Stability criteria for certain third order delay differential equations

被引：0

作者：

Cahlon, B ^{[1
]}

Schmidt, D ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF DYNAMIC SYSTEMS AND APPLICATIONS, VOL 4 | 2004年

关键词：

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

D O I：

暂无

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(1)y'(t) + q2y'(t - tau) + r(1)y(t) + r(2)y(t - tau) where p(1), p(2), q(1), q(2), r(1) and r(2) are certain constants. Here tau > 0 is a constant. In proving our results we make use of Pontryagin's theory for quasi-polynomials.

引用

页码：336 / 342

页数：7

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