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时滞Hopfield神经网络的稳定性研究
  • 期刊名称：南京大学学报数学半年刊，24（2007）：363-375
  • 时间：0
  • 分类：O175.13[理学—数学;理学—基础数学]
  • 作者机构：[1]中国矿业大学理学院,徐州221008
  • 相关基金：国家自然科学基金（10771212）项目资助.
  • 相关项目：跨共振点非耗散振动周期解存在性研究
关键词： HOPFIELD神经网络, 微分方程, 稳定性, 平衡点, LYAPUNOV泛函, Hopfield neural networks, differential equation, stability, equilibrium, Lyapunov function
中文摘要：

本文讨论了具有离散时滞和具有连续分布时滞的Hopfield神经网络微分系统平衡点的全局渐近稳定性．去掉了有关文献中关于fi在R上有界性、可微性的条件，给出了更弱、实用性较强的判定平衡点的存在唯一性及全局渐近稳定性的条件．

英文摘要：

The global asymptotic stability of the equilibrium for Hopfield neural networks differential equation with discrete delays and with continuously distributed delays are considered respectively. Some sufficient conditions given in this paper for the existence of global asymptotic stable equilibrium of the networks are weaker than those given in quoted articles.

同期刊论文项目
跨共振点非耗散振动周期解存在性研究
期刊论文 74
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