{"title":"识别线性系统","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":"{\"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}","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}
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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