{"title":"On the Variation of the Nonlinearity Parameter in the “Super-Twisting” Algorithm","authors":"V. V. Fomichev, A. O. Vysotskii","doi":"10.1134/s00122661230110137","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We study the stability of a modified (with variation in the nonlinearity parameter)\n“super-twisting” algorithm. The analysis is based on majorizing the trajectories of the system with\nan arbitrary nonlinearity parameter by the trajectories of systems of the classical “super-twisting”\nalgorithm. Stability conditions for the modified systems are obtained, as well as estimates for the\nsize of the stability domain depending on system parameters.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s00122661230110137","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We study the stability of a modified (with variation in the nonlinearity parameter)
“super-twisting” algorithm. The analysis is based on majorizing the trajectories of the system with
an arbitrary nonlinearity parameter by the trajectories of systems of the classical “super-twisting”
algorithm. Stability conditions for the modified systems are obtained, as well as estimates for the
size of the stability domain depending on system parameters.
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