Open AccessThis article is
- freely available
Synchronization of a Class of Fractional-Order Chaotic Neural Networks
School of Automation, Chongqing University, Chongqing 400044, China
School of Mathematics, Anhui University, Hefei 230039, China
Department of Electrical Engineering, Tshwane University of Technology, Pretoria 0001, South Africa
* Author to whom correspondence should be addressed.
Received: 5 June 2013; in revised form: 3 August 2013 / Accepted: 5 August 2013 / Published: 14 August 2013
Abstract: 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.
Keywords: synchronization; fractional-order; chaotic neural networks; linear feedback control
Citations to this Article
Cite This Article
MDPI and ACS Style
Chen, L.; Qu, J.; Chai, Y.; Wu, R.; Qi, G. Synchronization of a Class of Fractional-Order Chaotic Neural Networks. Entropy 2013, 15, 3265-3276.
Chen L, Qu J, Chai Y, Wu R, Qi G. Synchronization of a Class of Fractional-Order Chaotic Neural Networks. Entropy. 2013; 15(8):3265-3276.
Chen, Liping; Qu, Jianfeng; Chai, Yi; Wu, Ranchao; Qi, Guoyuan. 2013. "Synchronization of a Class of Fractional-Order Chaotic Neural Networks." Entropy 15, no. 8: 3265-3276.