Decentralized adaptive stabilization of nonlinear interconnected stochastic systems by output feedback

This paper studies the stabilization problem for a class of stochastic nonlinear interconnected systems with unknown parameters involved. By employing filtered transformation, the stochastic Lyapunov-like theorem and the back-stepping design technique, a decentralized output-feedback controller and parameter adaptive law are proposed. It is proved that the closed-loop, large-scale, interconnected stochastic systems is globally asymptotically stable in probability.