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1、LectureNotesinControlandInformationSciences206Editor:M.ThomaSpringerBerlinHeidelbergNewYorkBarcelonaBudapestHongKongLondonMilanParisTokyoZijadAganovidandZoranGajieLinearOptimalControlofBilinearSystemswithApplicationstoSingularPerturbationsandWeakCouplin
2、g~SpringerSeriesAdvisoryBoardA.BensoussanM.J.GrimbleP.Kokotovic'H.KwakernaakJ.L.MasseyY.Z.TsypkinAuthorsZijadAganovid,PresidentCylexSystemsInc.,6OOlBrokenSoundParkway,BocaRaton,Florida33487,USAZoranGajid,AssociateProfessorDepartmentofElectricalandComput
3、erEngineering,RutgersUniversity,Piscataway,NewJerseyo8855-o9o9,USAISBN3-540-19976-4Springer-VerlagBerlinHeidelbergNewYorkBritishLibraryCataloguinginPublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibraryApartfromanyfairdealingforthepu
4、rposesofresearchorprivatestudy,orcriticismorreview,aspermittedundertheCopyright,DesignsandPatentsAct1988,thispublicationmayonlybereproduced,storedortransmitted,inanyformorbyanymeans,withthepriorpermissioninwritingofthepublishers,orinthecaseofreprographi
5、creproductioninaccordancewiththetermsoflicencesissuedbytheCopyrightLicensingAgency.Enquiriesconcerningreproductionoutsidethosetermsshouldbesenttothepublishers.©Springer-VerlagLondonLimited1995PrintedinGreatBritainThepublishermakesnorepresentation,expres
6、sorimplied,withregardtotheaccuracyoftheinformationcontainedinthisbookandcannotacceptanylegalresponsibilityorliabilityforanyerrorsoromissionsthatmaybemade.Typesetting:CamerareadybyauthorsPrintedandboundattheAtheneumPressLtd,Gateshead691383o-54321oPrinted
7、onacid-freepaperToSelma,Jaca,Adi&VekiPrefaceThisbookpresentslinearmethodsforoptimalcontrolofbilinearsystemswithemphasisonsingularlyperturbedandweaklycoupledbilinearsystems.Theunifiedthemeofthisbookistheuseofreduced-ordersubproblemstosimplifyanddecompose
8、computationsrequiredfortheoptimalcontrolofbilinearsystems.Therearenumerousexamplesofbilinearcontrolsystemsthatprovidegreatchallengestoengineers,mathematicians,andcomputerscientists.Someoftheexamplesofbilinearcontrolsystemsarenucl
