Mostrar el registro sencillo del ítem

Almost Sure Stabilization for Adaptive Controls of Regime-switching LQ Systems with A Hidden Markov Chain

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierQuality control and dynamic reliability [CQFD]
dc.contributor.authorBERCU, Bernard
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierQuality control and dynamic reliability [CQFD]
dc.contributor.authorDUFOUR, François
dc.contributor.authorYIN, G. George
dc.date.accessioned2024-04-04T02:38:40Z
dc.date.available2024-04-04T02:38:40Z
dc.date.created2008-07-09
dc.date.issued2009-09-20
dc.identifier.issn0018-9286
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190896
dc.description.abstractEnThis work is devoted to the almost sure stabilization of adaptive control systems that involve an unknown Markov chain. The control system displays continuous dynamics represented by differential equations and discrete events given by a hidden Markov chain. Different from previous work on stabilization of adaptive controlled systems with a hidden Markov chain, where average criteria were considered, this work focuses on the almost sure stabilization or sample path stabilization of the underlying processes. Under simple conditions, it is shown that as long as the feedback controls have linear growth in the continuous component, the resulting process is regular. Moreover, by appropriate choice of the Lyapunov functions, it is shown that the adaptive system is stabilizable almost surely. As a by-product, it is also established that the controlled process is positive recurrent.
dc.language.isoen
dc.publisherInstitute of Electrical and Electronics Engineers
dc.title.enAlmost Sure Stabilization for Adaptive Controls of Regime-switching LQ Systems with A Hidden Markov Chain
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Probabilités [math.PR]
dc.identifier.arxiv0807.1413
bordeaux.journalIEEE Transactions on Automatic Control
bordeaux.page1-25
bordeaux.volume54
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00386244
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00386244v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=IEEE%20Transactions%20on%20Automatic%20Control&rft.date=2009-09-20&rft.volume=54&rft.spage=1-25&rft.epage=1-25&rft.eissn=0018-9286&rft.issn=0018-9286&rft.au=BERCU,%20Bernard&DUFOUR,%20Fran%C3%A7ois&YIN,%20G.%20George&rft.genre=article


Archivos en el ítem

ArchivosTamañoFormatoVer

No hay archivos asociados a este ítem.

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem