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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 10 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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:2f3bd90d53dd1c2631980dd160da23e98192aeed53edb5e9d26e7fb8ddc3e42a

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:3f596dc90b9231a05b3b5134b5529e67ec978b68d8f18ca2d891378107612d2b

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:f6861abc8851d063d666d33cba17a8eb10d3dde5eacf0265333b12a4a0ca160a

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:6b3feb50bac1fc1122d20b7231327b08a7cbd423ea55530cc14f7ca67e937a34

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:efe289b89ec5f2ad921b80df0aa1fe58b55ca48fce1c0e7a88ec1fd9cb0a8745

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:5a91c5aae767702568f83528d2999148525f905344ed71ee78362f47f4bed964

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:82530a2cac0ef147e15768290ff8c4b0c88916db7322479d32a7c1ee1f247077

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:994924a9d3da59152caa5447f153bad4407751cc9a71cf06dd91c7e0acd4d338

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:63799dbdc9a58c5a016bdc5438e7078f880ff6b6bca61f0d0d93bb885d84c3c4

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:682cb5c9626d33cb18b29cc5c195a33eb78cbb8e5bcbc87ca1ab356c996df75d

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:92a377ae268666f7b4358a4bfd9242ce241f349f66fb4983a1209d0788eb9b33

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:df0f1b92258ca31ab75925a84af2b214ec5abe6ef2c62e9b4b59b3072e589134

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T10:13:12.814637Z digest=sha256:4967332c3beb7ee06be26048de859ebb0f2a5cfa5857e91f28db34879b29e0fd

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-09T16:50:15.494425Z digest=sha256:f287e184dcb7e1fd4342e162a8cf5602498a9cc8d168d235acb376d52f7275c7