{"title":"2个转移矩阵的商奇异值分解和方向方面","authors":"J. David, B. De Moor","doi":"10.1109/CMPEUR.1992.218414","DOIUrl":null,"url":null,"abstract":"Directional aspects of multiple-input-multiple-output systems relative to one another are studied. The quotient singular value decomposition (QSVD), a generalization of the SVD is used. The definition and some properties of the QSVD are stated. The concepts of the indicator ellipsoid and the oriented energy plot allow for a better visualization of the directional gain. The oriented signal-to-signal ratio, is introduced. It is shown that it can be computed by using the QSVD. Some applications in control are outlined.<<ETX>>","PeriodicalId":390273,"journal":{"name":"CompEuro 1992 Proceedings Computer Systems and Software Engineering","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The quotient SVD and directional aspects of 2 transfer matrices\",\"authors\":\"J. David, B. De Moor\",\"doi\":\"10.1109/CMPEUR.1992.218414\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Directional aspects of multiple-input-multiple-output systems relative to one another are studied. The quotient singular value decomposition (QSVD), a generalization of the SVD is used. The definition and some properties of the QSVD are stated. The concepts of the indicator ellipsoid and the oriented energy plot allow for a better visualization of the directional gain. The oriented signal-to-signal ratio, is introduced. It is shown that it can be computed by using the QSVD. Some applications in control are outlined.<<ETX>>\",\"PeriodicalId\":390273,\"journal\":{\"name\":\"CompEuro 1992 Proceedings Computer Systems and Software Engineering\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-05-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"CompEuro 1992 Proceedings Computer Systems and Software Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CMPEUR.1992.218414\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"CompEuro 1992 Proceedings Computer Systems and Software Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CMPEUR.1992.218414","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The quotient SVD and directional aspects of 2 transfer matrices
Directional aspects of multiple-input-multiple-output systems relative to one another are studied. The quotient singular value decomposition (QSVD), a generalization of the SVD is used. The definition and some properties of the QSVD are stated. The concepts of the indicator ellipsoid and the oriented energy plot allow for a better visualization of the directional gain. The oriented signal-to-signal ratio, is introduced. It is shown that it can be computed by using the QSVD. Some applications in control are outlined.<>
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