简介:Inthispaper,wediscusstheconvergenceoftheBroydenalgorithmswithrevisedsearchdirection.Undersomeinexactllnesearches,weprovethatthealgorithmsaregloballyconvergentforcontinuouslydifferentiablefunctionsandtherateofconvergenceofthealgorithmsisone-stepsuperlinearandn-stepsecond-orderforuniformlyconvexobjectivefunctions.
简介:ONACLASSOFANISOTROPICDIFFUSIONEQUATIONSONACLASSOFANISOTROPICDIFFUSIONEQUATIONS¥GAOHang(DepartmentofMathematics,FudanUniversit...
简介:ItisanewresearchtopictocreatearationaljudgmentmatrixusingthecognitiontheorybecauseoftheconstructionofjudgmentmatrixinAHPinvolvingthedecision-maker'scognitiveactivities.Owingtothepresenceofuncertaininformationinthedecisionprocedure,theimproperuseoftheuncertaininformationwilldoubtlesscauseweightchanges.Inthispaper,weaddafeedforwardprocesspriortoconstructingthejudgmentmatrixsothatthedecisionmakercanuseboththecertainanduncertaininformationtogettheinitialuncertainroughjudgmentmatrix,andthenconvertitintoafuzzymatrix.Consequently,itwillbebetterfordecisionmakertoobtaintheroughsetoforderequivalentclassesthroughthedecisiongraph.Accordingtothequalitativeanalysis,thedecisionmakercaneasilyconstructthefinaljudgmentmatrixinstructedbytheroughsetcreatedearlier.
简介:1.IntroductionManyphysicalsystems,suchajsthemodynamics,electrodynamics,populationbiology,aregovernedbydifferentialequations,integrodifferentialequationsormoregenerallyfunctionaldifferentialevolutionequationsonBanachspace.Associatedoptimalcontrolprobl...
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简介:Assumeanunreliableworkstationperformingjobswitharandomservicetime,namely,itoccasionallybreaksdownbecauseofunexpectedinterruptions.Asaninterruptionreallyoccurs,thestationisinstantaneouslyrepairedandtheuncompletedjobisrestartedagainfromthebeginningtillajobiscompletedwithoutbeinginterrupted.ThetotalservicetimeisshowntobeNBUifandonlyifthetotaltimeittakestofinisheachjobwithinterruptionsisstochasticallylargerthanthatwithoutthem,irrespectiveofwhenandhowthebreakdownsoccur.Asanapplication,anonparametricprocedureisdevelopedtotestforthestrictNBUpropertyoftheservicetime.Finally,somenumericalsimulationsarepresentedaswell.
简介:ThispaperusesR-statisticsasprojectionindicestoconstructaclassofprojectionpursuit(PP)R-statisticsformultivariatetwosampletestsviaPPtechniques.Examplesarepresentedasapplicationstothelocationanddispersionproblems.
简介:Inthispaper,thepartialstabilizationproblemforaclassofnonlinearcontinuouscontrolsystemswithseparatedvariablesisinvestigated.SeveralstabilizingcontrollersareconstructedbasedonthepartialstabilitytheoryofLyapunovandthepropertyofM-matrix,andsomeofthesestabilizingcontrollersareonlyrelatedtopartialstatevariables.Thecontrollersconstructedhereareshowntoguaranteepartialasymptoticstabilityoftheclosed-loopsystemsandthesesufficientconditionsmaygivesomeinstructionstoactualengineeringapplication.Aexampleisalsogiventoillustratethedesignmethod.
简介:Wedeveloptheinterpolatedfiniteelementmethodtosolvesecond-orderhy-perbolicequations.Thestandardlinearfiniteelementsolutionisusedtogenerateanewsolutionbyquadraticinterpolationoveradjacentelements.Weprovethatthisinterpo-latedfiniteelementsolutionhassuperconvergence.Thismethodcaneasilybeappliedtogeneratingmoreaccurategradienteitherlocallyorglobally,dependingontheapplications.Thismethodisalsocompletelyvectorizableandparallelizabletotaketheadvantagesofmoderncomputerstructures.Severalnumericalexamplesarepresentedtoconfirmourtheoreticalanalysis.
简介:Inthispaper,aclassofsimilarcompositesystemsisdiscussed,whoseinterconnectionsareasymmetricalandmismatched.Theinterconnectionconditionisproposed.Basedonit,theinterconnectionsaredividedintotwoparts.Onesatisfiestheinterconnectioncondition,bymeansofthetwo--stepmethod,thedecentralizedcontrollersaredesigned.Theotherdoesnotsatisfytheinterconnectioncondition,butthisisoffsettedbygoodqualityofthesystemitself.Basedonthese,asufficientconditionisgivenbysomelinearmatrixinequalities,whichmakesthestudiedsystemsquadraticstabilevialineardecentralizedcontrollersbymakinguseoftheinformationofinterconnectionsbetter.
简介:Thispaperproposestheconceptsofgeneralizedαk-majorefficientsolutionsandgeneralizedαkmajoroptimalsolutionsformulti-objectiveprogramming,andstudiestheirsomeimportantproperties.
简介:Earlyin1904,Hadamard[1]showedthescaleimplicitfunctiontheoremoffinitedimensions.Thenitwasgeneralizedtoinfinitedimensions.Inthispaperanewproofofthistheoremisgivenandtheuniqueexistenceoftheperiodicsolutionforaclassofordinarydifferentialequationsystemsatresonanceisobtained.