{"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":null,"pages":null},"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}
引用次数: 7
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.
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