Mean-square impulsive exponential stabilization of a class of stochastic system with time delay

This paper discusses the mean-square exponential stabilization problem for a class of stochastic system with time delay via impulsive control. By using Razumikhin-type technique, some sufficient conditions in terms of linear matrix inequalities(LMIs) are proposed for the design of an impulsive controller such that the stochastic impulsive control system with delay is mean-square exponentially stable. Several examples are presented to illustrate the effectiveness of the proposed results.