{"title":"一般n-拖车,差分平整度和等效","authors":"C. Altafini","doi":"10.1109/CDC.1999.831237","DOIUrl":null,"url":null,"abstract":"We show, via an example, a possible way to place the concept of differential flatness into the more general setting of equivalence a la Cartan (1953). In particular we show that a general n-trailer, which is not differentially flat, is anyway equivalent to its differentially flat counterpart, namely the standard n-trailer, along any smooth input trajectory.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":"98 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"General n-trailer, differential flatness and equivalence\",\"authors\":\"C. Altafini\",\"doi\":\"10.1109/CDC.1999.831237\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show, via an example, a possible way to place the concept of differential flatness into the more general setting of equivalence a la Cartan (1953). In particular we show that a general n-trailer, which is not differentially flat, is anyway equivalent to its differentially flat counterpart, namely the standard n-trailer, along any smooth input trajectory.\",\"PeriodicalId\":137513,\"journal\":{\"name\":\"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)\",\"volume\":\"98 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-12-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1999.831237\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1999.831237","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
摘要
通过一个例子,我们展示了一种可能的方法,可以将微分平坦度的概念放入更一般的等价a la Cartan(1953)中。特别地,我们证明了一个一般的n-拖车,它不是微分平坦的,无论如何都等于它的微分平坦的对应物,即标准n-拖车,沿着任何光滑的输入轨迹。
General n-trailer, differential flatness and equivalence
We show, via an example, a possible way to place the concept of differential flatness into the more general setting of equivalence a la Cartan (1953). In particular we show that a general n-trailer, which is not differentially flat, is anyway equivalent to its differentially flat counterpart, namely the standard n-trailer, along any smooth input trajectory.