| 时滞Hopfield神经网络模型渐进稳定性的新准则 |
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| 引用本文： | 黄小红. 时滞Hopfield神经网络模型渐进稳定性的新准则[J]. 经济数学, 2010, 27(2): 36-40 |
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| 作者姓名： | 黄小红 |
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| 作者单位： | 湖南大学,数学与计量经济学院,湖南,长沙,410082;湖南工程职业技术学院,湖南,长沙,410114 |
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| 摘 要： | 在不考虑激励函数有界,可微和单调的情况下,利用Lyapunov泛函方法,得到了时滞Hopfield神经网络模型的平衡点存在性和全局渐近稳定性的新准则.研究结果改进和推广了以前相关文献的结果.
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| 关 键 词： | Hopfield神经网络 全局渐近稳定 Lyapunov泛函 时滞 |
New Criteria for Asympotical Stability of Hopfield Neural Networks with Delays |
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| HUANG Xiao hong. New Criteria for Asympotical Stability of Hopfield Neural Networks with Delays[J]. Mathematics in Economics, 2010, 27(2): 36-40 |
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| Authors: | HUANG Xiao hong |
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| Affiliation: | HUANG Xiao-hong,(1.College of Mathematics and Econometrics,Hunan Univ,Changsha,Hunan 410082.2.Hunan College of Engineering,Changsha,Hunan 410114) |
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| Abstract: | Without assuming the boundedness,differentiality and monotonicity of the activation function,we constructed a Lyapunov function to investigate the stability of Hopfield neural networks with delays.Some new criteria for global asympotical stability of equalibrium have been obtained.The results improve and extend some existing results. |
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| Keywords: | Hopfield neural networks global asympotical stability Lyapunov function delay |
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