一类灰色脉冲随机时滞系统的几乎必然指数鲁棒稳定性

Almost Surely Exponential Robust Stability for a Class of Grey Impulsive Stochastic Delay Systems

为了研究一类灰色脉冲随机时滞系统几乎必然指数稳定性的问题,首先利用Razumikhin方法和Lyapunov函数,给出了脉冲随机泛函微分系统几乎必然指数稳定的条件,然后基于此条件和时变灰矩阵的连续矩阵覆盖的分解技术,得到了该类灰色脉冲随机时滞系统几乎必然指数稳鲁棒定性的判据,最后通过一个数值例子说明了得判据是有效的和实用的.

This paper investigates the almost surely exponential robust stability for a class of grey impulsive stochastic delay systems. The sufficient condition of almost surely exponential stability of stochastic functional differential systems first is derived by using Razumikhin method and Lyapunov function. Then based on the obtained result and the decomposition technique of continuous matrix-covered sets of time-varying interval grey matrix, the criteria of almost surely exponential robust stability for such a grey impulsive stochastic systems are presented. Finally, a numerical example shows the effectiveness and practicality of the presented criteria.