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