{"title":"An extension of LaSalle's invariance principle for discontinuous systems","authors":"Jumei Wei, X. Mu, Rui Ma","doi":"10.1109/CCDC.2012.6244562","DOIUrl":null,"url":null,"abstract":"In this paper, discontinuous righthand sides dynamical systems are considered. An extension of LaSalle invariance principle is presented by using locally Lipschitz continuous and nonpathological Lyapunnov functions. This result is used to locate chaotic attractors of studied systems, and less restrictive conditions are required. Numerical example has been given to illustrate the correctness of the theorem.","PeriodicalId":345790,"journal":{"name":"2012 24th Chinese Control and Decision Conference (CCDC)","volume":"148 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 24th Chinese Control and Decision Conference (CCDC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCDC.2012.6244562","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
In this paper, discontinuous righthand sides dynamical systems are considered. An extension of LaSalle invariance principle is presented by using locally Lipschitz continuous and nonpathological Lyapunnov functions. This result is used to locate chaotic attractors of studied systems, and less restrictive conditions are required. Numerical example has been given to illustrate the correctness of the theorem.
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