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

Mingzhu Song, Wenwen Cheng, Quanxin Zhu, Hongwei Zhou and Hui Wang

Discrete Dynamics in Nature and Society, 2016, vol. 2016, 1-11

Abstract:

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:7548156

DOI: 10.1155/2016/7548156

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