Synchronization of chaotic recurrent neural networks with time-varying delays using nonlinear feedback control |
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| Authors: | Baotong Cui Xuyang Lou |
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| Institution: | 1. Department of Electrical Engineering, University of Bojnord, P.O. Box 94531-1339, Bojnord, Iran;2. Department of Mathematics, Sahand University of Technology, P.O. Box 51335-1996, Tabriz, Iran;3. Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey;4. Institute of Space Sciences, P.O. Box MG-23, 76900, Magurele, Bucharest, Romania;1. Department of Mathematics, Faculty of Science, Alexandria University, PO 21568, Alexandria, Egypt;2. Mathematics & Engineering Physics Department, Faculty of Engineering, Mansoura University, PO 35516, Mansoura, Egypt;3. Mathematics Department, Faculty of Science, Hail University, Hail 2440, Saudi Arabia |
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| Abstract: | In this paper, a new method to synchronize two identical chaotic recurrent neural networks is proposed. Using the drive-response concept, a nonlinear feedback control law is derived to achieve the state synchronization of the two identical chaotic neural networks. Furthermore, based on the Lyapunov method, a delay independent sufficient synchronization condition in terms of linear matrix inequality (LMI) is obtained. A numerical example with graphical illustrations is given to illuminate the presented synchronization scheme. |
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