Global output-feedback stabilization for stochastic nonlinear systems: A double-domination approach

This paper is concerned with global stabilization via output feedback for a class of stochastic nonlinear systems with time-varying continuous output function. Under linear growth conditions, a new double-domination method is proposed for the first time to construct an output-feedback stabilizing controller. Different from the related results, the design of the observer is performed without using the information on the output function and nonlinearities. This paper also provides a viewpoint at the feedback stabilization to eliminate the continuous measurement error originating from inaccurate detection of system state. A simulation example is presented to demonstrate the effectiveness of control strategy.