{"title":"Feedback equivalence of nonlinear control systems with m-states and (m-1) controls","authors":"R. Gardner","doi":"10.1109/CDC.1988.194265","DOIUrl":null,"url":null,"abstract":"The problem of equivalence for control systems with m-states and (m-1) controls is interpreted as a geometric equivalence of a submanifold of the tangent bundle under the diffeomorphisms of a canonically defined geometric structure. E. Cartan's method of equivalence is executed to uncover the basis invariants of this structure.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"37 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 27th IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1988.194265","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
The problem of equivalence for control systems with m-states and (m-1) controls is interpreted as a geometric equivalence of a submanifold of the tangent bundle under the diffeomorphisms of a canonically defined geometric structure. E. Cartan's method of equivalence is executed to uncover the basis invariants of this structure.<>
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