{"title":"Affine systems on Lie groups and invariance entropy","authors":"A. Silva","doi":"10.1109/CDC.2016.7798853","DOIUrl":null,"url":null,"abstract":"In this paper we show that the outer invariance entropy for admissible pairs of an affine system on a Lie group is given by the sum of the positive real parts of the eigenvalues of a derivation D* associated to the drift of the system.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"94 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2016.7798853","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
In this paper we show that the outer invariance entropy for admissible pairs of an affine system on a Lie group is given by the sum of the positive real parts of the eigenvalues of a derivation D* associated to the drift of the system.
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