Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays |
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Authors: | Email author" target="_blank">Wang?Linshan?Email author Xu?Daoyi |
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Affiliation: | 1. Department of Mathematics, Ocean University of China, Qingdao 266071, China;Department of Mathe matics, Liaocheng University, Liaocheng 252059, China;Mathematical College,Sichuan University,Chengdu 610064,China 2. Mathematical College,Sichuan University,Chengdu 610064,China |
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Abstract: | The authors analyze the existence of the equilibrium point and global exponential stability for Hopfield reaction-diffusion neural networks with time-varying delays by means of the topological degree theory and generalized Halanay inequality. Since the diffusion phenomena and time delay could not be ignored in neural networks and electric circuits, the model presented here is close to the actual systems, and the sufficient conditions on global exponential stability established in this paper, which are easily verifiable, have a wider adaptive range. |
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Keywords: | neural networks reaction-diffusion delay stability |
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