脉冲多比例时滞细胞神经网络全局指数稳定性准则（英文）  

A Criterion for Global Exponential Stabilityof CNNs with Impulses and Multi-proportional Delays

作　　者：王小伟[1] 胡霁芳 肖玉柱[1] 宋学力[1] 

机构地区：[1]长安大学理学院,陕西西安710064

出　　处：《安徽师范大学学报（自然科学版）》2017年第4期330-335,共6页Journal of Anhui Normal University(Natural Science)

基　　金：The Youth Science and Technology Nova Program of Shanxi Province(2014KJXX-55);The Special Fund for Basic Scientific Research of Central Colleges in Chang'an University(310812163504)

摘　　要：本文主要研究脉冲多比例时滞细胞神经网络的全局指数稳定性.通过Lyapunov函数以及Young不等式,并基于n维实向量空间中的l^c-范数,我们得到细胞神经网络全局指数稳定的充分条件,最后我们用一个例子以及它的仿真来证明我们方法的有效性.This paper investigates global exponential stability of impulsive and multi-proportional delayed cellular neural networks. By means of Lyapunov function and Young inequality, we provide a sufficient condition to the global exponential stability of CNNs, which is based on l^c -norm of n - dimensional real vector space R^n. Finally, an example with its simulation is presented to illustrate that our method is effective.

关 键 词：全局指数稳定 细胞神经网络 多比例时滞 LYAPUNOV函数 YOUNG不等式 l^c-范数 

分 类 号：O175.13[理学—数学]