Robust decentralized sliding mode control for uncertain stochastic systems with time delays

This paper is concerned with the problem of robust stabilization for uncertain stochastic delay systems with interconnections via decentralized sliding mode control. Some less restrictive sufficient conditions for the existence of decentralized sliding surfaces are given in terms of linear matrix inequalities, by which the decentralized sliding mode controllers ensuring the reachability of the specified decentralized sliding surfaces are designed. A numerical example is included to verify the validity of the developed controller.