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  

Globally Asymptotic Stability of Neutral Cellular Neural Networks with Discrete and Distributed Delays

作　　者：黄元清[1] 许金快[2] 钟守铭[2] 

机构地区：[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

出　　处：《四川理工学院学报（自然科学版）》2010年第2期163-167,共5页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

基　　金：国家973项目资助(2010CB732501)

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。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 coalition of global asymptotic stability for neutral cellular neural networks with discrete delays and distributed delays is derived.

关 键 词：时滞 神经网络 全局渐近稳定性 拓扑度原理 

分 类 号：O231[理学—运筹学与控制论]