| 具有离散和分布时滞的中立型细胞神经网络的全局渐近稳定性 |
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| 引用本文： | 黄元清,许金快,钟守铭. 具有离散和分布时滞的中立型细胞神经网络的全局渐近稳定性[J]. 四川理工学院学报(自然科学版), 2010, 23(2): 163-167 |
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| 作者姓名： | 黄元清 许金快 钟守铭 |
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| 作者单位： | 1. 四川理工学院计算机学院,四川,自贡,643000
2. 电子科技大学应用数学学院,成都,610054 |
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| 基金项目： | 国家重点基础研究发展规划(973计划) |
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| 摘 要： | 文章研究了一类具有离散和分布时滞的中立型细胞神经网络的全局渐近稳定性问题,首先利用拓扑度原理等相关知识,证明了系统的平衡点的存在唯一性,然后通过构造Lyapunov-Kra-sovskii泛函,得出了具有离散和分布时滞的中立型神经网络系统的平凡解的全局指数稳定性的判别条件。
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| 关 键 词： | 时滞 神经网络 全局渐近稳定性 拓扑度原理 |
Globally Asymptotic Stability of Neutral Cellular Neural Networks with Discrete and Distributed Delays |
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| HUANG Yuan-qing,XU Jin-kuai,ZHONG Shou-ming. Globally Asymptotic Stability of Neutral Cellular Neural Networks with Discrete and Distributed Delays[J]. Journal of Sichuan University of Science & Engineering(Natural Science Editton), 2010, 23(2): 163-167 |
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| Authors: | HUANG Yuan-qing XU Jin-kuai ZHONG Shou-ming |
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| Affiliation: | HUANG Yuan-qing1,XU Jin-kuai2,ZHONG Shou-ming2 (1.School of Computer Science,Sichuan University of Science & Engineering,Zigong 643000,China,2.School of Applied Mathematics,University of Electronic Science , Technology of China,Chengdu 610054,China) |
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| Abstract: | In this paper,the problem of globally asymptotic stability for neutral cellular neural networks with discrete delays and distributed delays is studied.By using topological degree theory,sufficient conditions ensuring the existence uniqueness of equilibrium of neutral cellular neural networks are proved.By using the Lyapunov-Krasovskii function,a sufficient codition of global asymptotic stability for neutral cellular neural networks with discrete delays and distributed delays is derived. |
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| Keywords: | delay neural networks global asymptotic stability topological degree theory |
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