Exponential Stability of Stochastic Functional Differential Equations with Delayed Impulses

We focus on exponential stability of stochastic functional differential equations with delayed impulses. One of the notable characteristics of this paper is the dependence of both the given impulsive-free stochastic differential equation and impulsive perturbations on the past state of the system. Compared with the existing literature, we introduce new criteria for establishing exponential stability in mean square and almost surely. We provide two examples in this paper to showcase the effectiveness of our criteria.