Delay-dependent stochastic stability of uncertain discrete-time Markovian jump singular system

The problem of stochastic stability analysis for uncertain discrete-time Markovian jump singular systems is investigated in this paper. The considered systems are subject norm-bounded parameter uncertainties and constant time delay. By decomposing the nominal system into slow and fast subsystems, a linear matrix inequality condition is proposed for a discrete-time Markovian jump singular system to be regular, causal and stable. Based on this, a sufficient condition for stochastic stability of an uncertain discrete-time Markovian jump singular system with time-delay is obtained. Finally, an example is provided to demonstrate the effectiveness of the proposed approach.