Abstract
This study addresses the stability problem for linear continuous-time Markovian switching singular systems. Based on a refined description for jumps of the system states at the switching instants, sufficient conditions for exponential stability in the mean-square sense of the Markovian switching singular system are obtained by means of multiple Lyapunov function method. The obtained results present a new analysis of the impact for switching law-induced state jump on the stability property of the considered system. Numerical examples are presented to illustrate the effectiveness of the proposed approach.
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