关键词: 随机系统, 脉冲镇定, 周期性脉冲镇定, 均方一致渐近镇定

Abstract:

In this paper,first,the concepts of mean-square uniformly asymptotic stabilization by impulses and by periodical impulses are proposed for general stochastic functional differential systems.Next,the sufficient criteria for mean-square uniformly asymptotic stabilization of the stochastic systems by periodical impulses are put forward by using Lyapunov functions and the asymptotic stability of a scalar linear impulsive delay differential system.Then,a specific design method of impulsive controllers is presented,in which the impulse functions are chosen as proportional functions,and the intervals of impulsive moment depend on system parameters and the selected proportional coefficients of impulse functions.Finally,a numerical example is presented to verify the effectiveness of the designed controllers.

Key words: stochastic systems, impulsive stabilization, periodical impulsive stabilization, mean-square uniformly asymptotic stabilization