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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Veröffentlicht in:Nonlinear analysis 2005-11, Vol.63 (3), p.301-310
1. Verfasser: Boukas, E.K.
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description 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.
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subjects Jump linear systems
Linear matrix inequality
Robust stochastic stability
Singular systems
Stochastic stability
title On Robust stability of singular systems with random abrupt changes
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