简介:Nowstudyingfordoctor'sdegreeatinstituteofSystemsScience,AcademiaSinica.TheoremDI4]Letk21beaninteger.IfGisaconnectedclaw-freegmphwithhiV(G)levenandwithminimumdegreee(G)atleastZk,thenGhasak-factor.Inthispaper,wegeneralizedtheresultofTheoremC,andobtainthefollowingTheoremifGisanN'-locallyconnectedclawtheegraphwithb(G)22,thenGhasa2-factor.2.LemmasLemma1IfGisanN'-locallyconnectedclaw-acegashwith6(G)22,thenforeachxo6V(G),Ghasashonestcyclecontainingxoandhavingatmost5venices.Lemma2IfGisanN'--locallyconnectedclaw-fr?
简介:ThemixedH2/H∞guaranteedcostcontrolproblemviastatefeedbackcontrollawsisconsideredinthispaperforlinearsystemswithnorm-boundedparameteruncertainty.Basedonthelinearmatrixinequality(LMI)approach,sufficientconditionsarederivedfortheexistenceofguaranteedcostcontrollerswhihcguaranteenotonlyaprespecifiedH∞disturbanceattenuationlevelononecontrolledoutputforalladmissibleparameteruncertainties,butalsotheworst-caseH2performanceindexontheothercontrolledoutputtobenomorethanaspecifiedbound.Furthermore,aconvexoptimizationproblemisformulatedtodesignanoptimalH2/H∞guaranteedcostcontroller.