The existence and exponential stability of periodic solution for impulsive delay differential equations

被引：4

作者：

Lin, Yusen ^{[1
]}

Pu, Xiaoqin ^{[2
]}

Li, Dingshi ^{[1
]}

机构：

[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China

[2] Civil Aviat Flight Univ China, Sch Comp Sci, Guanghan, Peoples R China

来源：

ASIAN JOURNAL OF CONTROL | 2020年 / 22卷 / 05期

基金：

中国国家自然科学基金;

关键词：

halanay inequality; impulsive; non-autonomous; periodic solution; NEURAL-NETWORKS; SYSTEMS; INEQUALITIES; STABILIZATION;

D O I：

10.1002/asjc.2076

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this work, we first establish a new generalized Halanay inequality with impulses, which have two advantages: one is that impulses can be applied to stabilize the unstable continuous system, the other is that the requirements on the coefficients of inequality are more relaxed than those in previous works. Then, by using the inequality and Banach fixed point theorem, we will obtain some sufficient conditions ensuring the existence and exponential stability of periodic solution for impulsive delay differential equations. The sufficient conditions are easily checked in practice and have a wider adaptive range. Some examples are given to illustrate our results.

引用

页码：2129 / 2135

页数：7

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