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1、LectureNotesinControlandInformationSciencesEditedbyA.V.BalakrishnanandM.Thoma8RuthF.CurtainAnthonyJ.PritchardInfiniteDimensionalLinearSystemsTheorySpringer-VerlagBerlinHeidelbergNewYork1978SeriesEditorsA.V.BalakrishnanM.ThomaAdvisoryBoardA.G..1.MacFa
2、rlaneH.KwakernaakYa.Z.TsypkinAuthorsDr.RuthF.CurtainControlTheoryCentre,UniversityofWarwickpresentlyat:RijksuniversiteitteGroningenMathematischInstituutGroningenNetherlandsDr.Anthony.I.PritchardDirector,ControlTheoryCentreUniversityofWarwickCoventryC
3、V4?ALUnitedKingdomISBN3-540-08961-6Springer-VerlagBerlinHeidelbergNewYorkISBN0-387-08961-6Springer-VerlagNewYorkHeidelbergBerlinThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallythoseoftransla
4、tion,re-printing,re-useofillustrations,broadcasting,reproductionbyphotocopyingmachineorsimilarmeans,andstorageindatabanks.Under§54oftheGermanCopyrightLawwherecopiesaremadeforotherthanprivateuse,afeeispayabletothepublisher,theamountofthefeetobedetermi
5、nedbyagreementwiththepublisher.©bySpringer-VerlagBerlinHeidelberg1978PrintedinGermanyPrintingandbinding:ReltzOffsetdruck,Hemsbach/Rergstr.206113020-543210PREFACEOverthepastfiveyearsthemajorresearcheffortoftheControlTheoryCentreattheUniversityofWarwic
6、khasbeenintheareaofinfinitedimensionalsystemtheory.Thephilosophyunderlyingthere-searchhasbeentodevelopamathematicalframeworkwhichenablesthegeneralisationofthefinitedimensionalresultstoinfinitedimensionsandwhichincludesbothdistributedparametersystemsa
7、nddifferentialdelaysystemsasspecialcases.SofollowingtheleadofFattorinlin[6],wedescribethesystemdynamicsintermsofastronglycontinuoussemigrouponanappropriateBanachspace.Usingthisunifyingmathem-aticalapproachitispossibletoclarifytheessentialconceptsofob
8、servability,controllability,thequadraticcostcontrolproblem,andtheestimationandcontrolproblemsforstochasticsystems.Atthisstagewefeelitisappropriatetopresenttheculminationofthiscol-lectiveeffortinacoordinatedwayintheformoflecturenotes.Ofcourseithasnotb
