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
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
收藏
页码:636 / 645
页数:10
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