变时滞细胞神经网络的概周期解存在性与全局指数收敛性  

Existence and Global Exponential Convergence of Almost Periodic Solutions for Cellular Neural Networks with Variable Delays

作　　者：赵洪涌[1] 

机构地区：[1]新疆师范大学数学系,乌鲁木齐830054

出　　处：《工程数学学报》2005年第2期295-300,共6页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10171044)新疆师范大学科研基金会

摘　　要：利用了不动点理论和微分不等式分析等技巧,研究了变量滞细胞神经网络概周期解存在性与全局指数收敛性。去掉了相关文中有关激活函数有界性的假设,给出了较弱的并且不依赖于时滞的判别条件,增强了模型的适用性。In the paper, by using the fixed point theory and differential inequality technique we study the existence and global exponential convergence of almost periodic solutions for cellular neural networks with variable delay. The boundedness assumption of the signal function is deleted. Some conditions independent of delays are derived.

关 键 词：细胞神经网络 微分不等式 不动点理论 概周期解 全局指数收敛性 

分 类 号：O175.7[理学—数学]