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1、Discrete-TimeLinearSystemsGuoxiangGuDiscrete-TimeLinearSystemsTheoryandDesignwithApplications123GuoxiangGuDepartmentofElectricalandComputerEngineeringLouisianaStateUniversityElectricalEngineeringBuildingBatonRouge,LAUSAISBN978-1-4614-2280-8e-ISBN978-1-4614-2281-5DOI10.1007/978-1-4614-2281-5Sprin
2、gerNewYorkDordrechtHeidelbergLondonLibraryofCongressControlNumber:2012930050©SpringerScience+BusinessMedia,LLC2012Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),ex
3、ceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,an
4、dsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.Printedonacid-freepaperSpringerispartofSpringerScience+BusinessMedia(www.springer.com)TomyfamilyandfriendsPrefaceLinearsystemtheoryandoptimalestimationandcontrolar
5、etaughtatthegraduatelevelinmanyuniversities.Thisbookiswrittenprimarilyforgraduatestudentsinelectricalengineeringwhospecializeincontrol.Yet,themathematicaltheoryappliesnotonlytofeedbackcontrolsystemsbutalsotocommunicationandsignalprocessing.Indeed,fromtwodecadesofmyteachingintheadvanceddigitalcon
6、trolclassatLSU,IfoundthatwheneverIintroducedapplicationstodigitalcommunicationsandsignalprocessingsuchasequalizationandprecoding,moregraduatestudentscametoattendmyclass.Teachingofthisnewapplicationstimulatedmoreinterestsfromstudents.Controlstudentswereeagertolearnapplicationsofcontroltheorytocom
7、municationsthathadmoreactionsinthehigh-techboomtime,whilestudentsfromcommunicationandsignalprocessingsawthenewprosectofthemathematicalsystemtheoryintheirspecializedarea.Theseobservationsmotivatedmetoseriouslyconsiderexpansio