{"title":"一类具有时变时滞的Hopfield神经网络的全局渐近稳定性","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":"{\"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}","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}
Global asymptotic stability of a general class of Hopfield neural networks with time-varying delays
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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