Stochastic Stability for Markovian Jump Linear Systems Subject to a Crucial Failure Event

dc.contributor.authorDo Val, João B.R.
dc.contributor.authorNespoli, Crisliane [UNESP]
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:20:56Z
dc.date.available2014-05-27T11:20:56Z
dc.date.issued2003-11-07
dc.description.abstractThis paper is concerned with the stability of discrete-time linear systems subject to random jumps in the parameters, described by an underlying finite-state Markov chain. In the model studied, a stopping time τ Δ is associated with the occurrence of a crucial failure after which the system is brought to a halt for maintenance. The usual stochastic stability concepts and associated results are not indicated, since they are tailored to pure infinite horizon problems. Using the concept named stochastic τ-stability, equivalent conditions to ensure the stochastic stability of the system until the occurrence of τ Δ is obtained. In addition, an intermediary and mixed case for which τ represents the minimum between the occurrence of a fix number N of failures and the occurrence of a crucial failure τ Δ is also considered. Necessary and sufficient conditions to ensure the stochastic τ-stability are provided in this setting that are auxiliary to the main result.en
dc.description.affiliationUNICAMP-Univ. Est. de Campinas Fac. de Eng. Elétrica Depto. de Telemática, C.P. 6101, 13081-970 Campinas, SP
dc.description.affiliationUNESP-Univ. Est. Paulista Fac. de Ciências e Tecnologia, C.P. 467, 19060-900 Pres. Prudente, SP
dc.description.affiliationUnespUNESP-Univ. Est. Paulista Fac. de Ciências e Tecnologia, C.P. 467, 19060-900 Pres. Prudente, SP
dc.format.extent4249-4254
dc.identifierhttp://dx.doi.org/10.1109/ACC.2003.1240503
dc.identifier.citationProceedings of the American Control Conference, v. 5, p. 4249-4254.
dc.identifier.doi10.1109/ACC.2003.1240503
dc.identifier.issn0743-1619
dc.identifier.lattes6948253798952881
dc.identifier.orcid0000-0002-0690-0857
dc.identifier.scopus2-s2.0-0142169052
dc.identifier.urihttp://hdl.handle.net/11449/67473
dc.language.isoeng
dc.relation.ispartofProceedings of the American Control Conference
dc.relation.ispartofsjr0,500
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectDiscrete time control systems
dc.subjectFailure (mechanical)
dc.subjectMarkov processes
dc.subjectDiscrete-time linear systems
dc.subjectLinear systems
dc.titleStochastic Stability for Markovian Jump Linear Systems Subject to a Crucial Failure Eventen
dc.typeTrabalho apresentado em evento
dcterms.licensehttp://www.ieee.org/publications_standards/publications/rights/rights_policies.html
unesp.author.lattes6948253798952881[2]
unesp.author.orcid0000-0002-0690-0857[2]

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