{"title":"具有m-状态和(m-1)控制的非线性控制系统的反馈等价","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":"{\"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}","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}
Feedback equivalence of nonlinear control systems with m-states and (m-1) controls
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.<>