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Delay-dependent stochastic admissibility for a class of discrete-time nonlinear singular Markovian jump systems with time-varying delay. (English) Zbl 1470.93162

Summary: 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 \(E_{r(k)}\). 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.

MSC:

93E15 Stochastic stability in control theory
39A50 Stochastic difference equations
60J10 Markov chains (discrete-time Markov processes on discrete state spaces)
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