Paper Citation Record · LEDGER

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups

As of 8 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2506.08530.

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

pith.paper-citation-record.v1
2506.08530 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:14:37.552056Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

38 of 38 outbound references displayed

verified exact0
verified fuzzy36
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b8872363-2fbf-4956-a7d2-9329bc8c8a94 · outbound

This paper cites Set membership state and parameter estimation for systems described by nonlinear differential equations,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Set membership state and parameter estimation for systems described by nonlinear differential equations,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.991790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation db650a88-1212-4dc3-bda0-20181a71eba7 · outbound

This paper cites Zonotopes and kalman observers: Gain optimality under distinct uncertainty paradigms and robust convergence,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Zonotopes and kalman observers: Gain optimality under distinct uncertainty paradigms and robust convergence,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T05:14:37.402964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 001dfea5-c078-40a6-b0f8-47ed65b6103b · outbound

This paper cites Stability of linear set-membership filters with respect to initial conditions: An observation-information perspective,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Stability of linear set-membership filters with respect to initial conditions: An observation-information perspective,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.973805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a21e9970-fa67-4b98-a307-52371e40fe01 · outbound

This paper cites A new approach to linear filtering and prediction problems,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups A new approach to linear filtering and prediction problems,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.961007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6998badd-75c9-4c42-bd43-0f6d261354a8 · outbound

This paper cites Rethinking the mathematical frame- work and optimality of set-membership filtering,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Rethinking the mathematical frame- work and optimality of set-membership filtering,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.950412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f6f94fc7-fc53-4fcc-bb64-3736cdf646f7 · outbound

This paper cites Single-beacon localization for mobile robot: A set membership filtering approach,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Single-beacon localization for mobile robot: A set membership filtering approach,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.939793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ad361b9f-0641-452b-8986-be07b54bd2d9 · outbound

This paper cites A zonotope-based interval estimation method for systems with nonlinear equality constraints,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups A zonotope-based interval estimation method for systems with nonlinear equality constraints,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.928753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 534fcbdb-4e96-4440-9b11-243404e0a097 · outbound

This paper cites Interval estimation methods for discrete-time linear time-invariant systems,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Interval estimation methods for discrete-time linear time-invariant systems,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.917894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 020aeff0-4c36-4db2-a135-fd9995c93eed · outbound

This paper cites Observer gain optimization for minimization of minimal robust positively invariant set and invariant set-based fault detection,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Observer gain optimization for minimization of minimal robust positively invariant set and invariant set-based fault detection,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.907600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0eb8b6f7-60c9-4bea-a519-c9fd37a7a84a · outbound

This paper cites Fault detection for satellite reaction wheel based on zonotopic set-membership estimation,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Fault detection for satellite reaction wheel based on zonotopic set-membership estimation,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.896630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 524d6b81-643c-4831-9b90-8b0c98d30cd0 · outbound

This paper cites Interval sliding mode observer based incipient sensor fault detection with application to a traction device in china railway high-speed,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Interval sliding mode observer based incipient sensor fault detection with application to a traction device in china railway high-speed,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.886229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fd254c92-ddf2-46eb-979c-81dea68a6751 · outbound

This paper cites Fault detection unknown input observer for local nonlinear fuzzy autonomous ground vehicles system based on a joint peak-to-peak analysis and zonotopic analysis threshold,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Fault detection unknown input observer for local nonlinear fuzzy autonomous ground vehicles system based on a joint peak-to-peak analysis and zonotopic analysis threshold,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.875836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dec075f7-0005-4341-91b0-a100bc5aa42a · outbound

This paper cites State and fault interval estimation for discrete-time takagi–sugeno fuzzy systems via intermediate observer base on zonotopic analysis,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups State and fault interval estimation for discrete-time takagi–sugeno fuzzy systems via intermediate observer base on zonotopic analysis,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.863853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ee4d26d8-fb1a-4256-ad21-5f4433a29806 · outbound

This paper cites Iterative inter- val estimation-based fault detection for discrete time t–s fuzzy systems,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Iterative inter- val estimation-based fault detection for discrete time t–s fuzzy systems,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.851220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 056941fa-b940-4bd3-ac3d-b5ea516efc53 · outbound

This paper cites Dynamic event-triggered fault detection via zonotopic residual evaluation and its application to vehicle lateral dynamics,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Dynamic event-triggered fault detection via zonotopic residual evaluation and its application to vehicle lateral dynamics,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.839527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 44220f51-8d3c-4014-bd5d-30229a2b6e44 · outbound

This paper cites A note on event- triggered functional interval observer design for uncertain systems,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups A note on event- triggered functional interval observer design for uncertain systems,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.828052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 427d7fc5-1179-413a-ae8e-97cefd855b1d · outbound

This paper cites Secure estimation, attack isolation, and reconstruction based on zonotopic unknown input observer,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Secure estimation, attack isolation, and reconstruction based on zonotopic unknown input observer,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.818559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dea629e5-84ff-40bf-84af-ba971a71f1b5 · outbound

