{"title":"转移矩阵H∞范数的计算","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":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1988-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"37","resultStr":"{\"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\":null,\"pages\":null},\"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}","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}
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.
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