New criteria for exponential stability of nonlinear time-varying differential systems

被引：9
|
作者：
Pham Huu Anh Ngoc [1 ]
机构：
[1] Vietnam Natl Univ HCMC, Int Univ, Ho Chi Minh City, Vietnam
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2014年 / 24卷 / 02期
关键词：
nonlinear differential system; time-varying; exponential stability; perturbation; ASYMPTOTIC STABILITY; ROBUST STABILITY; RADII; EQUATIONS;
D O I：
10.1002/rnc.2885
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
General nonlinear time-varying differential systems are considered. An explicit criterion for exponential stability is presented. Furthermore, an explicit robust stability bound for systems subjected to nonlinear time-varying perturbations is given. In particular, it is shown that the generalized Aizerman conjecture holds for positive linear systems. Some examples are given to illustrate obtained results.Copyright (c) 2012 John Wiley & Sons, Ltd.
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页码：264 / 275
页数：12
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