Global exponential stability of impulsive cellular neural networks with time-varying delays via fixed point theory

Advances in Difference Equations

Qi Luo²  Yutian Zhang⁵ 

[1] Control, Nanjing University of Information Science &Statistics, Nanjing University of Information Science &Technology, Nanjing, China;School of Information &School of Mathematics &

关键词: neural network;    fixed point;    global exponential stability;    delay;    impulse;   

DOI  :  10.1186/1687-1847-2013-23

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This work is devoted to studying the application of fixed point theory to the stability analysis of complex neural networks. We employ the new method of contraction mapping principle to investigate the stability of impulsive cellular neural networks with time-varying delays. Some novel and concise sufficient conditions are presented to ensure the existence and uniqueness of a solution and the global exponential stability of the considered system at the same time. These conditions are easily checked and do not require the differentiability of delays.

【 授权许可】

CC BY