Effect of off-diagonal delay on the asymptotic stability for an integro-differential system

被引：3

作者：

Matsunaga, Hideaki ^{[1
]}

Suzuki, Masakatsu ^{[2
]}

机构：

[1] Osaka Prefecture Univ, Dept Math Sci, Sakai, Osaka 5998531, Japan

[2] Wakayama Prefectural Kushimoto Koza Senior High S, Wakayama 6493503, Japan

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 11期

关键词：

Asymptotic stability; Integro-differential equation; Characteristic equation; Delay; BIFURCATION;

D O I：

10.1016/j.aml.2012.02.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our concern is to solve the stability problem for a linear integro-differential system with distributed delay in the off-diagonal terms. Some new necessary and sufficient conditions are established for the zero solution of the system to be asymptotically stable. The proof of our main theorem is given by a careful analysis of the locations of roots of the associated characteristic equation. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1744 / 1749

页数：6

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