Stability criteria for certain third-order delay differential equations

被引：13

作者：

Cahlon, B ^{[1
]}

Schmidt, D ^{[1
]}

机构：

[1] Oakland Univ, Dept Math & Stat, Rochester, MI 48309 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2006年 / 188卷 / 02期

关键词：

asymptotic stability; stability criteria; sufficient conditions; delay; characteristic functions; stability regions;

D O I：

10.1016/j.cam.2005.04.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the asymptotic stability of the zero solution of third-order linear delay differential equations of the form y"' (t) = p(1)y" (t) + p(2)y (t - tau) + q(2)y' (t - tau) + v(1)y (t) + v(2)y (t - tau) where p(1), p(2), q(1), q(2), v(1) and v(2) are certain constants. Here tau > 0 is a constant delay. In proving our results we make use of Pontryagin's theory for quasi-polynomials. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：319 / 335

页数：17

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