On the stability of linear systems with delay

被引：0
|
作者：
Barkin, A. I. [1 ]
机构：
[1] Russian Acad Sci, Inst Syst Anal, Moscow 117312, Russia
来源：
DOKLADY MATHEMATICS | 2006年 / 73卷 / 01期
关键词：
Linear System;
D O I：
10.1134/S1064562406010418
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The stability of a system governed by the equation with delay constants were determined by the stability of the quasi-polynomial. It was shown that the stability analysis of quasi-polynomial can be reduced to the stability analysis of certain family of polynomials. It was also considered that at zero delays the delay constant becomes a stable polynomial, to determine the stability domain of system. The stability conditions in the second and fourth-order principle minors were found positive. The actual stability domain constructed by integrating the equations of the system differs very less from the estimated one.
引用
收藏
页码：157 / 159
页数：3
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