Global stability of delayed Hopfield neural networks underdynamical thresholds
Global stability of delayed Hopfield neural networks underdynamical thresholds
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DOI：
10.1155/ddns.2005.1
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发表时间：
2005
影响因子：
1.4
通讯作者：
Feiyu Zhang;Wan-Tong Li
中科院分区：
文献类型：
--
作者：
Feiyu Zhang;Wan-Tong Li
研究了一类具有分布时滞的细胞神经网络系统在动态阈值下的动态行为。利用拓扑度理论和Lyapunov函数，导出了平衡点的存在唯一性、全局渐近稳定性和全局指数稳定性的新判据。特别是，我们的标准概括和改进了文献中一些已知的结果。
We study dynamical behavior of a class of cellular neural networks system with distributed delays under dynamical thresholds. By using topological degree theory and Lyapunov functions, some new criteria ensuring the existence, uniqueness, global asymptotic stability, and global exponential stability of equilibrium point are derived. In particular, our criteria generalize and improve some known results in the literature.