{"title":"广义系统转移矩阵的最小分解","authors":"C. Flutur, C. Oara","doi":"10.1109/ICSTCC.2014.6982383","DOIUrl":null,"url":null,"abstract":"Given a generalized system whose transfer matrix function may be improper or may be polynomial, we provide necessary and sufficient conditions under which a minimal factorization does exist. The conditions are formulated in terms of deflating subspaces of pencils related to a special type of realisation, called centered, which allows to efficiently cater for poles and/or zeroes at infinity.","PeriodicalId":309866,"journal":{"name":"2014 18th International Conference on System Theory, Control and Computing (ICSTCC)","volume":"60 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Minimal factorization of transfer matrices for generalized systems\",\"authors\":\"C. Flutur, C. Oara\",\"doi\":\"10.1109/ICSTCC.2014.6982383\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Given a generalized system whose transfer matrix function may be improper or may be polynomial, we provide necessary and sufficient conditions under which a minimal factorization does exist. The conditions are formulated in terms of deflating subspaces of pencils related to a special type of realisation, called centered, which allows to efficiently cater for poles and/or zeroes at infinity.\",\"PeriodicalId\":309866,\"journal\":{\"name\":\"2014 18th International Conference on System Theory, Control and Computing (ICSTCC)\",\"volume\":\"60 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-12-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2014 18th International Conference on System Theory, Control and Computing (ICSTCC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICSTCC.2014.6982383\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 18th International Conference on System Theory, Control and Computing (ICSTCC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICSTCC.2014.6982383","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Minimal factorization of transfer matrices for generalized systems
Given a generalized system whose transfer matrix function may be improper or may be polynomial, we provide necessary and sufficient conditions under which a minimal factorization does exist. The conditions are formulated in terms of deflating subspaces of pencils related to a special type of realisation, called centered, which allows to efficiently cater for poles and/or zeroes at infinity.