Event-triggered stabilization for discrete-time Markov jump systems with time-varying delay

In this paper, stochastic stabilization problem for discrete-time Markov jump system with time-varying delay under event-triggered strategy is investigated. With guaranteeing stochastic stabilizability, event-triggered strategy is introduced to save communication resources for the underlying system. Sufficient conditions are derived for stochastic stabilization of the systems with completely known and partially known transition probabilities, respectively. Moreover, mode-dependent controllers under event-triggered strategy could be designed according to the proposed conditions. Finally, numerical examples are provided to demonstrate the application of the given results.