Delay-Dependent Stability of Impulsive Stochastic Systems with Multiple Delays

This paper associates with stability analysis of linear impulsive stochastic delay systems (ISDSs). Although many conclusions about the ISDSs have been obtained based on Lyapunov’s method, relatively few research theories delay-dependent less conservativeness established. Therefore, we introduce an appropriate Lyapunov-Krasovskii functional (LKF) to work out this problem, and a novel exponential theorem is first deduced. On other hand, when mean-square considered, present conditions, it interest note that proposed conditions do not depend size delays in diffusion term, which solves problems determining for term are available. In end, two numerical examples carried verify feasibility our conclusions.