On asymptotic stability of a class of time-delay systems

被引：0
|
作者：
Deger, Serbun Ufuk [1 ,2 ]
Bolat, Yasar [1 ,2 ]
机构：
[1] Kastamonu Univ, Inst Sci, Dept Math, Kastamonu, Turkey
[2] Kastamonu Univ, Fac Art & Sci, Dept Math, Kastamonu, Turkey
来源：
COGENT MATHEMATICS & STATISTICS | 2018年 / 5卷 / 01期
关键词：
asymptotic stability; delay differential equations; characteristic equation;
D O I：
10.1080/25742558.2018.1473709
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give some new necessary and sufficient conditions for the asymptotic stability of a class of time-delay systems of the form x'(t) + (1 - a)x(t) + A(x(t - k) + x(t - 1)) = 0, t >= 0; where a is a real number, A is a 2 x 2 real constant matrix, and k, l are positive numbers such that k > l.
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页数：11
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