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| 具分布时滞BAM神经网络周期解的存在性和指数稳定性 | |
| 引用本文： | 黄小红,朱惠延,阳小丽.具分布时滞BAM神经网络周期解的存在性和指数稳定性[J].南华大学学报(自然科学版),2009,23(2):66-69. |
| 作者姓名： | 黄小红 朱惠延 阳小丽 |
| 作者单位： | 1. 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 2. 南华大学,数理学院,湖南,衡阳,421001 3. 湖南工程职业技术学院,湖南,长沙,410114 |
| 摘 要： | 利用重合度理论中的延拓定理和一些分析技巧,获得了具分布时滞的双向联想记忆(BAM)神经网络模型周期解的存在性、唯一性和全局指数稳定的新结论. |
| 关 键 词： | 神经网络 周期解 分布时滞 |
| 收稿时间： | 2008/4/22 0:00:00 |
The Existence and Global Exponential Stability ofPeriodic Solutions Neural Networks With Distributed Delays |
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| HUANG Xiao-hong,ZHU Hui-yan,YANG Xiao-li.The Existence and Global Exponential Stability ofPeriodic Solutions Neural Networks With Distributed Delays[J].Journal of Nanhua University:Science and Technology,2009,23(2):66-69. | |
| Authors: | HUANG Xiao-hong ZHU Hui-yan YANG Xiao-li |
| Institution: | 1.College of Mathematics and Economerics,Hunan University,Changsha,Hunan 410082,China;2.Hunan Vocational College of Engineering,Changsha,Hunan 410114,China;3.School of mathematics and physics,University of South China,Hengyang,Hunan 421001,China |
| Abstract: | This paper studies the dynamical behavior of bidirectional associative memory neural networks with distributed delays.Based on the continuation theorem of the coincidence degree theory and analytical technique,we obtain some sufficient conditions ensuring the existence,uniqueness,and global exponential stability of periodic solution. |
| Keywords: | neural network periodic solution distributed delays |
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