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Paper Citation Record · LEDGER

Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum

As of 9 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2604.04455.

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

pith.paper-citation-record.v1
2604.04455 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-21T10:13:12.814637Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-09T16:50:15.494425Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-09T16:56:21.681478Z

Reference resolution

13 of 13 outbound references displayed

  • verified exact4
  • verified fuzzy8
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e728a05e-30a6-4e37-8f4f-9fabc5b4fc00 · outbound

This paper cites an unresolved cited work.

Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-21T10:14:06.680983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:75b55db8ff8467c7c286bff23765ac2dfec5ce4076d08c59e276a7c712c6d70b

Observation 41b2b24f-d40f-473f-b6a8-da2cafb99e42 · outbound

This paper cites Analytic Estimation of Region of Attraction of an LQR Controller for Torque Limited Simple Pendulum.

Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum Analytic Estimation of Region of Attraction of an LQR Controller for Torque Limited Simple Pendulum

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-21T10:14:06.459270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:5a9b9d7a4e1710448d9070d704e5584ed2ad79023d0dd6529e71babc9cc342cd

Observation 6bd666fa-ce31-4add-a946-801e90822424 · outbound

This paper cites Estimate of the region of attraction of a Kapitza pendulum subject to an harmonic excitation and analysis of the pendulum behavior for a non harmonic excitation.

Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum Estimate of the region of attraction of a Kapitza pendulum subject to an harmonic excitation and analysis of the pendulum behavior for a non harmonic excitation

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:14:06.674416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:fc2891b9d252ec0c47aec126211362618de02dc7b06762b998b7fee2b32cd80e

Observation 82d6454b-a201-49b9-b0e6-7466a7d61613 · outbound

This paper cites Quantitative measure for nonlinear unstable systems based on the region of attraction and its application to designing parameter optimization – inverted pendulum example.

Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum Quantitative measure for nonlinear unstable systems based on the region of attraction and its application to designing parameter optimization – inverted pendulum example

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:14:06.669221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:f69a8cc550b5c306ced56bfffa426f704ddf41ef3111e83b0d87e96bf5b63cac

Observation 671010ef-eaac-4cb9-ab37-38f29d51b9bf · outbound

This paper cites Lyapunov-Based Con- troller for the Inverted Pendulum Cart System.

Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum Lyapunov-Based Con- troller for the Inverted Pendulum Cart System

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:14:06.686244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:eae174f9d9b5f49b69cc0f575623cccbd274e892ae41a195742f77d69302776f

Observation f71f5340-8b13-4e8a-811e-e6c10cd1cf90 · outbound

This paper cites Inner approximations of the region of attraction for polynomial dynamical systems.

Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum Inner approximations of the region of attraction for polynomial dynamical systems

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:14:06.675988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:8a3bc7d4cb7680d9026df1c6e93549b6d262e0e513cc5333b6e027f93c782236

Observation ede62082-d410-4c30-829e-502591c68318 · outbound

This paper cites Khattabi, M.

Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum Khattabi, M

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-21T10:14:06.462952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:a715cc4425415a57a1e0c5d027150987134ba44653cf90b23cfb6bbca4db2d41

Observation c654d080-8399-4ec6-9429-fd71b0d19a9d · outbound

This paper cites Safe learning of regions of attraction for uncertain, nonlinear systems with Gaussian processes.

Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum Safe learning of regions of attraction for uncertain, nonlinear systems with Gaussian processes

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:14:06.676438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:425410ac451304e1e22c513509201f82f18cf0ccf9aa5c6857529dfa61bac8e8

Observation ff48eed7-3c3f-4e2f-9195-96741bddff76 · outbound

This paper cites Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions.

Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum Estimation of Regions of Attraction for Nonlinear Systems via Coordinate-Transformed TS Models and Piecewise Quadratic Lyapunov Functions

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-21T10:14:06.466518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:246b445bfe6de8cb9fa662a1fb756abd7e67719f1447598cad83381ebcceafb4

Observation bbf0217a-38c0-414b-b296-eb1cb9fb8832 · outbound

This paper cites Synthesis and SOS-based Stability Verification of a Neural-Network-Based Controller for a Two-wheeled Inverted Pendulum.

Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum Synthesis and SOS-based Stability Verification of a Neural-Network-Based Controller for a Two-wheeled Inverted Pendulum

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-21T10:14:06.469943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:b34d7f2c2e80f9f379334653f2321ca7b9b3c274e89b49555acae10d1dee7242

Observation f31229a6-4764-41a4-ae2c-34c4da698fc7 · outbound

This paper cites Robust output feedback model predictive control of constrained linear systems.

Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum Robust output feedback model predictive control of constrained linear systems

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:14:06.683730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:8b8578ae55590f85bc069c70d28200d9165f572b5502887f799f40d6b757e4ab

Observation 305bc435-2c5d-4cf3-9e35-532f70c659af · outbound

This paper cites Comparative Analysis of Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum.

Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum Comparative Analysis of Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:14:06.678636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:d8d69b9cb1ae4384e85e61aca90ba20eeb21e2f75b6bc062890507356da07737

Observation 26f3b2d3-860d-49ff-8343-4d308c0cf553 · outbound

This paper cites Linear quadratic and model predictive control.

Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum Linear quadratic and model predictive control

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-21T10:14:06.668997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:044485d6fd41efe891a6000d7fcffe236e646d3f5b18627f8a2788520cc40178

Pith citing papers

Observation 8f6a65e5-a3e8-46dd-a5f6-bf401a4542fe · inbound

Implicit Predecessor-Based Region of Attraction Estimation and Robust Invariance Analysis for a Two-Wheeled Inverted Pendulum cites this paper.

Implicit Predecessor-Based Region of Attraction Estimation and Robust Invariance Analysis for a Two-Wheeled Inverted Pendulum Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-07-09T16:56:21.683766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-09T16:50:15.494425Z digest=sha256:4e0682365b9fe562fc2460b7e47a37e5477e9ce252c6f06a09166384423d6983