Event-triggered control for Markov jump system with nonlinear term satisfying incremental quadratic constraint

This paper discusses the controller design of a class of nonlinear Markov jump system, in which the nonlinear function satisfies the incremental quadratic constraint. In addition, for the sake of saving communication resources and reducing burden on the system, a control strategy governed by event-triggered condition is implemented in this paper. Firstly, for the sake of later reasoning, the event-triggered condition and the nonlinear function satisfying the incremental quadratic constraint are proposed. Secondly, for a class of nonlinear continuous-time Markov jump system, a sufficient condition to ensure the system state stochastically stable is derived under event-triggered control scheme. Finally, a numerical simulation example is used to demonstrate the validity of the theorem proposed in this paper.