Synchronization of fractional‐order delayed neural networks with hybrid coupling |
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| Authors: | Haibo Bao Ju H Park Jinde Cao |
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| Affiliation: | 1. Department of Mathematics, School of Mathematics and Statistics, Southwest University, Chongqing, People's Republic of China;2. Department of Electrical Engineering, Nonlinear Dynamics Group, Yeungnam University, Kyongsan, Republic of Korea;3. Department of Mathematics, Southeast University, Nanjing, Jiangsu, People's Republic of China;4. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia |
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| Abstract: | This article presents new theoretical results on the synchronization for a class of fractional‐order delayed neural networks with hybrid coupling that contains constant coupling and discrete‐delay coupling. This is the first attempt to investigate the synchronization problem of fractional‐order coupled delayed neural networks. Based on the fractional‐order Lyapunov stability theorem and Kronecker product properties, sufficient criteria are established to ensure the fractional‐order coupled neural network to achieve synchronization. Numerical simulations are given to illustrate the correctness of the theoretical results. © 2015 Wiley Periodicals, Inc. Complexity 21: 106–112, 2016 |
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| Keywords: | fractional‐order delayed neural network synchronization hybrid coupling |
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