线性时滞系统的Lyapunov稳定性检验

IF 7.3 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Annual Reviews in Control Pub Date : 2022-07-25 DOI:10.48550/arXiv.2207.12462

Sabine Mondi'e, A. Egorov, M. A. Gómez

{"title":"线性时滞系统的Lyapunov稳定性检验","authors":"Sabine Mondi'e, A. Egorov, M. A. Gómez","doi":"10.48550/arXiv.2207.12462","DOIUrl":null,"url":null,"abstract":"An overview of stability conditions in terms of the Lyapunov matrix for time-delay systems is presented. The main results and proof are presented in details for the case of systems with multiple delays. The state of the art, ongoing research and potential extensions to other classes of delay systems are discussed.","PeriodicalId":50750,"journal":{"name":"Annual Reviews in Control","volume":"6 1","pages":"68-80"},"PeriodicalIF":7.3000,"publicationDate":"2022-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Lyapunov stability tests for linear time-delay systems\",\"authors\":\"Sabine Mondi'e, A. Egorov, M. A. Gómez\",\"doi\":\"10.48550/arXiv.2207.12462\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An overview of stability conditions in terms of the Lyapunov matrix for time-delay systems is presented. The main results and proof are presented in details for the case of systems with multiple delays. The state of the art, ongoing research and potential extensions to other classes of delay systems are discussed.\",\"PeriodicalId\":50750,\"journal\":{\"name\":\"Annual Reviews in Control\",\"volume\":\"6 1\",\"pages\":\"68-80\"},\"PeriodicalIF\":7.3000,\"publicationDate\":\"2022-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annual Reviews in Control\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.48550/arXiv.2207.12462\",\"RegionNum\":2,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annual Reviews in Control","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.48550/arXiv.2207.12462","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}

引用次数: 10

摘要

从李雅普诺夫矩阵的角度概述了时滞系统的稳定性条件。详细给出了多时延系统的主要结果和证明。讨论了该方法的现状、正在进行的研究以及对其他类型延迟系统的潜在扩展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Lyapunov stability tests for linear time-delay systems

An overview of stability conditions in terms of the Lyapunov matrix for time-delay systems is presented. The main results and proof are presented in details for the case of systems with multiple delays. The state of the art, ongoing research and potential extensions to other classes of delay systems are discussed.

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

Annual Reviews in Control 工程技术-自动化与控制系统

CiteScore

19.00

自引率

2.10%

发文量

审稿时长

36 days

期刊介绍： The field of Control is changing very fast now with technology-driven “societal grand challenges” and with the deployment of new digital technologies. The aim of Annual Reviews in Control is to provide comprehensive and visionary views of the field of Control, by publishing the following types of review articles: Survey Article: Review papers on main methodologies or technical advances adding considerable technical value to the state of the art. Note that papers which purely rely on mechanistic searches and lack comprehensive analysis providing a clear contribution to the field will be rejected. Vision Article: Cutting-edge and emerging topics with visionary perspective on the future of the field or how it will bridge multiple disciplines, and Tutorial research Article: Fundamental guides for future studies.