具常数时滞细胞神经网络概周期解  

Existence and Exponential Stability of the Almost Periodic Solutions in Cellular Neural Networks with Constant Delays

作　　者：李必文[1] 

机构地区：[1]华中科技大学数学系

出　　处：《生物数学学报》2005年第4期437-442,共6页Journal of Biomathematics

基　　金：湖北省教育厅重大科研基金项目(2004Z001);湖北省教育厅优秀创新团队项目;华中科技大学博士后基金项目

摘　　要：利用矩阵不等式的分析技巧和Banach空间中不动点定理,得到了具常数时滞细 胞神经网络概周期解的存在性、唯一性和全局指数稳定性。Sufficient conditions for the existence uniqueness and exponential stability of the almost periodic solutions in the cellular neural networks with constant delays are established by using the fixed point theorem of Banach space, nonnegative matrices theory and differential in equality technique, with extend improve some important results in the literature.

关 键 词：细胞神经网络 时滞 概周期解 存在性和唯一性 指数稳定性 

分 类 号：O175.13[理学—数学]