Matrix-valued functionals approach for stability analysis of functional differential equations

被引：1

作者：

Martynyuk, AA ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, SP Timosenko Inst Mech, Dept Proc Stabil, UA-03057 Kiev 57, Ukraine

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 56卷 / 06期

关键词：

functional differential equations; matrix-valued functional; stability;

D O I：

10.1016/j.na.2003.10.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Stability analysis of non-autonomous functional differential equations with finite delay via the matrix-valued functional of Liapunov is considered. A new theorem on uniform asymptotic stability is established and some corollaries are obtained. These results generalize some well-known theorems in the stability theory of functional differential equations via scalar Liapunov functional obtained recently. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：793 / 802

页数：10

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