This paper cites On invariant asymptotic observers,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups On invariant asymptotic observers,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.808006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bc0d2d7a-e454-4212-8a43-97ba7a607976 · outbound

This paper cites The invariant extended kalman filter as a stable observer,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups The invariant extended kalman filter as a stable observer,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.798002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 26eacf50-4d9a-44d7-bb5c-0a7e7bd0380f · outbound

This paper cites Left-invariant extended kalman filter and attitude estima- tion,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Left-invariant extended kalman filter and attitude estima- tion,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.787518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation eb3cce8e-e73f-41cb-aac7-1c55a177748c · outbound

This paper cites Invariant kalman filtering,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Invariant kalman filtering,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.776621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 15e3f3aa-137b-43e4-ae0f-fc6e6ce3394d · outbound

This paper cites Symmetry-preserving ob- servers,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Symmetry-preserving ob- servers,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.766308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 840cd68c-754a-481d-aaf8-ffa32bb46eb7 · outbound

This paper cites A new class of symmetry- preserving observers,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups A new class of symmetry- preserving observers,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.755470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 59410cf8-7c60-4c00-8b5a-54c32b2aa0b1 · outbound

This paper cites The geometry of navigation problems,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups The geometry of navigation problems,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.744088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7a834293-9d5b-4b5b-93b0-105b8f505fbc · outbound

This paper cites A nonlinear filter for pose estimation based on fast unscented transform on lie groups,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups A nonlinear filter for pose estimation based on fast unscented transform on lie groups,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.733378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8a1e0ca8-e625-413c-a1c3-cc9e0f48c053 · outbound

This paper cites Continuous- discrete extended kalman filter on matrix lie groups using concentrated gaussian distributions,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Continuous- discrete extended kalman filter on matrix lie groups using concentrated gaussian distributions,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.721337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a6d40754-dbf1-447e-bc23-ccdc5984c586 · outbound

This paper cites Improved kalman-particle kernel filter on lie groups applied to angles-only uav navigation,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Improved kalman-particle kernel filter on lie groups applied to angles-only uav navigation,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.710195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 133f35c1-e40b-45a9-ab90-252a78535309 · outbound

This paper cites Unscented kalman filtering on manifolds for auv navigation - experimental results,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Unscented kalman filtering on manifolds for auv navigation - experimental results,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.698860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 065b81a6-3b89-4750-9172-55cc4f9470a2 · outbound

This paper cites Convergence and consistency analysis for a 3-d invariant-ekf slam,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Convergence and consistency analysis for a 3-d invariant-ekf slam,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.687734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 085a5284-f40a-42da-8ef3-de99fa32dc09 · outbound

This paper cites Invariant extended kalman filtering for underwater navigation,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Invariant extended kalman filtering for underwater navigation,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.676173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f8ef1bde-fb64-437a-8aad-5b9536416e80 · outbound

This paper cites Contact- aided invariant extended kalman filtering for robot state estimation,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Contact- aided invariant extended kalman filtering for robot state estimation,

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T05:14:37.522695Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6bf57ed0-ab8a-4b04-a1f9-cddb32e88296 · outbound

This paper cites Laplace particle filter on lie groups applied to angles-only navigation,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Laplace particle filter on lie groups applied to angles-only navigation,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.656310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0c4b7cf7-35ad-4cf8-973c-53dc01f255a4 · outbound

This paper cites Unscented kalman filtering on lie groups,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Unscented kalman filtering on lie groups,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.644960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8b313512-2422-4b49-b043-9589fb29a214 · outbound

This paper cites Lie symmetries applied to interval integration,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Lie symmetries applied to interval integration,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.633356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2e9af1e9-5f19-4a8e-a98c-5fb8d15dde6f · outbound

This paper cites Set inversion and box contraction on lie groups using interval analysis,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Set inversion and box contraction on lie groups using interval analysis,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.621928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 598b0dfd-1889-4dc8-b127-fd16a9b3715f · outbound

This paper cites A lie group manifold- based nonlinear estimation algorithm and its application to low-accuracy sins/gnss integrated navigation,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups A lie group manifold- based nonlinear estimation algorithm and its application to low-accuracy sins/gnss integrated navigation,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.610987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b0b6ad97-b52c-4c5f-a3e5-ce5f408fd82b · outbound

This paper cites Linear observed systems on groups,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Linear observed systems on groups,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.599330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1691d9d4-320b-4be3-98b9-7abed58c82fa · outbound

This paper cites Set-membership estimation based on ellipsoid bundles for discrete-time lpv descriptor systems,.

The Invariant Zonotopic Set-Membership Filter for State Estimation on Groups Set-membership estimation based on ellipsoid bundles for discrete-time lpv descriptor systems,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:14:37.586632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

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