The aim of this paper is to the discussion of the exponential stability of a class of impulsive neutral stochastic functional differential equations with Markovian switching. Under the influence of impulsive disturbance, the solution for the system is discontinuous. By using the Razumikhin technique and stochastic analysis approaches, as well as combining the idea of mathematical induction and classification discussion, some sufficient conditions for the pth moment exponential stability and almost exponential stability of the systems are obtained. The stability conclusion is full time-delay. The results show that impulse, the point distance of impulse and Markovain switching affect the stability for the system. Finally, two examples are provided to illustrate the effectiveness of the results proposed.

本文的目的是讨论一类具有马尔可夫切换的脉冲中性随机泛函微分方程的指数稳定性。在脉冲扰动的影响下，系统的解是不连续的。利用Razumikhin技术和随机分析方法，结合数学归纳法和分类讨论的思想，得到了系统p阶矩指数稳定和准指数稳定的一些充分条件。稳定性结论是全时滞的。结果表明，冲量、冲量点距和马尔科夫切换对系统的稳定性有影响。最后，提供了两个例子来说明所提出的结果的有效性。