{"title":"Recognizing linear systems","authors":"L. Hunt, M. Luksic, R. Su","doi":"10.1109/CDC.1984.272406","DOIUrl":null,"url":null,"abstract":"Much research has been generated concerning the problem of finding necessary and sufficient conditions that a nonlinear system be equivalent to a linear system. In this paper we take a nonlinear control system with output and examine certain Lie derivatives. Necessary and sufficient conditions (which can be tested in a finite number of steps) that we actually have a linear system with linear output are determined.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 23rd IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1984.272406","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
Much research has been generated concerning the problem of finding necessary and sufficient conditions that a nonlinear system be equivalent to a linear system. In this paper we take a nonlinear control system with output and examine certain Lie derivatives. Necessary and sufficient conditions (which can be tested in a finite number of steps) that we actually have a linear system with linear output are determined.
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