{"title":"Exponential Stability of Cellular Neural Networks with Uncertain and Time-Varying Delay","authors":"Xueli Wu, Xuan Lv, Hua Meng, Yang Li","doi":"10.1109/ICNC.2009.384","DOIUrl":null,"url":null,"abstract":"A novel method is proposed in this note for exponential stability of cellular neural networks with uncertain and time-varying delay. New delay-dependent exponential stability conditions of cellular neural network with time-varying delay is presented by constructing Lyapunov function and using linear matrix inequality (LMI). The sufficient conditions on exponential stability established in this paper, which are easily verifiable, have a wider adaptive range. Finally, a numerical example is given to demonstrate the effect of the proposed method.","PeriodicalId":235382,"journal":{"name":"2009 Fifth International Conference on Natural Computation","volume":"183 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 Fifth International Conference on Natural Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICNC.2009.384","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
A novel method is proposed in this note for exponential stability of cellular neural networks with uncertain and time-varying delay. New delay-dependent exponential stability conditions of cellular neural network with time-varying delay is presented by constructing Lyapunov function and using linear matrix inequality (LMI). The sufficient conditions on exponential stability established in this paper, which are easily verifiable, have a wider adaptive range. Finally, a numerical example is given to demonstrate the effect of the proposed method.