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

*Correspondence: [email protected] 1School of Mathematics & Statistics, Nanjing University of Information Science & Technology, Nanjing, 210044, China Full list of author information is available at the end of the article Abstract 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.