Stochastic stability in terms of an associated transfer function matrix for some hybrid systems with Markovian switching

This work is devoted to stability for a dynamical system with Markovian switched controller and a finite number of linear differential subsystems. We suppose sufficient conditions on a state space representation of an associated transfer function matrix which guarantees stochastic stability. The giv...

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Bibliographic Details
Published inCommunications Series A1 Mathematics & Statistics Vol. 67; no. 1; pp. 198 - 210
Main Author Chafai, IMZEGOUAN
Format Journal Article
LanguageEnglish
Turkish
Published Ankara Üniversitesi Fen Fakültesi 2018
Subjects
Matematik
Ankara
Türkiye
Hybrid switching system
transfer matrix
stationary distribution
Markov jump
companion form, stochastic stability
Lyapunov function
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ISSN1303-5991
DOI10.1501/Commua1_0000000842

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Summary:This work is devoted to stability for a dynamical system with Markovian switched controller and a finite number of linear differential subsystems. We suppose sufficient conditions on a state space representation of an associated transfer function matrix which guarantees stochastic stability. The given examples are detailed to illustrate the main result.
ISSN:1303-5991
DOI:10.1501/Commua1_0000000842