Global output-feedback stabilization for a class of generalized stochastic nonlinear systems

This paper investigates the global output-feedback stabilization for a class of generalized stochastic nonlinear systems. In this paper, the systems possess the control coefficients which are functions of output, and hence are essentially different from the existing related works. An appropriate reduced-order observer is first introduced to rebuild the unmeasurable system states, and then an output-feedback controller is successfully designed by using the backstepping method, which guarantees that the closed-loop system is globally asymptotically stable in probability.