Decentralized Stabilization of Large-Scale Stochastic Systems with Delay Uncertain Interconnection 1

Abstract This paper is devoted to the decentralized stabilization of large-scale stochastic systems of Ito type with delay uncertain interconnection by Lyapunov functional. Criteria are established for the large-scale stochastic systems to be stabilized by decentralized controllers. An associated algorithm named SLC is given to obtain the decentralized controllers. The criteria and algorithm can be applied to deterministic large-scale systems as a special case.