Globally Asymptotic Stability of Stochastic Nonlinear Systems with Time-Varying Delays via Output Feedback Control

الملخص EN

We address the problem of globally asymptotic stability for a class of stochastic nonlinear systems with time-varying delays.

By the backstepping method and Lyapunov theory, we design a linear output feedback controller recursively based on the observable linearization for a class of stochastic nonlinear systems with time-varying delays to guarantee that the closed-loop system is globally asymptotically stable in probability.

In particular, we extend the deterministic nonlinear system to stochastic nonlinear systems with time-varying delays.

Finally, an example and its simulations are given to illustrate the theoretical results.