ON STABILITY OF A CLASS OF INTEGRO-DIFFERENTIAL EQUATIONS

被引：3

作者：

Pham Huu Anh Ngoc ^{[1
]}

机构：

[1] HCMC Int Univ, Vietnam Natl Univ, Dept Math, Thu Duc Dist, Saigon, Vietnam

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2013年 / 17卷 / 02期

关键词：

Linear Volterra-Stieltjes equation; Uniform asymptotic stability; Exponential asymptotic stability; VOLTERRA-EQUATIONS; ROBUST STABILITY; SYSTEMS; DELAY;

D O I：

10.11650/tjm.17.2013.1699

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give some simple criteria for uniform asymptotic stability and exponential asymptotic stability of linear Volterra-Stieltjes differential equations. These criteria are given in terms of the matrix measure or the spectral abscissa of certain matrices derived from the coefficient matrices. An application of obtained results to linear integro-differential equations with delay is presented.

引用

页码：407 / 425

页数：19

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