Exponential stability of nonlinear differential delay equations

被引：38
|
作者：
Mao, X
机构：
[1] Dept. of Stat. and Modelling Science, University of Strathclyde
来源：
SYSTEMS & CONTROL LETTERS | 1996年 / 28卷 / 03期
关键词：
exponential stability; nonlinear differential delay equations; Gronwall's inequality;
D O I：
10.1016/0167-6911(96)00023-0
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The aim of this paper is to investigate the exponential stability of a nonlinear differential delay equation a(t) = f(t,x(t),x(t-tau)). Introduce the corresponding differential equation (without delay) y(t)=f(t,y(t),y(t)) and assume it is exponentially stable. It will be shown in this paper that the differential delay equation will remain exponentially stable provided the time lag tau is small enough.
引用
收藏
页码：159 / 165
页数：7
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