On Robust stability of singular systems with random abrupt changes

This paper deals with the class of continuous-time singular linear systems with Markovian switching. Sufficient conditions on stochastic stability and robust stochastic stability are developed in the LMI setting. The developed sufficient conditions are used to check if either the nominal or the unce...

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Bibliographic Details
Published inNonlinear analysis Vol. 63; no. 3; pp. 301 - 310
Main Author Boukas, E.K.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.11.2005
Subjects
Jump linear systems
Linear matrix inequality
Robust stochastic stability
Singular systems
Stochastic stability
Linear matrix inequality
Robust stochastic stability
Jump linear systems
Stochastic stability
Singular systems
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Summary:This paper deals with the class of continuous-time singular linear systems with Markovian switching. Sufficient conditions on stochastic stability and robust stochastic stability are developed in the LMI setting. The developed sufficient conditions are used to check if either the nominal or the uncertain systems are regular, impulse-free and stochastically stable or robust stochastically stable.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2005.03.110