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1、LectureNotesinControlandInformationSciences277Editors:M.Thoma·M.MorariSpringerBerlinHeidelbergNewYorkBarcelonaHongKongLondonMilanParisTokyoA.SasaneHankelNormApproximationforInˇnite-DimensionalSystemsWith19Figures13SeriesAdvisoryBoardA.Bensoussan·P.Fleming·M.J.Gr
2、imble·P.Kokotovic·A.B.Kurzhanski·H.Kwakernaak·J.N.TsitsiklisAuthorAmolSasaneUniversityofTwenteSignals,SystemsandControlDept.FacultyofMathematicalSciencesPostbus2177500AEEnschedeTheNetherlandsCataloging-in-PublicationDataappliedforDieDeutscheBibliothekCIP-Einheit
3、saufnahmeSasane,Amol:Hankelnormapproximationforin?nite-dimensionalsystems/AmolSasane.-Berlin;Heidelberg;NewYork;Barcelona;HongKong;London;Milan;Paris;Tokyo:Springer,2002(Lecturenotesincontrolandinformationsciences;277)(Engineeringonlinelibrary)ISBN3-540-43327-9I
4、SBN3-540-43327-9Springer-VerlagBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthemate-rialisconcerned,speci?callytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicro?l
5、morinotherways,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer-Verlag.Violationsareliableforprosecut
6、ionactunderGermanCopyrightLaw.Springer-VerlagBerlinHeidelbergNewYorkamemberofBertelsmannSpringerScience+BusinessMediaGmbHhttp://www.springer.de?Springer-VerlagBerlinHeidelberg2002PrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inth
7、ispublicationdoesnotimply,evenintheabsenceofaspeci?cstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:Digitaldatasuppliedbyauthor.Data-conversionbyPTP-Berlin,StefanSossnae.K.Cover-Design:design&p
8、roductionGmbH,HeidelbergPrintedonacid-freepaperSPIN1086967662/3020Rw-543210refaceThisbookisaimedprimarilyatsystemtheoristsworkingontheapproximationofsystemsdescribed