{"title":"线性时变系统的素数分解","authors":"P. Khargonekar, M. Rotea","doi":"10.1109/ACC.1988.4172863","DOIUrl":null,"url":null,"abstract":"New results on coprime factorizations for continuous-time linear time-varying systems are presented. It is shown that a linear time-varying system admits a coprime factorization if and only if it is stabilizable and detectable, or if and only if it is internally stabilizable via dynamic output feedback. State-space formulae for coprime factorizations are given.","PeriodicalId":6395,"journal":{"name":"1988 American Control Conference","volume":"1 1","pages":"848-851"},"PeriodicalIF":0.0000,"publicationDate":"1988-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":"{\"title\":\"Coprime Factorization for Linear Time-Varying Systems\",\"authors\":\"P. Khargonekar, M. Rotea\",\"doi\":\"10.1109/ACC.1988.4172863\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"New results on coprime factorizations for continuous-time linear time-varying systems are presented. It is shown that a linear time-varying system admits a coprime factorization if and only if it is stabilizable and detectable, or if and only if it is internally stabilizable via dynamic output feedback. State-space formulae for coprime factorizations are given.\",\"PeriodicalId\":6395,\"journal\":{\"name\":\"1988 American Control Conference\",\"volume\":\"1 1\",\"pages\":\"848-851\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-06-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"14\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1988 American Control Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ACC.1988.4172863\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1988 American Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACC.1988.4172863","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Coprime Factorization for Linear Time-Varying Systems
New results on coprime factorizations for continuous-time linear time-varying systems are presented. It is shown that a linear time-varying system admits a coprime factorization if and only if it is stabilizable and detectable, or if and only if it is internally stabilizable via dynamic output feedback. State-space formulae for coprime factorizations are given.
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