{"title":"非线性系统的右素数分解","authors":"M. Verma, L. Hunt","doi":"10.1109/CDC.1989.70270","DOIUrl":null,"url":null,"abstract":"The problem of constructing right coprime factorizations of a nonlinear system is considered. It is assumed that the nonlinear system is specified in terms of a state-space realization, which is I/O detectable. It is shown that the existence of a stabilizing state feedback implies the existence of a right coprime factorization for the nonlinear system. An application to the class of feedback linearizable nonlinear systems is discussed.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Right coprime factorizations of nonlinear systems\",\"authors\":\"M. Verma, L. Hunt\",\"doi\":\"10.1109/CDC.1989.70270\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The problem of constructing right coprime factorizations of a nonlinear system is considered. It is assumed that the nonlinear system is specified in terms of a state-space realization, which is I/O detectable. It is shown that the existence of a stabilizing state feedback implies the existence of a right coprime factorization for the nonlinear system. An application to the class of feedback linearizable nonlinear systems is discussed.<<ETX>>\",\"PeriodicalId\":156565,\"journal\":{\"name\":\"Proceedings of the 28th IEEE Conference on Decision and Control,\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1989-12-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 28th IEEE Conference on Decision and Control,\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1989.70270\",\"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 28th IEEE Conference on Decision and Control,","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1989.70270","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The problem of constructing right coprime factorizations of a nonlinear system is considered. It is assumed that the nonlinear system is specified in terms of a state-space realization, which is I/O detectable. It is shown that the existence of a stabilizing state feedback implies the existence of a right coprime factorization for the nonlinear system. An application to the class of feedback linearizable nonlinear systems is discussed.<>
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