摘要
研究了一类具有S分布时滞细胞神经网络的全局指数稳定性。利用Banach不动点定理,通过构造Lyapunov泛函,结合Hardy不等式和推广的Halanay时滞微分不等式,给出了全局指数稳定性的充分条件,并做出了比较说明。
Global exponential stability of cellular neural networks with S-distributed delays is consid- ered. A sufficient condition to guarantee the global exponential stability is obtained by using Banach＇s fixed point theorem, constructing Lyapunov＇s functional and combining with Hardy inequality and the promotion of the Halanay＇s delay differential inequality. And made comparison to illustrate the result.
出处
《中国海洋大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第3期96-100,共5页
Periodical of Ocean University of China
基金
国家自然科学基金项目(11171374)
山东省自然科学基金重点项目(ZR2011AZ001)资助
关键词
细胞神经网络
S分布时滞
LYAPUNOV泛函
全局指数稳定性
neural networks
S-distributed delays
Lyapunov function
global exponential stability AMS Subject Classification： 39A11
