw_fallback, observed 2026-08-05T10:28:49.808932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation f756c559-fc6c-4636-ad6b-df58da2f53ec · outbound

This paper cites Hamilton-Jacobi reachability: A brief overview and recent advances,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Hamilton-Jacobi reachability: A brief overview and recent advances,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:28:49.583088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 3d485845-a473-4d89-83bd-346d6e38f472 · outbound

This paper cites Data-driven safety filters: Hamilton-Jacobi reachability, control barrier functions, and predictive methods for uncertain systems,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Data-driven safety filters: Hamilton-Jacobi reachability, control barrier functions, and predictive methods for uncertain systems,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:28:49.368601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 5f6f5cbb-9809-444a-b3b6-adf7d6e237ed · outbound

This paper cites The safety filter: A unified view of safety-critical control in autonomous systems,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems The safety filter: A unified view of safety-critical control in autonomous systems,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:28:49.130209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:40.018897Z digest=sha256:0f3f775629734bbd75fb2ffee724896fb7611f72215cdba93216925239c35488

Observation 5489d246-fcbb-44dc-b56d-10e7f54374ea · outbound

This paper cites Towards a framework for realizable safety critical control through active set invariance,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Towards a framework for realizable safety critical control through active set invariance,

Reference 7

Resolution
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raw_fallback, observed 2026-08-05T10:28:48.854290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:40.219027Z digest=sha256:e507b2c2de8a5b8216edc6eab603bad14a99c9cf525bcea4bfe857b43fbe0485

Observation de175838-4f0e-4578-aabc-2c6d1937a08d · outbound

This paper cites Safety barrier certificates for collisions-free multirobot systems,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Safety barrier certificates for collisions-free multirobot systems,

Reference 8

Resolution
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raw_fallback, observed 2026-08-05T10:28:48.659795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:40.411909Z digest=sha256:3015bc8b7c0f6ddc5bcf83f1c75fb01c3616b5cdabd0139366e40f7344e33ff6

Observation ac8aceab-3172-45f9-91bd-28c7c0f2bceb · outbound

This paper cites Nonsmooth barrier func- tions with applications to multi-robot systems,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Nonsmooth barrier func- tions with applications to multi-robot systems,

Reference 9

Resolution
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raw_fallback, observed 2026-08-05T10:28:48.315470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:40.613069Z digest=sha256:031606d737f5799693dde81c1a8e5ac1453951696b67991efab95b845c1b7da7

Observation b253541b-72e5-46ae-9df1-424e5e4d84c1 · outbound

This paper cites Control barrier functions for signal temporal logic tasks,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Control barrier functions for signal temporal logic tasks,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:28:47.971919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:40.791932Z digest=sha256:cfd758c57553123bfac0ad0a26dd6602d041a866d8322d1912866acd9ffeacac

Observation 50563427-3eab-40cf-9646-43e2ee07b074 · outbound

This paper cites Composing control barrier functions for complex safety specifications,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Composing control barrier functions for complex safety specifications,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:28:47.693796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:40.920285Z digest=sha256:77ad97f5df6134eef28596bd1553a74732659fb886a896305befaccb5c4eb7a7

Observation b5666f76-916f-4047-8beb-4d880a7ceffc · outbound

This paper cites Adaptation for validation of consolidated control barrier functions,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Adaptation for validation of consolidated control barrier functions,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:28:47.428183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:41.061154Z digest=sha256:31d9914706e04f9962322e263071ab62a1f8b7871ac397b76591b32f2e072756

Observation b73490fe-8bb1-438d-a001-d3589c77ba8a · outbound

This paper cites Constrained control of input–output linearizable systems using control sharing barrier functions,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Constrained control of input–output linearizable systems using control sharing barrier functions,

Reference 13

Resolution
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raw_fallback, observed 2026-08-05T10:28:47.197451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:41.195982Z digest=sha256:ce3af56711cc9071c7ef619e3a02e6a136d3038aa73d9ca13c0d26efed1076c3

Observation 5e277c29-73ed-4834-a0b0-ecbecd470da2 · outbound

This paper cites A robust, multiple control barrier function framework for input constrained systems,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems A robust, multiple control barrier function framework for input constrained systems,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:28:46.978897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation b1907351-4352-48b1-bc05-aa8180dbb242 · outbound

This paper cites Servo-controllers for linear time- invariant systems with operational constraints,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Servo-controllers for linear time- invariant systems with operational constraints,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:28:46.770889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:41.367697Z digest=sha256:d7e2a7c6696a6b4e9aa59f96e80c5a543ec9196db620ba11035e730a577f56af

Observation dc3e1b99-80b4-4756-a539-721fda15777a · outbound

This paper cites Safe-by-design control for Euler–Lagrange systems,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Safe-by-design control for Euler–Lagrange systems,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:28:46.587371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation eb9d4cdb-a90f-401f-9861-eedb915491d6 · outbound

This paper cites Compatibility checking of multiple control barrier functions for input constrained systems,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Compatibility checking of multiple control barrier functions for input constrained systems,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:28:46.333176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:41.565068Z digest=sha256:cb1bb4ae78f54ed32878a1f0f362cee6d2c6966afc4b91a4a9ccd191281ee9bb

Observation ab5a8920-7c72-44e0-b3b9-10904c736131 · outbound

This paper cites Compositions of multiple control barrier functions under input constraints,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Compositions of multiple control barrier functions under input constraints,

Reference 18

Resolution
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raw_fallback, observed 2026-08-05T10:28:46.113335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:41.695417Z digest=sha256:f15dc118c23c5a7566349deaf634b97cf295f52e8f7e06bf71bec29f0bc42de8

