研究了一类具有脉冲效应和时变时滞的灰色随机系统的鲁棒稳定性问题。在给出了脉冲随机泛函微分系统随机稳定性的条件的基础上,首先利用Lyapunov-KrasoVskii泛函法和灰矩阵的连续矩阵覆盖的分解技术,得到了具有脉冲效应和时变时滞的灰色随机系统的随机鲁棒稳定性判据,进而基于所得的这个随机鲁棒稳定性判据和Dini导数,给出了该系统指数鲁棒稳定性的判据。实例表明,所得判据是有效的和实用的。 The robust stability of a class of stochastic gray stochastic systems with impulsive effects and time-varying delays is studied. Based on the condition of stochastic stability of impulsive stochastic functional differential system, firstly, by using Lyapunov-Kraso-Vskii functional method and decomposition of continuous matrix covering of gray matrix, we get the gray with pulse effect and time-varying delay Based on the stochastic robust stability criteria and the Dini derivatives obtained, this paper gives the criterion of the robust stability of the exponential system. The examples show that the obtained criterion is valid and practical.