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Record W33127994 · doi:10.1038/s41598-020-75729-8

Stochastic Hybrid Systems: Stability and Stabilization

2004· article· en· W33127994 on OpenAlexaff
El‐Kébir Boukas

Bibliographic record

VenueLes Cahiers du GERAD · 2004
Typearticle
Languageen
FieldEngineering
TopicStability and Control of Uncertain Systems
Canadian institutionsPolytechnique Montréal
FundersFonds Wetenschappelijk Onderzoek
KeywordsMathematicsConstant (computer programming)Norm (philosophy)Applied mathematicsBounded functionMathematical economicsControl theory (sociology)Computer sciencePhilosophyControl (management)Mathematical analysis

Abstract

fetched live from OpenAlex

This paper deals with the control of the class of uncertain hybrid stochastic systems. The uncertainties we are considering are of norm bounded type. The stochastic stabilization and robust stabilization problems are treated. LMIs based conditions are developed to design the state feedback controller with constant gain that stochastically (robust stochastically) stabilizes the studied class of systems. Numerical examples are given to show the usefulness of the proposed results. Resume Cet article traite de la commande des systemes incertains stochastiques a sauts markoviens. Les incertitudes considerees dans ce travail sont du type bornees en norme. Les problemes de stabilite et de stabilisation de cette classe de systemes sont consideres ainsi que leur robustesse. Des conditions en forme d’inegalites matricielles lineaires pour le design d’un correcteur par retour d’etat a gain constant (indepdent du mode du systeme) sont developpees. Des exemples numeriques pour montrer l’efficacite des resultats developpes sont presentes. Les Cahiers du GERAD G–2004–28 1

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.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.006
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.010
Threshold uncertainty score0.020

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.006
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0010.000
Science and technology studies0.0010.002
Scholarly communication0.0020.001
Open science0.0010.002
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0030.000

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 head0.007
GPT teacher head0.172
Teacher spread0.165 · 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

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreMethods

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2004
Admission routes1
Has abstractyes

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Same venueLes Cahiers du GERADSame topicStability and Control of Uncertain SystemsFrench-language works237,207