Finite-time stability and control of impulsive stochastic delayed systems based on average impulsive interval

This paper addresses the mean square finite-time stability and stabilization for a class of nonlinear impulsive stochastic systems with time-varying delays. Employing multiple Lyapunov-like function and stochastic analysis techniques, sufficient conditions in forms of linear matrix inequalities for the finite-time stability are established based on the average impulsive interval concept. Furthermore, a feedback controller is designed such that the corresponding closed-loop systems are mean square finite-time stable. Finally, a numerical example is provided to illustrate the effectiveness of the obtained results.