Feedback stabilization of nonlinear stochastic systems by locally bounded controls

Abstract

This paper deals with output regulation and stabilization of nonlinear control stochastic systems using Lyapunov-based methods. Sufficient conditions for global output regulation and stabilization using locally bounded state feedback are obtained. The approach used here is motivated by the work of Zhang and Hirschorn [9] in the deterministic case, that we generalize when the equation is corrupted by a multiplicative noise