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.

引用

页数：11

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