Synchronization of a Class of Fractional-Order Chaotic Neural Networks

Entropy

Liping Chen¹  Jianfeng Qu¹  Yi Chai¹  Ranchao Wu¹ 

[1] ¹School of Automation, Chongqing University, Chongqing 400044, China ²School of Mathematics, Anhui University, Hefei 230039, China ³Department of Electrical Engineering, Tshwane University of Technology, Pretoria 0001, South Africa

关键词: synchronization;    fractional-order;    chaotic neural networks;    linear feedback control;   

DOI  :  10.3390/e15083355

来源: mdpi

【 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.

【 授权许可】

CC BY   
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.