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Record W2149487637 · doi:10.1109/iros.1991.174673

Stability of non-holonomic systems

2002· article· en· W2149487637 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldEngineering
TopicControl and Dynamics of Mobile Robots
Canadian institutionsUniversity of Toronto
FundersRitsumeikan UniversityDe La Salle University
KeywordsManifold (fluid mechanics)HolonomicEquilibrium pointLyapunov functionCenter manifoldNonholonomic systemStability (learning theory)MathematicsPure mathematicsApplied mathematicsRobotComputer scienceTopology (electrical circuits)Control theory (sociology)Mathematical analysisArtificial intelligenceMobile robotNonlinear systemCombinatoricsPhysicsEngineeringControl (management)

Abstract

fetched live from OpenAlex

Nonholonomic constraints characterize robot systems in rolling contact with the environment as well as space manipulators. In this paper, the authors address the issue of stability of nonholonomic systems. In the past, it has been shown (Neimark and Fufaev, 1972) that an equilibrium manifold, rather than an isolated equilibrium point, exists for these systems. It is shown that Lyapunov's second method and La Salle's theorem of invariance can be adapted to study the stability of this manifold. Specifically, the Lyapunov function must be positive definite with respect to the equilibrium manifold and its derivative must vanish identically only thereupon. The example of the rolling vertical disc is used to illustrate the analysis.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: Simulation or modeling
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.089
Threshold uncertainty score0.210

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.009
GPT teacher head0.173
Teacher spread0.164 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Quick stats

Citations4
Published2002
Admission routes1
Has abstractyes

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