{"title":"非齐次超扭转算法的Lyapunov分析","authors":"J. Moreno","doi":"10.1109/VSS.2010.5544672","DOIUrl":null,"url":null,"abstract":"In this paper strict Lyapunov functions for Super-Twisting algorithms that are non homogeneous are proposed. Two basic forms of non homogeneous Algorithms will be studied. Since the homogeneity property cannot be used directly to prove stability of the algorithms, the availability of a Lyapunov function is of great importance for analysis and design in these cases.","PeriodicalId":407705,"journal":{"name":"2010 11th International Workshop on Variable Structure Systems (VSS)","volume":"76 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":"{\"title\":\"Lyapunov analysis of non homogeneous Super-Twisting algorithms\",\"authors\":\"J. Moreno\",\"doi\":\"10.1109/VSS.2010.5544672\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper strict Lyapunov functions for Super-Twisting algorithms that are non homogeneous are proposed. Two basic forms of non homogeneous Algorithms will be studied. Since the homogeneity property cannot be used directly to prove stability of the algorithms, the availability of a Lyapunov function is of great importance for analysis and design in these cases.\",\"PeriodicalId\":407705,\"journal\":{\"name\":\"2010 11th International Workshop on Variable Structure Systems (VSS)\",\"volume\":\"76 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-06-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"14\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 11th International Workshop on Variable Structure Systems (VSS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/VSS.2010.5544672\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 11th International Workshop on Variable Structure Systems (VSS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/VSS.2010.5544672","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Lyapunov analysis of non homogeneous Super-Twisting algorithms
In this paper strict Lyapunov functions for Super-Twisting algorithms that are non homogeneous are proposed. Two basic forms of non homogeneous Algorithms will be studied. Since the homogeneity property cannot be used directly to prove stability of the algorithms, the availability of a Lyapunov function is of great importance for analysis and design in these cases.