Dynamic event-triggered control for highly nonlinear hybrid stochastic systems with mixed delays and deception attacks

Abstract

This paper addresses the issue of event-triggered control for highly nonlinear hybrid stochastic systems with mixed delays. The main objective is to stabilize the stochastic systems while conserving communication resources. To achieve this aim, a dynamic event-triggered control strategy based on the aperiodic sampling mechanism is employed and two network phenomena during signal transmission including transmission delay and deception attacks are addressed. The existence and uniqueness of the global solution are analyzed under the assumption that the nonlinear coefficients satisfy the polynomial growth condition. By utilizing the Lyapunov stability theory and the $M$-matrix technique, sufficient criteria are proposed to ensure the desired $p$th moment asymptotic stability and $p$th moment exponential stability of the controlled stochastic systems. Finally, a numerical example is given in order to verify the possibility of the proposed theoretical results.