Stability of impulsive delay differential equations

被引：26

作者：

You, Zhongli ^{[1
]}

Wang, JinRong ^{[1
]}

机构：

[1] Guizhou Univ, Coll Math & Stat, Guiyang 550025, Guizhou, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2018年 / 56卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Impulsive delayed Cauchy matrix; Impulsive delay differential equations; Asymptotically stability; LINEAR DISCRETE-SYSTEMS; EXPONENTIAL STABILITY; CONSTANT-COEFFICIENTS; NEURAL-NETWORKS; CONTROLLABILITY; REPRESENTATION;

D O I：

10.1007/s12190-016-1072-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce impulsive delayed matrix function and give its norm estimation. With the help of impulsive delayed Cauchy matrix and the variation of constants method, we obtain representation of solutions to linear impulsive delay differential equations. Moreover, we derive some sufficient conditions to guarantee the trivial solution is locally asymptotically stable. Finally, two examples are given to illustrate our theoretical results.

引用

页码：253 / 268

页数：16

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