On the stability of a class of unforced nonlinear systems: an operator norm approach

被引：0
|
作者：
Zahedzadeh, V. [1 ]
Marquez, H. J. [1 ]
Chen, T. [1 ]
机构：
[1] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB TG6 2V4, Canada
来源：
IET CONTROL THEORY AND APPLICATIONS | 2009年 / 3卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
SMALL-GAIN THEOREM; OUTPUT STABILITY; EQUATIONS; INPUT;
D O I：
10.1049/iet-cta:20080109
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A new framework to study the stability of nonlinear systems is presented. Given a nonlinear system, the authors first decompose it as the feedback interconnection of two operators and a decaying input originated by the initial state. Using these operators, the non-zero initial state stability problem is converted into an input-output stability problem. Based on this approach, sufficient conditions for global stability for unforced nonlinear systems are derived. In the case of local stability, a new method is proposed to estimate the stability region.
引用
收藏
页码：200 / 210
页数：11
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