{"title":"非对角结构不确定性的鲁棒性分析","authors":"J. Chen, M. Fan, C. Nett","doi":"10.1109/CDC.1991.261244","DOIUrl":null,"url":null,"abstract":"The authors study the structured singular value for a class of robustness analysis problems in which the uncertainty is allowed to be non-diagonally structured, and the norm of each block is individually considered. The results extend previous work conducted for problems where each uncertainty block is assumed to be a scalar. Computations of this generalization notion via both the similarity and nonsimilarity scaling methods are investigated. It is shown in particular that under certain circumstances the structured singular value defined here coincides with a vector-induced norm.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"54 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"On robustness analysis with non-diagonally structured uncertainty\",\"authors\":\"J. Chen, M. Fan, C. Nett\",\"doi\":\"10.1109/CDC.1991.261244\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The authors study the structured singular value for a class of robustness analysis problems in which the uncertainty is allowed to be non-diagonally structured, and the norm of each block is individually considered. The results extend previous work conducted for problems where each uncertainty block is assumed to be a scalar. Computations of this generalization notion via both the similarity and nonsimilarity scaling methods are investigated. It is shown in particular that under certain circumstances the structured singular value defined here coincides with a vector-induced norm.<<ETX>>\",\"PeriodicalId\":344553,\"journal\":{\"name\":\"[1991] Proceedings of the 30th IEEE Conference on Decision and Control\",\"volume\":\"54 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-12-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1991] Proceedings of the 30th IEEE Conference on Decision and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1991.261244\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1991.261244","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On robustness analysis with non-diagonally structured uncertainty
The authors study the structured singular value for a class of robustness analysis problems in which the uncertainty is allowed to be non-diagonally structured, and the norm of each block is individually considered. The results extend previous work conducted for problems where each uncertainty block is assumed to be a scalar. Computations of this generalization notion via both the similarity and nonsimilarity scaling methods are investigated. It is shown in particular that under certain circumstances the structured singular value defined here coincides with a vector-induced norm.<>
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