Decentralized stabilization of a class of interconnected stochastic nonlinear systems

This paper focuses on a class of large-scale interconnected stochastic nonl inear systems. The interconnections are bounded by strong nonlinear functio ns that contain first-order and higher order polynomials as special cases. The problem we address is to design a decentralized controller such that th e closed-loop, large-scale, interconnected stochastic nonlinear system is g lobally asymptotically stable in probability for all admissible interconnec tions. It is shown that the decentralized global stabilization via both sta te feedback and output feedback can be solved by a Lyapunov-based recursive design method.