Synchronization of a Class of Fractional-Order Chaotic Neural Networks

被引：66
|
作者：
Chen, Liping [1 ]
Qu, Jianfeng [1 ]
Chai, Yi [1 ]
Wu, Ranchao [2 ]
Qi, Guoyuan [3 ]
机构：
[1] Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R China
[2] Anhui Univ, Sch Math, Hefei 230039, Peoples R China
[3] Tshwane Univ Technol, Dept Elect Engn, ZA-0001 Pretoria, South Africa
来源：
ENTROPY | 2013年 / 15卷 / 08期
基金：
中国国家自然科学基金;
关键词：
synchronization; fractional-order; chaotic neural networks; linear feedback control; DYNAMICS;
D O I：
10.3390/e15083355
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The synchronization problem is studied in this paper for a class of fractional-order chaotic neural networks. By using the Mittag-Leffler function, M-matrix and linear feedback control, a sufficient condition is developed ensuring the synchronization of such neural models with the Caputo fractional derivatives. The synchronization condition is easy to verify, implement and only relies on system structure. Furthermore, the theoretical results are applied to a typical fractional-order chaotic Hopfield neural network, and numerical simulation demonstrates the effectiveness and feasibility of the proposed method.
引用
收藏
页码：3265 / 3276
页数：12
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