{"title":"三维李群控制系统","authors":"R. Biggs, C. C. Remsing","doi":"10.1109/ECC.2014.6862312","DOIUrl":null,"url":null,"abstract":"We consider left-invariant control affine systems evolving on three-dimensional matrix Lie groups. Equivalence and controllability are addressed. The full-rank systems are classified under detached feedback equivalence; a representative is identified for each equivalence class. A characterization of controllability on each group is then determined.","PeriodicalId":251538,"journal":{"name":"2014 European Control Conference (ECC)","volume":"134 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Control systems on three-dimensional lie groups\",\"authors\":\"R. Biggs, C. C. Remsing\",\"doi\":\"10.1109/ECC.2014.6862312\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider left-invariant control affine systems evolving on three-dimensional matrix Lie groups. Equivalence and controllability are addressed. The full-rank systems are classified under detached feedback equivalence; a representative is identified for each equivalence class. A characterization of controllability on each group is then determined.\",\"PeriodicalId\":251538,\"journal\":{\"name\":\"2014 European Control Conference (ECC)\",\"volume\":\"134 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-07-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2014 European Control Conference (ECC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ECC.2014.6862312\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 European Control Conference (ECC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ECC.2014.6862312","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We consider left-invariant control affine systems evolving on three-dimensional matrix Lie groups. Equivalence and controllability are addressed. The full-rank systems are classified under detached feedback equivalence; a representative is identified for each equivalence class. A characterization of controllability on each group is then determined.
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