{"title":"Properties of the system matrix of a generalized state-space system","authors":"P. Dooren, G. Verghese, T. Kailath","doi":"10.1080/00207178008961098","DOIUrl":null,"url":null,"abstract":"In this short paper we show a number of properties of generalized state-space systems {sE-A,B,C,D} which can be constructed for any rational matrix R(s). The Kronecker structure of such systems is proven to yield information about the pole-zero structure (finite and infinite) and about the null space structure of R(s).","PeriodicalId":375119,"journal":{"name":"1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes","volume":"446 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1980-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"180","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00207178008961098","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 180
Abstract
In this short paper we show a number of properties of generalized state-space systems {sE-A,B,C,D} which can be constructed for any rational matrix R(s). The Kronecker structure of such systems is proven to yield information about the pole-zero structure (finite and infinite) and about the null space structure of R(s).