Delay-dependent stochastic admissibility for a class of discrete-time nonlinear singular Markovian jump systems with time-varying delay

In this paper, the problem of stochastic admissibility for a class of discrete-time nonlinear singular Markovian jump systems with time-varying delay is investigated by using Lyapunov functional method and the free-weighing matrix method. The considered systems are with mode-dependent singular matrices Er(k). Delay-dependent sufficient conditions are presented, which guarantee the considered systems to be stochastically admissible. Finally, some numerical examples are provided to illustrate the effectiveness of the proposed methods.