Synchronization of a class of fractional-order neural networks with multiple time delays by comparison principles

被引：26

作者：

Zhang, Weiwei ^{[1
]}

Wu, Ranchao ^{[2
]}

Cao, Jinde ^{[3
,4
]}

Alsaedi, Ahmed ^{[4
]}

Hayat, Tasawar ^{[4
,5
]}

机构：

[1] Anqing Normal Univ, Sch Math & Computat Sci, Anqing 246011, Peoples R China

[2] Anhui Univ, Sch Math, Hefei 230039, Peoples R China

[3] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

[4] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

[5] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2017年 / 22卷 / 05期

基金：

中国国家自然科学基金;

关键词：

fractional-order neural networks; comparison principles; multiple time delays; synchronization; CLUSTER SYNCHRONIZATION; LYAPUNOV FUNCTIONS; STABILITY;

D O I：

10.15388/NA.2017.5.4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the synchronization of fractional-order neural networks with multiple time delays. Based on an inequality of fractional-order and comparison principles of linear fractional equation with multiple time delays, some sufficient conditions for synchronization of master-slave systems are obtained. Example and related simulations are given to demonstrate the feasibility of the theoretical results.

引用

页码：636 / 645

页数：10

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