Event-Triggered Stabilization of Stochastic Nonlinear Discrete-time Systems

Abstract A discrete version of the LaSalle invariance theorem is employed to discuss event-triggered stabilization in this paper, without relying on the Lyapunov theorem. Firstly, the discrete version of the LaSalle invariance theorem is introduced as a powerful tool for analyzing event-triggered stabilization. Secondly, the globally asymptotic stabilization in probability is achieved by designing a suitable event-triggered control mechanism for discrete-time stochastic systems. Finally, the effectiveness of the controller is verified by a simulation.