夏合旦·哈力丁;蒋海军;王金铃;

• 1:新疆大学数学与系统科学学院

摘要(Abstract)：

首先,利用泛函微分方程、稳定性分析、Lyapunov泛函等理论,我们研究了具有无穷时滞连续细胞神经网络的动力学行为,并得到了其平衡点的存在性、唯一性以及全局指数稳定的充分条件;其次,我们利用半离散化方法,得到了连续系统的离散化模型,并对其动力学行为进行了分析;最后,我们通过数值模拟验证了本文的结论是真实有效的.

关键词(KeyWords)： 连续细胞神经网络;离散细胞神经网络;无穷时滞;Lyapunov泛函;全局指数稳定性;全局渐进稳定性

Abstract:

Keywords:

基金项目(Foundation): supported by National Natural Science Foundation of People’s Republic of China(61473244)

作者(Authors): 夏合旦·哈力丁;蒋海军;王金铃;

DOI: 10.13568/j.cnki.651094.2018.03.007

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