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1、UnsolvedProblemsinMathematicalSystemsandControlTheoryEditedbyVincentD.BlondelAlexandreMegretskiPRINCETONUNIVERSITYPRESSPRINCETONANDOXFORDivCopyrightc2004byPrincetonUniversityPressPublishedbyPrincetonUniversityPress,41WilliamStreet,Princeton,NewJersey08540,USAIntheUnitedKingdom:PrincetonUnive
2、rsityPress,3MarketPlace,Wood-stock,OxfordshireOX201SY,UKAllrightsreservedLibraryofCongressCataloging-in-PublicationDataUnsolvedproblemsinmathematicalsystemsandcontroltheoryEditedbyVincentD.Blondel,AlexandreMegretski.p.cm.Includesbibliographicalreferences.ISBN0-691-11748-9(cl:alk.paper)1.Syst
3、emanalysis.2.Controltheory.I.Blondel,Vincent.II.Megretski,Alexandre.QA402.U53520042003064802003—dc22Thepublisherwouldliketoacknowledgetheeditorsofthisvolumeforpro-vidingthecamera-readycopyfromwhichthisbookwasprinted.PrintedintheUnitedStatesofAmerica10987654321Ihaveyettoseeanyproblem,howeverc
4、omplicated,which,whenyoulookedatitintherightway,didnotbecomestillmorecompli-cated.PoulAndersonContentsPrefacexiiiAssociateEditorsxvWebsitexviiPART1.LINEARSYSTEMS1Problem1.1.StabilityandcompositionoftransferfunctionsGuillermoFern′andez-Anaya,JuanCarlosMart′?nez-Garc′?a3Problem1.2.Therealizati
5、onproblemforHerglotz-NevanlinnafunctionsSeppoHassi,HenkdeSnoo,EduardTsekanovski??8Problem1.3.DoesanyanalyticcontractiveoperatorfunctiononthepolydiskhaveadissipativescatteringnDrealization?DmitryS.Kalyuzhniy-Verbovetzky14Problem1.4.PartialdisturbancedecouplingwithstabilityJuanCarlosMart′?nez-
6、Garc′?a,MichelMalabre,VladimirKuˇcera18Problem1.5.IsMonopoli’smodelreferenceadaptivecontrollercorrect?A.S.Morse22Problem1.6.ModelreductionofdelaysystemsJonathanR.Partington29Problem1.7.SchurextremalproblemsLevSakhnovich33Problem1.8.Theelusivei?testfortime-controllabilityofbehaviorsAmolJ.Sasa
7、ne36viiiCONTENTSProblem1.9.AFarkaslemmaforbehavioralinequalitiesA.A.(Tonny)tenDam,J.W.(Hans)Nieuwenhuis40Problem1.10.Regularfeedbackimplementabilityoflineardi?erentialbehaviorsH.L.Trentelman44Problem1.11.RiccatistabilityErikI.Verriest49Problem1.12.
