| 基于一类T-模的模糊Hopfield网络的稳定性分析 |
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| 引用本文： | 张义荣,鲜明,肖顺平,刘普寅.基于一类T-模的模糊Hopfield网络的稳定性分析[J].电子学报,2002,30(1):30-33. |
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| 作者姓名： | 张义荣 鲜明 肖顺平 刘普寅 |
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| 作者单位： | 1. 国防科技大学电子科学与工程学院,湖南长沙 410073;2. 国防科技大学理学院,湖南长沙 410073 |
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| 摘 要： | 本文建立了基于一类T-模的一种动态模糊神经网络-(∨,T)Hopfield网.文章首先证明了系统本身的稳定性及系统平衡态的Lyapunov稳定性,然后建立了吸引子的一个非平凡吸引域,使系统具有良好的容错性.最后,通过例子验证了得到的结论.
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| 关 键 词： | Hopfield网 T-模 吸引子 吸引域 Lyapunov稳定性 |
| 文章编号： | 0372-2112(2002)01-0030-04 |
| 收稿时间： | 2000-04-28 |
Stability Analysis of a Class of Fuzzy Hopfield Networks Based on T-Norms |
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| ZHANG Yi rong ,LIU Pu yin ,XIAN Ming ,XIAO Shun ping.Stability Analysis of a Class of Fuzzy Hopfield Networks Based on T-Norms[J].Acta Electronica Sinica,2002,30(1):30-33. |
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| Authors: | ZHANG Yi rong LIU Pu yin XIAN Ming XIAO Shun ping |
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| Affiliation: | 1. School of Electronic Science and Engineering,National University of Defense Technology,Changsha,Hunan 410073,China;2. School of Science,National University of Defense Technology,Changsha,Hunan 410073,China |
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| Abstract: | The paper sets up a class of dynamical fuzzy neural network systems,i.e.so-called (∨,T) fuzzy Hopfield networks based on L-T-norms.We prove the uniform stability of the system and the Lyapunov stability of the equilibrium points at first,then obtain a nontrivially attractive basin of the attractor so that the system has good fault-tolerance.Finally,simulation examples demonstrate our conclusions. |
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| Keywords: | Hopfield networks T norms attractor attractive basin fault tolerance Lyapunov stability |
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