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：

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

页码：1288 / 1292

页数：5

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