Decentralized state-feedback control of high-order stochastic nonlinear systems

For a class of large-scale high-order stochastic nonlinear systems which are neither necessarily feedback linearizable nor affine in the control input, this paper investigates the decentralized stabilization for the first time. Under some moderate assumptions, a smooth decentralized state-feedback controller is designed, which ensures that the equilibrium at the origin of the closed-loop system is globally asymptotically stable (GAS) in probability, and the states can be regulated to the origin almost surely. The efficiency of the control scheme is demonstrated by a simulation example.