具变时滞分流抑制型细胞神经网络的伪概周期解及吸引性  

Pseudo almost periodic attractor of shunting inhibitory cellular neural networks with time-varying delay

作　　者：孙德献[1] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350108

出　　处：《福州大学学报（自然科学版）》2011年第2期180-186,共7页Journal of Fuzhou University(Natural Science Edition)

基　　金：福建省教育厅科研资助项目(JB08025)

摘　　要：研究了分流抑制型细胞神经网络系统,得到其伪周期解存在性及其唯一性的充分条件,推广并改进了早期有关这方面研究的结果.通过构造Lyapunov函数并利用Banach压缩映像原理,得到本系统全局指数型稳定性解的充分条件.In this paper, shunting inhibitory cellular neural networks are studied. Some sufficient criteria are obtained for the existence and uniqueness of pseudo almost periodic solution of this system. Our results improve and generalize those of the previous results. This is the first paper considering the pseudo almost periodic SICNNs. Furthermore, several methods are applied to establish sufficient criteria for the globally exponential stability of this system. The approaches are based on constructing suitable Lyapunov funetionals and the well - known Banaeh contraction mapping principle.

关 键 词：全局指数型稳定 LYAPUNOV函数 伪概周期解 SICNNs 

分 类 号：O175.14[理学—数学]