Stabilization of stochastic delayed systems: Event-triggered impulsive control

Abstract

In this paper, we discuss the stability problem of impulsive stochastic delayed systems within the framework of event-triggered control strategy. Event-triggered impulsive control (ETIC) is proposed to guarantee system’s pth moment stability performance. In ETIC, the impulsive control inputs are generated by some pre-designed event triggering conditions and control inputs in the period of two triggered instants are not required. Then controller design problems for nonlinear impulsive stochastic delayed systems are addressed to show the validity of our theoretical results. Moreover, the involved non-Zeno problem is addressed in detail. Finally, two interesting examples with simulation results are performed to substantiate the validity and merits of our theoretical analysis.