Synchronization of fractional-order delayed neural networks with hybrid coupling

Department of Mathematics,Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaReceived 26 April 2015; revised 20 July 2015; accepted 4 August 2015This article presents new theoretical results on the synchronization for a class of fractional-order delayed neural net-works with hybrid coupling that contains constant coupling and discrete-delay coupling. This is the first attempt toinvestigate the synchronization problem of fractional-order coupled delayed neural networks. Based on thefractional-order Lyapunov stability theorem and Kronecker product properties, sufficient criteria are established toensure the fractional-order coupled neural network to achieve synchronization. Numerical simulations are given toillustrate the correctness of the theoretical results.

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