{"title":"Global asymptotic stability of a general class of Hopfield neural networks with time-varying delays","authors":"Chaojin Fu, Dahu Li, Shuping Chen","doi":"10.1109/ICIST.2011.5765240","DOIUrl":null,"url":null,"abstract":"In this paper, we address the problem of a unique equilibrium point and present global asymptotic stability for Hopfield neural networks with time-varying delays. By constructing a Lyapunov functional, a new stability criterion for the network is established in terms of differential inequality technique. Finally, an illustrative numerical example is included to show the effectiveness of proposed criterion.","PeriodicalId":6408,"journal":{"name":"2009 International Conference on Environmental Science and Information Application Technology","volume":"19 1","pages":"217-220"},"PeriodicalIF":0.0000,"publicationDate":"2011-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Conference on Environmental Science and Information Application Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIST.2011.5765240","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this paper, we address the problem of a unique equilibrium point and present global asymptotic stability for Hopfield neural networks with time-varying delays. By constructing a Lyapunov functional, a new stability criterion for the network is established in terms of differential inequality technique. Finally, an illustrative numerical example is included to show the effectiveness of proposed criterion.
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