A Finite-Time Stability Theorem of Stochastic Nonlinear Systems and Stabilization Designs

被引：0
|
作者：
Yin, Juliang [1 ]
Khoo, Suiyang [2 ]
Man, Zhihong [3 ]
机构：
[1] Jinan Univ, Dept Stat, Guangzhou 510630, Guangdong, Peoples R China
[2] Deakin Univ, Sch Engn, Geelong, Vic 3217, Australia
[3] Swinburne Univ Technol, Sch Engn & Ind Sci, Hawthorn, Vic 3122, Australia
来源：
2011 6TH IEEE CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS (ICIEA) | 2011年
基金：
美国国家科学基金会;
关键词：
o;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper focuses on the finite-time stability and stabilization designs of stochastic nonlinear systems. We first present and discuss a definition on the finite-time stability in probability of stochastic nonlinear systems, then we introduce a stochastic Lyapunov theorem on the finite-time stability, which has been established by Yin et al [8]. We also employ this theorem to design a continuous state feedback controller that makes a class of stochastic nonlinear systems to be stable in finite time. An example and a simulation are given to illustrate the theoretical analysis.
引用
收藏
页码：1288 / 1292
页数：5
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