Existence and global exponential stability of almost periodic solution for delayed competitive neural networks with discontinuous activations |
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| Authors: | Yanxiang Tan Ke Jing |
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| Institution: | 1. College of Mathematics and Computing Science, University of Science and Technology, Changsha, Hunan, China;2. School of Mathematics and Statistics, Fuyang Normal University, Fuyang, Anhui, China |
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| Abstract: | In this paper, we study a class of delayed competitive neural networks with discontinuous activations. Without assuming the boundedness and local Lipschizian on the activation functions, some new criteria ensuring the existence and global exponential stability of almost periodic solutions for the neural network model considered in this work are established by constructing some suitable Lyapunov functionals and employing the theory of nonsmooth analysis. Finally, we present some applications and numerical examples with simulations to show the effectiveness of our main results. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | delay competitive neural networks discontinuous activation almost periodic solution global exponential stability |
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