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.

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

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

简介：