S-分布时滞静态神经网络模型的不变集和吸引集  

Invariant and attracting sets of static neural networks with S-type distributed time delays

作　　者：马亚锋[1] 王林山[1] 

机构地区：[1]中国海洋大学数学系,山东青岛266071

出　　处：《黑龙江大学自然科学学报》2006年第4期506-508,共3页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(10171072)

摘　　要：用非负矩阵和微分不等式技巧研究了一类S-分布时滞静态神经网络模型的不变集和吸引集,给出不变集和吸引集的空间位置,并且用不变集和吸引集给出了对吸引子存在范围的估计以及平衡点是全局吸引子的充分条件.Invariant and attracting sets of static neural networks with S - type distributed delays are studied by using nonnegative matrices and differential inequalities technique. Spatial positions are given for the invariant and attracting sets. An estimate of the existence range of attractors is provided by using invariant and attracting sets. The sufficient condition of the equilibrium point being the global attractor is also given.

关 键 词：静态神经网络 S-分布时滞 不变集 吸引集 

分 类 号：O177[理学—数学]