On improved delay-dependent stability criterion of certain neutral differential equations

被引：18

作者：

Kwon, O. M. ^{[1
]}

Park, Ju H. ^{[2
]}

机构：

[1] Chungbuk Natl Univ, Sch Elect & Comp Engn, Cheongju 361763, South Korea

[2] Yeungnam Univ, Dept Elect Engn, Kyongsan 712749, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 199卷 / 01期

关键词：

neutral equation; asymptotic stability; Lyapunov method; LMI;

D O I：

10.1016/j.amc.2007.09.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this letter, the problem for an asymptotic stability of the following neutral differential equation: d/dt[x(t) + px(t-tau) = -ax(t) + btanh x(t-sigma) is considered. Based on the Lyapunov method, a stability criterion, which is delay-dependent on both tau and sigma, is derived in terms of linear matrix inequality (LMI). Two numerical examples are included to show the effectiveness of the proposed method. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：385 / 391

页数：7

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