New stability conditions for neural networks with constant and variable delays |
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Institution: | 1. School of Science, Chongqing University of Technology, Chongqing 400054, PR China;2. School of Mathematics and Statistics, Yangtze Normal University, Fuling 408100, PR China;3. School of Mathematics Science, University of Electronic Science and Technology of China, Chengdu 611731, PR China;4. College of Automation and Electronic Engineering, Qingdao Universtiy of Science and Technology, Qingdao 266042, PR China;1. Systems Engineering Institute, South China University of Technology, Guangzhou 510640, PR China;2. Department of Computational Science, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, PR China |
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Abstract: | In this paper, by utilizing Lyapunov functional method, we analyze global asymptotic stability of neural networks with constant delays. A new sufficient condition ensuring global asymptotic stability of the unique equilibrium point of delayed neural networks is obtained. Furthermore, based on the method of delay differential inequality, the conditions checking global exponential stability of the equilibrium point of neural networks with variable delays are given. The results extend and improve the earlier publications. |
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