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1、UnsolvedProblemsinMathematicalSystemsandControlTheoryEditedbyVincentD.BlondelAlexandreMegretskiPRINCETONUNIVERSITYPRESSPRINCETONANDOXFORDivCopyrightc2004byPrincetonUniversityPressPublishedbyPrincetonUniversityPress,41WilliamStreet,Princeton,NewJersey08
2、540,USAIntheUnitedKingdom:PrincetonUniversityPress,3MarketPlace,Wood-stock,OxfordshireOX201SY,UKAllrightsreservedLibraryofCongressCataloging-in-PublicationDataUnsolvedproblemsinmathematicalsystemsandcontroltheoryEditedbyVincentD.Blondel,AlexandreMegret
3、ski.p.cm.Includesbibliographicalreferences.ISBN0-691-11748-9(cl:alk.paper)1.Systemanalysis.2.Controltheory.I.Blondel,Vincent.II.Megretski,Alexandre.QA402.U53520042003064802003—dc22Thepublisherwouldliketoacknowledgetheeditorsofthisvolumeforpro-vidingthe
4、camera-readycopyfromwhichthisbookwasprinted.PrintedintheUnitedStatesofAmerica10987654321Ihaveyettoseeanyproblem,howevercomplicated,which,whenyoulookedatitintherightway,didnotbecomestillmorecompli-cated.PoulAndersonContentsPrefacexiiiAssociateEditorsxvW
5、ebsitexviiPART1.LINEARSYSTEMS1Problem1.1.StabilityandcompositionoftransferfunctionsGuillermoFern′andez-Anaya,JuanCarlosMart′?nez-Garc′?a3Problem1.2.TherealizationproblemforHerglotz-NevanlinnafunctionsSeppoHassi,HenkdeSnoo,EduardTsekanovski??8Problem1.3
6、.DoesanyanalyticcontractiveoperatorfunctiononthepolydiskhaveadissipativescatteringnDrealization?DmitryS.Kalyuzhniy-Verbovetzky14Problem1.4.PartialdisturbancedecouplingwithstabilityJuanCarlosMart′?nez-Garc′?a,MichelMalabre,VladimirKuˇcera18Problem1.5.Is
7、Monopoli’smodelreferenceadaptivecontrollercorrect?A.S.Morse22Problem1.6.ModelreductionofdelaysystemsJonathanR.Partington29Problem1.7.SchurextremalproblemsLevSakhnovich33Problem1.8.Theelusivei?testfortime-controllabilityofbehaviorsAmolJ.Sasane36viiiCONT
8、ENTSProblem1.9.AFarkaslemmaforbehavioralinequalitiesA.A.(Tonny)tenDam,J.W.(Hans)Nieuwenhuis40Problem1.10.Regularfeedbackimplementabilityoflineardi?erentialbehaviorsH.L.Trentelman44Problem1.11.RiccatistabilityErikI.Verriest49Problem1.12.
