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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 21 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:6be30a8130ca64f9fbf44234b9e1b09f9508b8b5a961807109801750547db1be

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:8949d9136df6fca58fa1bd6564db5ac040509cee6452a6b120a5e16b90a43d7a

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:5e16a6ef5966842dbb5d6f5437fbf2e1c9c8191e6e59c495c6ff0ff778d1609c

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:c1f575864b7c9238d92b831451a9afae7f1de8c69bae2bfd53c734be8639e472

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:d20802be8666384dd0cc5e8a7686bdc3c41d04d2d88d65d818c1963fe9aabf56

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:6a9867bcd8aa07e7a69b2b504b771eedd126a580fae73f50f3e07c1f460d2808

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:5b57c9cce7d1f6e8d29ac717ab862f2329938f08644a7dc209440d6e1372a257

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:f952a5ee6a0ba388b95f1a908dc6ccdba4f40aaee892430aef3a4dd9e0addf9e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:e6dd425f79ddd51a92938d669eda0229f6067664fc02694904a6a9dd7123d156

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:c654ce017b3a24a9261856501e13495b0a608be4da208d1f3d5819044fab4f92

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:f4bbb887caccd6dc59820c8240166975da5147e231e5f2136d256adb5a65b62e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:208a664f5426ed5af07e1713d5be87c9b6fc41711f7fc70d617bf6191c111c53

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:ba7746e3674b52f92c28e07ce590ea09289bfd51c33d283c68921843866b30dd

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-09T16:50:15.494425Z digest=sha256:658547eeaf56a31380420ad8b1cac1e3982251ef6e2542c68918e35a36412ba8