STABILITY OF LINEAR TIME VARIANT DYNAMIC SYSTEMS WITH MULTIPLE TIME DELAYS

被引：0
|
作者：
王在华
胡海岩
机构：
[1] Institute of Vibration Engineering Research,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China
[2] Mailing address:Mathematics Section,Nanjing Institute of Engineering,PLA,Nanjing 210007,China
来源：
Acta Mechanica Sinica | 1998年 / 14卷 / 03期
基金：
中国国家自然科学基金;
关键词：
time delay; stability; frozen time approach; retarded dynamic systems;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
By means of the frozen time approach and the Kronecker product,two criteria of asymptotic stability are derived for the linear,time variant dynamicsystems with either short time delays or with weak feedback involving arbitrary timedelays,respectively.It is found that the asymptotic stability of these retarded dy-nainic systems is governed by the maximal and minimal singular values of the coeffi-cient matrices and their time derivatives.
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页码：274 / 282
页数：9
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