New negative-determination conditions for cubic polynomials with applications to time-varying delay systems

IF 2.9 2区 数学 Q1 MATHEMATICS, APPLIED Applied Mathematics Letters Pub Date : 2024-10-10 DOI:10.1016/j.aml.2024.109336
Seakweng Vong , Han Xue , Yuanyuan Zhang , Zhongsheng Yao
{"title":"New negative-determination conditions for cubic polynomials with applications to time-varying delay systems","authors":"Seakweng Vong ,&nbsp;Han Xue ,&nbsp;Yuanyuan Zhang ,&nbsp;Zhongsheng Yao","doi":"10.1016/j.aml.2024.109336","DOIUrl":null,"url":null,"abstract":"<div><div>This paper studies the stability of time delay systems. The Lyapunov-Krasovskii functional (LKF) method is used for our study, in which a novel negative-determination criterion for cubic polynomials is proposed. An improved stability criterion of time delay system is obtained by the new method. The effectiveness of the proposed method is verified by some numerical examples and reduced conservativeness can be obtained.</div></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":"160 ","pages":"Article 109336"},"PeriodicalIF":2.9000,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics Letters","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0893965924003562","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0

Abstract

This paper studies the stability of time delay systems. The Lyapunov-Krasovskii functional (LKF) method is used for our study, in which a novel negative-determination criterion for cubic polynomials is proposed. An improved stability criterion of time delay system is obtained by the new method. The effectiveness of the proposed method is verified by some numerical examples and reduced conservativeness can be obtained.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
立方多项式的新负确定条件及其在时变延迟系统中的应用
本文研究时延系统的稳定性。研究采用了 Lyapunov-Krasovskii 函数(LKF)方法,其中提出了一种新的立方多项式负判定准则。通过新方法得到了改进的时延系统稳定性准则。通过一些数值实例验证了所提方法的有效性,并可降低保守性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
Applied Mathematics Letters
Applied Mathematics Letters 数学-应用数学
CiteScore
7.70
自引率
5.40%
发文量
347
审稿时长
10 days
期刊介绍: The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.
期刊最新文献
Spatiotemporal dynamics in a three-component predator–prey model Global [formula omitted]-estimates and dissipative [formula omitted]-estimates of solutions for retarded reaction–diffusion equations Acceleration of self-consistent field iteration for Kohn–Sham density functional theory A quadrature formula on triangular domains via an interpolation-regression approach Normalized ground state solutions of the biharmonic Schrödinger equation with general mass supercritical nonlinearities
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1