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

被引：0

作者：

Song, Mingzhu ^{[1
]}

Cheng, Wenwen ^{[2
,3
]}

Zhu, Quanxin ^{[2
,3
,4
]}

Zhou, Hongwei ^{[5
]}

Wang, Hui ^{[2
,3
]}

机构：

[1] Tongling Univ, Dept Math & Comp Sci, Tongling 244000, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China

[3] Nanjing Normal Univ, Inst Finance & Stat, Nanjing 210023, Jiangsu, Peoples R China

[4] Univ Bielefeld, Dept Math, D-33615 Bielefeld, Germany

[5] Nanjing Xiaozhuang Univ, Sch Math & Informat Technol, Nanjing 211171, Jiangsu, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2016年 / 2016卷

基金：

中国国家自然科学基金;

关键词：

DISTURBANCE ATTENUATION; STABILIZATION; DESIGN; TRACKING;

D O I：

10.1155/2016/7548156

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：11

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