An LMI Approach to Stochastic Stability Analysis for Uncertain Discrete-Time Markovian Jump Singular System with State-Delay

This paper considers the stochastic stability analysis 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 robust admissibility condition is given to ensure the system to be stochastically admissible. Finally, an example is provided to demonstrate the effectiveness of the proposed approach.