Decentralized state feedback control for a class of interconnected discrete-time stochastic systems with sector nonlinearities and mixed time-delays

This paper deals with the problem of decentralized state feedback control for a class of large-scale discrete-time stochastic systems involving sector nonlinearities and mixed time-delays. By employing the stochastic Lyapunov-like theorem and an effective approach, a decentralized controller is proposed by state-feedback, which can stabilize the resultant closed-loop system in the mean square sense stochastically. Since the conditions obtained for the existence of controllers are expressed in terms of linear matrix inequalities with nonlinear constraints, the results are converted by Schur complement lemma.