Partial exponential stability of nonlinear time-varying large-scale systems

被引：5
|
作者：
Jian, JG [1 ]
Liao, XX
机构：
[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China
[2] China Three Gorges Univ, Coll Sci, Yichang 443002, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 59卷 / 05期
基金：
中国国家自然科学基金;
关键词：
nonlinear time-varying large-scale systems; partial exponential stability; Lyapunov functions; comparison principle;
D O I：
10.1016/j.na.2004.07.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, theorems concerning the partial exponential stability and globally partial exponential stability of nonlinear time-varying large-scale systems are obtained via both scalar and vector Lyapunov function methods and both scalar and vector comparison technique. By describing high-order systems as collections of lower interconnected subsystems so that the partial exponential stability and globally partial exponential stability property of isolated subsystems infers the same property of the over-all system, these theorems obtained here extend and complemented the relevant known results and enriched the contents of the partial exponential stability theory for nonlinear time-varying large-scale systems. Finally, two numerical examples are presented to illustrate the effectiveness of the results. (C) 2004 Elsevier Ltd. All rights reserved.
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页码：789 / 800
页数：12
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