{"title":"Fixed-Time Stability Criteria of Cyclic Switched Nonlinear Systems","authors":"Zhibao Song","doi":"10.1109/LCSYS.2024.3497833","DOIUrl":null,"url":null,"abstract":"In this letter, a generalized fixed-time stability of nonlinear systems is firstly proposed. By the relation on the powers of Lyapunov function, a simpler, larger scaled, less conservative, and more accurate estimate of the settling-time function is provided for fixed-time stability, and it is still independent of the initial conditions. Subsequently, fixed-time stability of cyclic switched nonlinear systems is put forward under all stable modes and unstable modes, respectively.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"8 ","pages":"2505-2510"},"PeriodicalIF":2.4000,"publicationDate":"2024-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Control Systems Letters","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/10752577/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
In this letter, a generalized fixed-time stability of nonlinear systems is firstly proposed. By the relation on the powers of Lyapunov function, a simpler, larger scaled, less conservative, and more accurate estimate of the settling-time function is provided for fixed-time stability, and it is still independent of the initial conditions. Subsequently, fixed-time stability of cyclic switched nonlinear systems is put forward under all stable modes and unstable modes, respectively.