Globally Asymptotic Stability of Stochastic Nonlinear Systems by the Output Feedback

Abstract EN

We address the problem of the globally asymptotic stability for a class of stochastic nonlinear systems with the output feedback control.

By using the backstepping design method, a novel dynamic output feedback controller is designed to ensure that the stochastic nonlinear closed-loop system is globally asymptotically stable in probability.

Our way is different fromthe traditional mathematical induction method.

Indeed, we develop a new method to study the globally asymptotic stability by introducing a series of specific inequalities.

Moreover, an example and its simulations are given to illustrate the theoretical result.