Delay-dependent robust H-infinity stability for uncertain discrete-time Markovian jump singular system

This paper considers the robust H-infinity stability of uncertain discrete-time singular system with Markovian jumping parameters and state delay. The considered systems are not necessarily assumed to be regular and causal. In term of linear matrix inequality approach, a delay-dependent stability criterion is given to ensure the nominal system to be stochastically admissible. Based on the criterion, the robust H-infinity stability condition for uncertain discrete-time Markovian jump singular system is obtained.