{"title":"时间最优转移在一个球体上","authors":"Abraham Sharon, G. Blankenship","doi":"10.1109/CDC.1978.267989","DOIUrl":null,"url":null,"abstract":"This paper is concerned with the time optimal control problem of a system whose state is evolving on the sphere S2. The system is described by a bilinear homogeneous set of ordinary differential equations. The controls act independently and are bounded in magnitude. A closed form solution has been obtained for optimal control law by exploiting the geometric structure of the state space. The solution is of bang-bang type with at most one switch required.","PeriodicalId":375119,"journal":{"name":"1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Time optimal transfers on a sphere\",\"authors\":\"Abraham Sharon, G. Blankenship\",\"doi\":\"10.1109/CDC.1978.267989\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is concerned with the time optimal control problem of a system whose state is evolving on the sphere S2. The system is described by a bilinear homogeneous set of ordinary differential equations. The controls act independently and are bounded in magnitude. A closed form solution has been obtained for optimal control law by exploiting the geometric structure of the state space. The solution is of bang-bang type with at most one switch required.\",\"PeriodicalId\":375119,\"journal\":{\"name\":\"1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1978.267989\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1978.267989","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper is concerned with the time optimal control problem of a system whose state is evolving on the sphere S2. The system is described by a bilinear homogeneous set of ordinary differential equations. The controls act independently and are bounded in magnitude. A closed form solution has been obtained for optimal control law by exploiting the geometric structure of the state space. The solution is of bang-bang type with at most one switch required.
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