针对一般的随机泛函微分系统,提出了可脉冲均方一致渐近镇定和可周期性脉冲均方一致渐近镇定的定义.利用Lyapunov函数和一个一维线性脉冲时滞系统的渐近稳定性条件,得到了随机泛函微分系统可周期性脉冲均方一致渐近镇定的充分判据,并给出了脉冲控制律的具体设计方法.脉冲控制函数为正比例函数,脉冲发生间隔则依赖于系统本身的参数和选取的脉冲控制函数的比例系数.数值例子表明所设计的脉冲控制器是有效的.

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.