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

页码：200 / 210

页数：11

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