{"title":"Global asymptotic stability of anti-periodic solution for impulsive Cohen-Grossberg neural networks with multiple delays","authors":"Q. Ma, Xinyu Pan, Sitian Qin","doi":"10.1109/ICICIP.2016.7885906","DOIUrl":null,"url":null,"abstract":"The global asymptotic stability of anti-periodic solution for Cohen-Grossberg neural networks (CGNNs) is investigated. The CGNNs we consider have impulsive effects and multiple delays. By constructing a suitable Lyapunov function, we prove the existence of the globally asymptotically stable anti-periodic solution for impulsive CGNNs. Several numerical examples are presented to illustrate the validity and improvement of our results.","PeriodicalId":226381,"journal":{"name":"2016 Seventh International Conference on Intelligent Control and Information Processing (ICICIP)","volume":"3 6","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 Seventh International Conference on Intelligent Control and Information Processing (ICICIP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICICIP.2016.7885906","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
The global asymptotic stability of anti-periodic solution for Cohen-Grossberg neural networks (CGNNs) is investigated. The CGNNs we consider have impulsive effects and multiple delays. By constructing a suitable Lyapunov function, we prove the existence of the globally asymptotically stable anti-periodic solution for impulsive CGNNs. Several numerical examples are presented to illustrate the validity and improvement of our results.