切换仿射系统的初始条件独立稳定性

Q3 Engineering

IFAC-PapersOnLine Pub Date : 2025-01-01 DOI:10.1016/j.ifacol.2025.09.569

Christopher Townsend , Maria M. Seron

{"title":"切换仿射系统的初始条件独立稳定性","authors":"Christopher Townsend , Maria M. Seron","doi":"10.1016/j.ifacol.2025.09.569","DOIUrl":null,"url":null,"abstract":"<div><div>We have previously demonstrated that a switched affine system is stabilisable independently of the initial condition, i.e. there exists an asymptotically stabilising switching function which is the same for all initial conditions, if and only if there exists a stable convex combination of the sub-system matrices. This result was proven by constructing a stabilising switching function of unbounded switching frequency. The current paper proves that there exists a switching function with bounded switching frequency which stabilises a switched affine system independent of its initial condition.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"59 12","pages":"Pages 67-72"},"PeriodicalIF":0.0000,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Initial Condition Independent Stabilisability of Switched Affine Systems\",\"authors\":\"Christopher Townsend , Maria M. Seron\",\"doi\":\"10.1016/j.ifacol.2025.09.569\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We have previously demonstrated that a switched affine system is stabilisable independently of the initial condition, i.e. there exists an asymptotically stabilising switching function which is the same for all initial conditions, if and only if there exists a stable convex combination of the sub-system matrices. This result was proven by constructing a stabilising switching function of unbounded switching frequency. The current paper proves that there exists a switching function with bounded switching frequency which stabilises a switched affine system independent of its initial condition.</div></div>\",\"PeriodicalId\":37894,\"journal\":{\"name\":\"IFAC-PapersOnLine\",\"volume\":\"59 12\",\"pages\":\"Pages 67-72\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2025-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IFAC-PapersOnLine\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S240589632501345X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IFAC-PapersOnLine","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S240589632501345X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}

引用次数: 0

摘要

我们先前已经证明了一个切换仿射系统是独立于初始条件的稳定系统，即存在一个对于所有初始条件都相同的渐近稳定切换函数，当且仅当存在子系统矩阵的稳定凸组合。通过构造一个开关频率无界的稳定开关函数证明了这一结果。本文证明了存在一个开关频率有界的开关函数，使一个开关仿射系统不依赖于其初始条件而保持稳定。

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

Initial Condition Independent Stabilisability of Switched Affine Systems

We have previously demonstrated that a switched affine system is stabilisable independently of the initial condition, i.e. there exists an asymptotically stabilising switching function which is the same for all initial conditions, if and only if there exists a stable convex combination of the sub-system matrices. This result was proven by constructing a stabilising switching function of unbounded switching frequency. The current paper proves that there exists a switching function with bounded switching frequency which stabilises a switched affine system independent of its initial condition.

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

IFAC-PapersOnLine Engineering-Control and Systems Engineering

CiteScore

1.70

自引率

0.00%

发文量

1122

期刊介绍： All papers from IFAC meetings are published, in partnership with Elsevier, the IFAC Publisher, in theIFAC-PapersOnLine proceedings series hosted at the ScienceDirect web service. This series includes papers previously published in the IFAC website.The main features of the IFAC-PapersOnLine series are: -Online archive including papers from IFAC Symposia, Congresses, Conferences, and most Workshops. -All papers accepted at the meeting are published in PDF format - searchable and citable. -All papers published on the web site can be cited using the IFAC PapersOnLine ISSN and the individual paper DOI (Digital Object Identifier). The site is Open Access in nature - no charge is made to individuals for reading or downloading. Copyright of all papers belongs to IFAC and must be referenced if derivative journal papers are produced from the conference papers. All papers published in IFAC-PapersOnLine have undergone a peer review selection process according to the IFAC rules.