{"title":"实结构奇异值的一个新的上界","authors":"S. K. Gungah, U. Malik, I. Jaimoukha, G. Halikias","doi":"10.1109/CDC.2001.980106","DOIUrl":null,"url":null,"abstract":"A new, easily computable, upper bound on the real structured singular value /spl mu/ is derived under the assumption of a nonrepeated largest singular value. The condition under which real /spl mu/ is (strictly) less than the largest singular value is used to embed the structured uncertainty set in a larger related set. This is then used to derive an upper bound strictly less than the largest singular value without the use of scaling matrices.","PeriodicalId":131411,"journal":{"name":"Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)","volume":"88 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"A new upper bound for the real structured singular value\",\"authors\":\"S. K. Gungah, U. Malik, I. Jaimoukha, G. Halikias\",\"doi\":\"10.1109/CDC.2001.980106\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new, easily computable, upper bound on the real structured singular value /spl mu/ is derived under the assumption of a nonrepeated largest singular value. The condition under which real /spl mu/ is (strictly) less than the largest singular value is used to embed the structured uncertainty set in a larger related set. This is then used to derive an upper bound strictly less than the largest singular value without the use of scaling matrices.\",\"PeriodicalId\":131411,\"journal\":{\"name\":\"Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)\",\"volume\":\"88 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-12-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.2001.980106\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2001.980106","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A new upper bound for the real structured singular value
A new, easily computable, upper bound on the real structured singular value /spl mu/ is derived under the assumption of a nonrepeated largest singular value. The condition under which real /spl mu/ is (strictly) less than the largest singular value is used to embed the structured uncertainty set in a larger related set. This is then used to derive an upper bound strictly less than the largest singular value without the use of scaling matrices.
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