Robust stabilization for stochastic time-delay systems with polytopic uncertainties

This paper considers the problem of robust stabilization for stochastic time-delay systems with convex polytopic uncertainties. Sufficient conditions for the solvability of the problem are obtained by using parameter-independent and parameter-dependent Lyapunov functional, respectively. It is shown that the result derived by a parameter-dependent Lyapunov functional is less conservative. A desired state feedback controller can be designed by solving a set of linear matrix inequalities.