Synthesis for Discrete-Time Markov Jump Systems with Event Triggered Strategy

In this paper, the stochastic stabilization problem for discrete-time Markov jump system with event triggered strategy is investigated. Under the premise of ensuring stochastic stabilizability, event triggered strategy is introduced in the Markov jump system to save communication resources. Sufficient conditions for stochastic stabilization of the underlying systems with completely known and partially known transition probabilities are inferred by linear matrix inequality formulation, respectively. Moreover, the mode-dependent controllers under event-triggered strategy could be designed according to the proposed conditions. Finally, numerical examples are provided to illustrate the effectiveness of the given results.