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Entropy 2016, 18(2), 55;

Stability Analysis and Synchronization for a Class of Fractional-Order Neural Networks

1,* and 1,2
Department of Applied Mathematics, Huainan Normal University, Huainan 232038, China
College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China
Author to whom correspondence should be addressed.
Received: 26 November 2015 / Accepted: 2 February 2016 / Published: 6 February 2016
(This article belongs to the Special Issue Complex and Fractional Dynamics)
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Stability of a class of fractional-order neural networks (FONNs) is analyzed in this paper. First, two sufficient conditions for convergence of the solution for such systems are obtained by utilizing Gronwall–Bellman lemma and Laplace transform technique. Then, according to the fractional-order Lyapunov second method and linear feedback control, the synchronization problem between two fractional-order chaotic neural networks is investigated. Finally, several numerical examples are presented to justify the feasibility of the proposed methods. View Full-Text
Keywords: asymptotic stability; fractional-order system; neural networks; synchronization asymptotic stability; fractional-order system; neural networks; synchronization

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Li, G.; Liu, H. Stability Analysis and Synchronization for a Class of Fractional-Order Neural Networks. Entropy 2016, 18, 55.

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