Observation 8270d892-1e4c-4fce-8313-59af4ca15471 · outbound

This paper cites On the feasibility and continuity of feedback controllers defined by multiple control barrier functions,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems On the feasibility and continuity of feedback controllers defined by multiple control barrier functions,

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:28:45.966271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:41.841524Z digest=sha256:7cda2e6a8b5060f3435431edd97e9290aca8199ed4a621ca1c9c46b4080956ef

Observation edeab966-1b08-4fdc-94e9-893744be050e · outbound

This paper cites Isidori, Nonlinear Control Systems.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Isidori, Nonlinear Control Systems

Reference 20

Resolution
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raw_fallback, observed 2026-08-05T10:28:45.783183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:41.890462Z digest=sha256:3de67f879eeb80d0eef68f5cb309abbd99d6444ed2b836002b6da2f110e1a268

Observation 6cd3012e-b61c-45e4-9c82-7307240810a3 · outbound

This paper cites Robust control barrier functions for constrained sta- bilization of nonlinear systems,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Robust control barrier functions for constrained sta- bilization of nonlinear systems,

Reference 21

Resolution
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raw_fallback, observed 2026-08-05T10:28:45.568744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:41.962604Z digest=sha256:97b1cb967b5b3989aea57e28d85b7881a9373c18c5fad0de78bcf7733267dddd

Observation bb08de20-4e3a-414a-b708-12e9ffdaf723 · outbound

This paper cites Exponential control barrier functions for enforcing high relative-degree safety-critical constraints,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Exponential control barrier functions for enforcing high relative-degree safety-critical constraints,

Reference 22

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raw_fallback, observed 2026-08-05T10:28:45.347637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:42.027486Z digest=sha256:3fce2739c28a54612ffec77c0f7ac46fee3467e8d1fb9e853d74b5620db24f8e

Observation 29965fae-6bea-4857-8eeb-afb04b4cacf0 · outbound

This paper cites an unresolved cited work.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Unresolved cited work

Reference 23

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raw_fallback, observed 2026-08-05T10:28:45.012945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:42.079418Z digest=sha256:ece64eb66aabd6e40aabb5d9cdbe240f54c33f1e8c2b40dd6a9a5acece12602f

Observation ccebd132-1d60-49ff-9bb7-db048f83df04 · outbound

This paper cites Lipschitz continuity of constrained processes,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Lipschitz continuity of constrained processes,

Reference 24

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verified fuzzy
raw_fallback, observed 2026-08-05T10:28:44.738924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:42.146677Z digest=sha256:046f3e95eecbb08f478d8b56646e2c2297f3a7cfae6e4f30a94759df367e5f3b

Observation 9f541645-8597-47ad-9d57-50560eb0002c · outbound

This paper cites Safe and robust observer-controller synthesis using control barrier functions,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Safe and robust observer-controller synthesis using control barrier functions,

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:28:44.413726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:42.215974Z digest=sha256:3c11029f0c96fd6aa3e2ecd163d86917d0ddea9d5e7061b14bf3f2f10dbf298c

Observation 6f0031d3-4fde-4abd-b24d-1ac2bc4dfe8f · outbound

This paper cites Blanchini and S.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Blanchini and S

Reference 26

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verified fuzzy
raw_fallback, observed 2026-08-05T10:28:44.201070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:42.287165Z digest=sha256:6979e7fac135c7aeb386d4d732f87130e7b00816a1760a3b49959a10e11bb7c5

Observation a4f77d87-b098-4221-9324-b62688a3c40a · outbound

This paper cites Boyd and L.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Boyd and L

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-05T10:28:42.341057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:28:42.341057Z digest=sha256:bb8f9c9865fde36a2c224d6ed5407fe2d1cdacc6184627dd314cfc3e2b49de22

Observation 424e6640-0ef3-41f9-a1be-29ce9645d3ae · outbound

This paper cites an unresolved cited work.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-05T10:28:43.966494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:42.404434Z digest=sha256:22b95633c951daac0119d895dcc1486972b2542ead7e20fe9e767bb76c307622

Observation 9e1c596f-fad5-48fc-bcfb-682babf8a0e0 · outbound

This paper cites Safety-critical control for autonomous systems: Control barrier functions via reduced order models,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Safety-critical control for autonomous systems: Control barrier functions via reduced order models,

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:28:43.632518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:42.462270Z digest=sha256:014cd11b8c4433ad01ecf4105c333fe904ab23933f514c7e3a06bc8b9117023b

Observation 67e34334-5f4a-46aa-9a5d-9ce23f90e0be · outbound

This paper cites Safety-critical controller synthesis with reduced-order models,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Safety-critical controller synthesis with reduced-order models,

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:28:43.351719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:42.533505Z digest=sha256:8baa4778c25f2772f4929791b2adbb8976ae7a7d386b997680c609a437fe4d19

Observation 01e1814f-f66a-451d-af84-eb9ca1fad0b0 · outbound

This paper cites Minimum snap trajectory generation and control for quadrotors,.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Minimum snap trajectory generation and control for quadrotors,

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T10:28:43.153314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:42.583768Z digest=sha256:32c4bed3512872abe19a6e74d3c757af76a7d132821f9032b1c4f57690e4d352

Observation e84539a9-47e2-4375-a0e8-4c10c286ce89 · outbound

This paper cites Control Barrier Function Synthesis for Nonlinear Systems with Dual Relative Degree.

Compatibility of Multiple Control Barrier Functions for Constrained Nonlinear Systems Control Barrier Function Synthesis for Nonlinear Systems with Dual Relative Degree

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-08-05T10:28:42.841556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-05T10:28:42.602988Z digest=sha256:1a218f7fb3616ad10ab0d8fdceccc977b65702c638c9d2bf8da2be13b6f222d0

Pith citing papers

No inbound Pith citation observations are available.