Abstract

In stochastic differential systems, impulsive effects play an important role. By using the Lyapunov function and the Razumikhin technique, this paper investigates the mean-square exponential stability of linear time-delay stochastic systems with impulsive effects. The obtained results shown that the completely delayed impulses can make a contribution to the stability of a stochastic differential system. As an extension of the established results, completely delayed impulse effect is addressed. An example is given to illustrate the effectiveness of the results obtained.

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