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1、deGruyterExpositionsinMathematics51EditorsV.P.Maslov,AcademyofSciences,MoscowW.D.Neumann,ColumbiaUniversity,NewYorkR.O.Wells,Jr.,InternationalUniversity,BremenStateObserversforLinearSystemswithUncertaintybySergeyK.KorovinandVasilyV.Fomichev≥WalterdeGruyter·Berlin·NewYorkAuthorsSer
2、geyK.KorovinVasilyV.FomichevFacultyofComputationalMathematicsFacultyofComputationalMathematicsandCyberneticsandCyberneticsMoscowStateUniversityMoscowStateUniversityVorob’evyGoryLeninskieGory119899Moscow,Russia119992Moscow,RussiaE-mail:korovin@isa.ruE-mail:formichev@cs.msu.suMathem
3、aticsSubjectClassification2000:93-02,93B07,93B35,93B50Keywords:Systemtheory,controltheory,statecontrol,dynamicalsystems,systemsoflinearordinarydifferentialequations.Printedonacid-freepaperwhichfallswithintheguidelinesoftheANSItoensurepermanenceanddurability.ISSN0938-6572ISBN978-3
4、-11-021812-1BibliographicinformationpublishedbytheDeutscheNationalbibliothekTheDeutscheNationalbibliothekliststhispublicationintheDeutscheNationalbibliografie;detailedbibliographicdataareavailableintheInternetathttp://dnb.d-nb.de.Copyright2009byWalterdeGruyterGmbH&Co.KG,10785Berl
5、in,Germany.Allrightsreserved,includingthoseoftranslationintoforeignlanguages.Nopartofthisbookmaybereproducedortransmittedinanyformorbyanymeans,electronicormechanical,includingphotocopy,recording,oranyinformationstorageorretrievalsystem,withoutpermis-sioninwritingfromthepublisher.P
6、rintingandbinding:Hubert&Co.GmbH&Co.KG,Göttingen.Coverdesign:ThomasBonnie,Hamburg.PrefaceInthisbooktheauthorsshowthelatest(approximatelytwenty-year)achievementsinthefieldofsynthesisofstateobserversofdynamicalsystemsdescribedbyordinarydifferentialequationsorbyrecurrencerelationswith
7、finitememory.Theresultsoftheprecedingtimeperiodarereflected,sufficientlycompletely,inthemonographbyO’Reilly.Themainachievementsconcernthedevelopmentoftheobservabilitytheoryformultidimensional(multiplyconnected)systems,functionalobservers,andobserversundertheconditionsofuncertainty.In
8、addition,anessentialprogresswasac
