Sampled-data based reliable control for switched stochastic delay systems with actuator failures under asynchronous switching

Abstract

This paper is concerned with sampled-data based reliable control for switched stochastic delay systems with actuator failures and nonlinear perturbations under asynchronous switching. By the multiple Lyapunov functional approach and the average dwell time technique, sufficient conditions are given to guarantee the mean-square exponential stability of switched stochastic delay systems with actuator failures and nonlinear perturbations under asynchronous switching. Considering the relationship between sampling periods and the minimal dwell time of two switching instants, sampled-data control under asynchronous switching is extended into switched stochastic delay systems with actuator failures and nonlinear perturbations. Then, a sampled-data based controller is designed. In the end, the effectiveness of proposed results is illustrated by a numerical example.