Delay-dependent robust stability for Markovian jump singular systems with disturbances

This paper is concerned with robust stability problem for Markovian jump singular time-delay systems with disturbances. In terms of strict linear matrix inequality(LMI), a new necessary and sufficient condition is proposed for the unforced Markovian jump singular system to be stochastically admissible. Based on this, the sufficient conditions are obtained for the existence of performance, which guarantees the singular Markovian jump systems with disturbances to be regular, impulse-free and stochastically stable. One numerical example is given to demonstrate the applicability of the proposed method.