带有滞后脉冲作用的随机泛函微分系统的稳定性

Stability of Stochastic Functional Differential Systems with Delayed Impulsive Effects

文章研究带有滞后脉冲作用的随机泛函微分系统的稳定性问题.基于Lyapunov函数法,利用常数变易公式及脉冲系统的比较原理,得到系统渐近稳定与指数稳定的充分性条件,这些条件主要依赖时变系数以及平均脉冲区间的积分均值.最后给出实例以验证结果的有效性.

The paper studies the stability of stochastic functional differential systems with delayed impulsive effects.Based on the Lyapunov function method,the sufficient conditions for the asymptotic stability and exponential stability of the systems are obtained by using the formula of the variation of parameters and the comparison principle of the impulsive systems.Finally,an example is given to verify the validity of the results.