{"title":"时变离散和分布时滞神经网络的新的全局渐近稳定性","authors":"Yonggang Chen, Yunrui Guo, Liang Wu","doi":"10.1109/ICICIC.2008.385","DOIUrl":null,"url":null,"abstract":"In this paper, the global asymptotic stability problem is considered for a class of neural networks with time-varying discrete and distributed delays. Based on the Lyapunov functional method, and by using the new technique for estimating the upper bound of the derivative of Lyapunov functional, the novel asymptotic stability criterion is derived in terms of linear matrix inequalities (LMIs). Two numerical examples are presented to show the less conservativeness of the proposed method.","PeriodicalId":268087,"journal":{"name":"2008 3rd International Conference on Innovative Computing Information and Control","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New Global Asymptotic Stability for Neural Networks with Time-Varying Discrete and Distributed Delays\",\"authors\":\"Yonggang Chen, Yunrui Guo, Liang Wu\",\"doi\":\"10.1109/ICICIC.2008.385\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the global asymptotic stability problem is considered for a class of neural networks with time-varying discrete and distributed delays. Based on the Lyapunov functional method, and by using the new technique for estimating the upper bound of the derivative of Lyapunov functional, the novel asymptotic stability criterion is derived in terms of linear matrix inequalities (LMIs). Two numerical examples are presented to show the less conservativeness of the proposed method.\",\"PeriodicalId\":268087,\"journal\":{\"name\":\"2008 3rd International Conference on Innovative Computing Information and Control\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-06-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 3rd International Conference on Innovative Computing Information and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICICIC.2008.385\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 3rd International Conference on Innovative Computing Information and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICICIC.2008.385","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New Global Asymptotic Stability for Neural Networks with Time-Varying Discrete and Distributed Delays
In this paper, the global asymptotic stability problem is considered for a class of neural networks with time-varying discrete and distributed delays. Based on the Lyapunov functional method, and by using the new technique for estimating the upper bound of the derivative of Lyapunov functional, the novel asymptotic stability criterion is derived in terms of linear matrix inequalities (LMIs). Two numerical examples are presented to show the less conservativeness of the proposed method.