Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/101611
Type: Artigo de evento
Title: Stochastic Stability For Markovian Jump Linear Systems Associated With A Finite Number Of Jump Times
Author: Do Val J.B.R.
Nespoli C.
Zuniga Y.R.C.
Abstract: This paper deals with a stochastic stability concept for discrete-time Markovian jump linear systems. The random jump parameter is associated to changes between the system operation modes due to failures or repairs, which can be well described by an underlying finite-state Markov chain. In the model studied, a fixed number of failures or repairs is accepted, after which, the system is brought to a halt for maintenance or for replacement. The usual concepts of stochastic stability are related to pure infinite horizon problems, and are not appropriate in this scenario. A new stability concept is introduced, named stochastic τ-stability that is tailored to the present setting. Necessary and sufficient conditions to ensure the stochastic τ-stability are provided, and the almost sure stability concept associated with this class of processes is also addressed. The paper also develop an equivalence among second order concepts that parallels the results for infinite horizon problems.
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Rights: fechado
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Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-0036057658&partnerID=40&md5=d1e1c2a1186d4452f95cb8e6cc8cba9e
Date Issue: 2002
Appears in Collections:Unicamp - Artigos e Outros Documentos

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