{"title":"On computing the H∞ norm of a transfer matrix","authors":"Stephen P. Boyd, V. Balakrishnan, P. Kabamba","doi":"10.23919/ACC.1988.4789751","DOIUrl":null,"url":null,"abstract":"We present a simple bisection algorithm to compute the H<sub>∞</sub> norm of a transfer matrix. The bisection method is far more efficient than algorithms which involve a search over frequencies, and moreover can compute the H<sub>∞</sub> norm with guaranteed accuracy.","PeriodicalId":6395,"journal":{"name":"1988 American Control Conference","volume":"9 1","pages":"396-397"},"PeriodicalIF":0.0000,"publicationDate":"1988-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"37","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1988 American Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/ACC.1988.4789751","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 37
Abstract
We present a simple bisection algorithm to compute the H∞ norm of a transfer matrix. The bisection method is far more efficient than algorithms which involve a search over frequencies, and moreover can compute the H∞ norm with guaranteed accuracy.