{"title":"广义状态空间系统的系统矩阵性质","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":"{\"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}","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}
Properties of the system matrix of a generalized state-space system
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).