Synchronization of a Class of Fractional-Order Chaotic Neural Networks

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...

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Bibliographic Details
Published inEntropy (Basel, Switzerland) Vol. 15; no. 8; pp. 3265 - 3276
Main Authors Chen, Liping, Qu, Jianfeng, Chai, Yi, Wu, Ranchao, Qi, Guoyuan
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.08.2013
Subjects
chaotic neural networks
fractional-order
linear feedback control
synchronization
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Summary: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.
ISSN:1099-4300
1099-4300
DOI:10.3390/e15083355