| 具有联想功能的时滞神经网络的渐近稳定性 |
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| 引用本文： | 张刚,廖晓昕. 具有联想功能的时滞神经网络的渐近稳定性[J]. 华中科技大学学报(自然科学版), 2001, 29(10): 31-33 |
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| 作者姓名： | 张刚 廖晓昕 |
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| 作者单位： | 华中科技大学控制科学与工程系;华中科技大学控制科学与工程系 |
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| 基金项目： | 国家自然科学基金资助项目 (698740 86),国家教育部博士点专项基金资助项目 (970 4872 2 ) . |
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| 摘 要： | 利用Razumikhin条件和具体的Lyapunov函数,讨论了Hopfield模型平衡点的稳定情况。对两类不同的时滞模型进行的不同的研究,得到了时滞相关和时滞无关的条件：时滞相关条件是当时滞适当小时,滞后模型和无滞后模型具有相同的稳定性,并给出了滞后界限的估计;时滞无关的条件则要求系数有较强的条件。
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| 关 键 词： | 神经网络 时滞 Lyapunov函数 渐近稳定 |
| 文章编号： | 1000-8616(2001)10-0031-03 |
| 修稿时间： | 2001-03-08 |
Asymptotical Stability of Associative Neural Networks with Time-delays |
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| Zhang Gang Liao Xiaoxin. Asymptotical Stability of Associative Neural Networks with Time-delays[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 2001, 29(10): 31-33 |
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| Authors: | Zhang Gang Liao Xiaoxin |
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| Affiliation: | Zhang Gang Liao Xiaoxin |
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| Abstract: | By using Razumatic conditions, two general results about stability of analog neural networks with time delays are obtained, and the previously known result is extended. The results include both delays dependent and delays independent. One is that both HNN with time delays and that without time delays have the same property of stability if time is delayed for proper hours, and the other is that the parameters are constrained. |
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| Keywords: | neural networks time delays Lyapunov function asympotical stability |
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