时变离散和分布时滞神经网络的新的全局渐近稳定性

Yonggang Chen, Yunrui Guo, Liang Wu
{"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}
引用次数: 0

摘要

研究了一类具有时变离散时滞和分布时滞的神经网络的全局渐近稳定性问题。基于Lyapunov泛函方法,利用估计Lyapunov泛函导数上界的新技术,导出了基于线性矩阵不等式的新的渐近稳定性判据。算例表明,该方法具有较好的保守性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信
小红书