Decentralized Robust Stabilization Independent of Delay for Multidelay Stochastic Large Scale Systems

In this paper, by using the various types of Lyapunov functionals and the property of Lyapunov matrix equation as well as the property of Riccati matrix equation, criteria are established for decentralized stabilization of multidelay stochastic large scale systems using local state feedback. The stability of the closed-loop stochastic large scale systems is independent of delay and robust for the uncertain coefficient matrices and the uncertain strength of stochastic disturbance which vary in a bounded range. Two of the theorems obtained in this paper (Theorem 1 and 2) possess the following character: under some reasonable and simple conditions, the asymptotic stability of the closed-loop stochastic large scale systems is guaranteed, without solving Lyapunov matrix equation and Riccati matrix equation.