{"title":"H/sup∞/优化多元分布式系统的若干问题","authors":"C. Foias, H. Ozbay, A. Tannenbaum","doi":"10.1109/CDC.1988.194460","DOIUrl":null,"url":null,"abstract":"The results of a study of H/sup infinity /-optimization for multivariable distributed systems are summarized. A skew Toeplitz framework has been used. The problem has been reduced to finding the singular values of a certain operator (the so-called four-block operator). Depending on the specific problem considered, the corresponding four-block operator can be simplified to a two-block or one-block operator. This is specialized to the multivariate two-block case. A procedure for the computation of the eigenvalues of this operator is described.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Remarks on H/sup infinity / optimization multivariate distributed systems\",\"authors\":\"C. Foias, H. Ozbay, A. Tannenbaum\",\"doi\":\"10.1109/CDC.1988.194460\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The results of a study of H/sup infinity /-optimization for multivariable distributed systems are summarized. A skew Toeplitz framework has been used. The problem has been reduced to finding the singular values of a certain operator (the so-called four-block operator). Depending on the specific problem considered, the corresponding four-block operator can be simplified to a two-block or one-block operator. This is specialized to the multivariate two-block case. A procedure for the computation of the eigenvalues of this operator is described.<<ETX>>\",\"PeriodicalId\":113534,\"journal\":{\"name\":\"Proceedings of the 27th IEEE Conference on Decision and Control\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-12-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 27th IEEE Conference on Decision and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1988.194460\",\"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 27th IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1988.194460","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Remarks on H/sup infinity / optimization multivariate distributed systems
The results of a study of H/sup infinity /-optimization for multivariable distributed systems are summarized. A skew Toeplitz framework has been used. The problem has been reduced to finding the singular values of a certain operator (the so-called four-block operator). Depending on the specific problem considered, the corresponding four-block operator can be simplified to a two-block or one-block operator. This is specialized to the multivariate two-block case. A procedure for the computation of the eigenvalues of this operator is described.<>