Stabilization of stochastic functional differential systems with delayed impulses

摘要

This paper is concerned with the stabilization problem for a class of stochastic functional differential system with delayed impulses. By applying a generalized comparison principle and the average dwell time method, some sufficient criteria for input-to-state stable (ISS) type and exponential stability properties are derived. The coefficients of the upper bound for the diffusion operator of Lyapunov functions are allowed to be time-varying, which improves the existing results greatly. Two numerical examples are presented to illustrate the effectiveness of the proposed results.