{"title":"李群上的仿射系统与不变性熵","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":"{\"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}","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}
Affine systems on Lie groups and invariance entropy
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.