A sufficient condition for the uniform exponential stability of time-varying systems with noise

被引：3
|
作者：
Grammel, G
Maizurna, I
机构：
[1] Tech Univ Munich, Ctr Math M6, D-85747 Munich, Germany
[2] Univ Adelaide, Dept Pure Math, Adelaide, SA 5005, Australia
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 56卷 / 07期
关键词：
exponential stability; averaging; differential inclusion;
D O I：
10.1016/j.na.2003.10.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The averaging method for nonlinear differential equations with a fast time variable is extended to systems with deterministic bounded noise. The averaged system is used to present a sufficient condition for the uniform exponential stability of the original system. The method of proof is based on a direct computation of the distance of trajectories of the averaged system to trajectories of the original system and manages without smoothness assumptions on the averaged system. (C) 2003 Elsevier Ltd. All rights reserved.
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页码：951 / 960
页数：10
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