{"title":"An Extension of A-A-K Hankel Approximation Theory Using State-Space Formulation","authors":"C. Yang, F. Yeh","doi":"10.23919/ACC.1993.4792925","DOIUrl":null,"url":null,"abstract":"The optimal Hankel-norm approximation problem studied in [1] is reformulated in a state-space setting. It is shown that the A-A-K Hankel approximation theory can be generalized to optimal multivariable case. The optimal Hankel approximants obtained in this way are identical to those obtained by Glover [2], however, the present approach provides a deep insight into the A-A-K approximation theory and throws a new lignt on its future applications","PeriodicalId":162700,"journal":{"name":"1993 American Control Conference","volume":"43 13","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1993 American Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/ACC.1993.4792925","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
The optimal Hankel-norm approximation problem studied in [1] is reformulated in a state-space setting. It is shown that the A-A-K Hankel approximation theory can be generalized to optimal multivariable case. The optimal Hankel approximants obtained in this way are identical to those obtained by Glover [2], however, the present approach provides a deep insight into the A-A-K approximation theory and throws a new lignt on its future applications