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

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

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We address the problem of globally asymptotic stability for a class of stochastic jeff rosenstock buffalo 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 depileve easy clean given to illustrate the theoretical results.