Globally asymptotic stabilization of stochastic nonlinear systems in strict-feedback form

被引：9
|
作者：
Xiong, Shuangshuang [1 ,2 ,3 ]
Zhu, Quanxin [1 ,2 ]
Jiang, Feng [4 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
[2] Nanjing Normal Univ, Inst Finance & Stat, Nanjing 210023, Jiangsu, Peoples R China
[3] Beijing Jiaotong Univ, Sch Elect & Informat Engn, Adv Control Syst Lab, Beijing 100044, Peoples R China
[4] Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Hubei, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2015年 / 352卷 / 11期
基金：
中国国家自然科学基金;
关键词：
DIFFERENTIAL-DELAY EQUATIONS; EXPONENTIAL STABILITY; THEOREM; DESIGN;
D O I：
10.1016/j.jfranklin.2015.08.013
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we study the problem of globally asymptotic stabilization for a class of stochastic nonlinear systems. Without requiring the condition that the coefficients are smooth functions, this paper is a first try to apply the backstepping control design method to prove the globally asymptotic stability in probability of stochastic nonlinear systems in strict-feedback form. A continuous control law is constructed by a novel systematic design algorithm. Finally, we provide an example to show the effectiveness of the theoretical results. (C) 2015 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：5106 / 5121
页数：16
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