Finite-time control of switched stochastic delayed systems

This paper is devoted to the finite-time stability analysis and control for switched stochastic delayed systems (SSDSs). The issue of mean-square finite-time stability for nonlinear switched stochastic delayed systems (NSSDSs) is considered. A stability criterion with average dwell time constraint is proposed to ensure the mean-square value of state is not larger than a prescribed threshold during a given time interval. This result can be extended to analysis and design for nonlinear/linear switched stochastic delayed systems. Then, based on partial-mode-dependent/mode-dependent Lyapunov function approaches, mean-square finite-time stability conditions for linear switched stochastic delayed systems (LSSDSs) are developed. Subsequently, both partial-mode-dependent and mode-dependent state feedback controllers for LSSDSs are designed, respectively. Finally, an illustrative example is provided to demonstrated the effectiveness of the method.