ROBUST STABILIZATION OF STOCHASTIC SWITCHED DELAY SYSTEMS VIA STATE-DEPENDENT SWITCHING RULE

This paper considers the robust stabilization of uncertain stochastic switched systems with constant time-delay. While most of the results on stability analysis of switched systems in literature assume all subsystems are stable, the results of this paper can deal with stochastic switched systems consisting of unstable subsystems. Assuming there exists a Hurwitz linear convex combination for the original system, it is shown that a state-dependent switching rule can be found to stabilize the stochastically perturbed system with both uncertainties and time-delay, provided that the perturbation, uncertainties, and time-delay are sufficiently small. An effort was made to give an explicit stability upper bound for the time-delay. The results are also extended to nonlinear systems. Numerical examples are presented to demonstrate the results.