| 具有时变时滞的Hopfield神经网络的全局指数渐近稳定性 |
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| 引用本文： | 陈万义. 具有时变时滞的Hopfield神经网络的全局指数渐近稳定性[J]. 南开大学学报(自然科学版), 2005, 38(5): 81-86 |
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| 作者姓名： | 陈万义 |
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| 作者单位： | 南开大学数学科学学院 天津300071 |
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| 基金项目： | SupportedbyNNSFofChina(69974022) |
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| 摘 要： | 对具有时变时滞的Hop fie ld神经网络模型,给出了时滞无关的全局指数稳定判据.去掉了输入-输出函数的可微性和有界性条件,推广了其他作者基于常数时滞的有关结果,所给的充分条件不但能保证该时滞神经网络平衡点的存在性,而且能使其全局指数渐近稳定.
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| 关 键 词： | 神经网络 时滞 全局渐近稳定 |
| 文章编号： | 0465-7942(2005)05-0081-06 |
| 收稿时间： | 2003-10-29 |
| 修稿时间： | 2003-10-29 |
Globally Exponential Asymptotic Stability of Hopfield Neural Network with Time-varying Delays |
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| Chen Wanyi. Globally Exponential Asymptotic Stability of Hopfield Neural Network with Time-varying Delays[J]. Acta Scientiarum Naturalium University Nankaiensis, 2005, 38(5): 81-86 |
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| Authors: | Chen Wanyi |
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| Affiliation: | School of Mathematical Science, Nankai University, Tianjin 300071, China |
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| Abstract: | By using the usual Hopfield neural network models,some delay-independent stability criterionfor neural dynamics with time-varying delays are derived.This paper extends previously known resurlts ob-tained by the other authors to the time-varying case.Both the differentiability and boundness conditions for theinput-output functions are removed.Our suffcient conditions here not only guarantee the existence of the equi-librium for the delayed neural network,but also assure its global exponential asymptotic stability. |
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| Keywords: | neural netowrks time-delay global asymptotic stability |
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