| 一类具M-P型非线性神经网络模型的渐近性与指数稳定 |
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| 引用本文： | 刘开宇,张弘强.一类具M-P型非线性神经网络模型的渐近性与指数稳定[J].湖南师范大学自然科学学报,2007,30(2):6-10. |
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| 作者姓名： | 刘开宇 张弘强 |
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| 作者单位： | 1. 中南大学数学科学与计算技术学院,中国,长沙,410083;湖南大学数学与计量经济学院,中国,长沙,410082
2. 长沙理工大学数学与计算科学学院,中国,长沙,410076 |
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| 基金项目： | 国家自然科学基金资助项目(10571032) |
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| 摘 要： | 研究了二元非线性时滞神经网络模型.获得了大阈值及临界阈值情形的渐近行为与全局指数稳定.特别是对临界情形建立了解趋于各平衡点的充要条件,其结果对相关文献的结论作了较大推广.
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| 关 键 词： | 神经网络 渐近性 全局指数稳定 |
| 文章编号： | 1000-2537（2007）02-0006-05 |
| 修稿时间： | 2007-01-15 |
Asymptotic Behavior and Exponential Stability of Solutions of Neural Network with McCulloch-Pitts Nonlinearity |
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| LIU Kai-yu,ZHANG Hong-qiang.Asymptotic Behavior and Exponential Stability of Solutions of Neural Network with McCulloch-Pitts Nonlinearity[J].Journal of Natural Science of Hunan Normal University,2007,30(2):6-10. |
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| Authors: | LIU Kai-yu ZHANG Hong-qiang |
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| Institution: | 1. College of Mathematical Sciences and Computing Technology, Central South University, Changsha 410083, China; 2. College of Mathematics and Econometrics, Hunan University, Changsha 410082, China; 3. College of Mathematics and Compution Science, Changsha University of Science and Technology, Changsha 410076, China |
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| Abstract: | Asymptotic behavior and exponential stability of solutions of neural networks with McCulloch-Pitts nonlinearity are investigated.We discuss asymptotic behaviors and global exponential stability in the different thresholds cases.In particular,some new necessary and sufficient conditions are extablished in the critical case.This results generalize the previous results given in the literature. |
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| Keywords: | neural network aymptotic behavior global exponential stability |
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