Stability of a Class of Stochastic Nonlinear Systems with Markovian Switching

الملخص EN

This paper investigates the stability of a class of stochastic nonlinear systems with Markovian switching via output-feedback.

Based on the backstepping design method and homogeneous dominationtechnique, an output-feedback controller is constructed to guarantee that the closed-loop system has a unique solution and is almost surely asymptotically stable.

The efficiency of the output-feedback controller is demonstrated by a simulation example.