{"title":"循环开关非线性系统的固定时间稳定性标准","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":"{\"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}","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}
Fixed-Time Stability Criteria of Cyclic Switched Nonlinear Systems
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.
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