简介：1.IntroductionRecently,singleserverqueueswithvacationshavebeenstudiedextensivelyfromtheirowntheoreticalinterestaswellastheirapplicationstomanyengineeringsystemssuchascomputers,communicationnetworksandmanufacturingsystems.FOrtheM/G/lqueueingsystemswit...

简介：AsubsetofSofthevertexsetofagraphGiscalledacyclicifthesubgraphitinducesinGcontainsnocycles.SiscalledanacyclicdominatingsetofGifitisbothacyclicanddominating.Theminimumcardinalityofanacyclicdominatingset,denotedbyγα(G),iscalledtheacyclicdominationnumberofG.S.M.Hedetniemietal.on2000introducedtheconceptofacyclicdominationandposedthefollowingopenproblem:Isγα(G)≤δ(G)foranygraphwhosediameteristwo?Inthispaper,wegiveacounterexamplewhichdisprovestheproblem.

简介：TheLiealgebraofderivationsofrationalfunctionfieldC(t)isC(t)d/dtTheautomorphismgroupofC(t)iswellknownastobeisomorphictotheprojectivelineargroupPGL(2,C).InthisshortnoteweprovethateveryautomorphismofC(t)d/dtcanbeinducedinanaturalwayfromanautomorphismofC(t).

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简介：ThispaperdealswithH∞controlofa5th-ordermodelofsynchronousgenerators.First,byusingthemethodofexactlinearization,wetransformthe5th-ordermodelintoalinearone.Thenweassignthepoleofthelinearizedmodelintheopenlefthalfplane.Finally,weapplythedesignmethodoflinearH∞controltogetastatefeedbackcontroller.

简介：1.IntroductionLetGbeafinitegroup.ForaCayleysubsetSofGnotcontainingtheidentityelement1,theCayley(di)graphX~Cay(G,S)ofGwithrespecttoSisdefinedasthedirectedgraphwithvertexsetV(X)=GandedgesetE(X)={(g,sg)IgEG,s6S}.IfS=S--’,thentheadjacencyrelationissymmet...