Decentralized stabilization for a class of stochastic interconnected systems with unknown virtual control coefficients

Abstract

In this paper, the decentralized adaptive stabilization problem is investigated for a class of stochastic nonlinear interconnected systems with unknown virtual control coefficients under bounded disturbance. By utilizing the backstepping design technique and appropriately choosing Lyapunov functions and designed parameters, a state-feedback backstepping controller is designed to guarantee the boundedness in probability of the closed-loop system.