简介:ThemixedH2/H∞guaranteedcostcontrolproblemviastatefeedbackcontrollawsisconsideredinthispaperforlinearsystemswithnorm-boundedparameteruncertainty.Basedonthelinearmatrixinequality(LMI)approach,sufficientconditionsarederivedfortheexistenceofguaranteedcostcontrollerswhihcguaranteenotonlyaprespecifiedH∞disturbanceattenuationlevelononecontrolledoutputforalladmissibleparameteruncertainties,butalsotheworst-caseH2performanceindexontheothercontrolledoutputtobenomorethanaspecifiedbound.Furthermore,aconvexoptimizationproblemisformulatedtodesignanoptimalH2/H∞guaranteedcostcontroller.
简介:ComplexitymeasuresforkeystreammultisequencesoverZ/(N)playacrucialroleindesigninggoodstreamciphersystems.Thiscorrespondenceshowsageneralupperboundonk-errorjointN-adiccomplexityofperiodicmultisequencesoverZ/(N),andestablishestheexistenceofperiodicN-adicmultisequencesoverZ/(N)whichsimultaneouslypossessmaximaljointN-adiccomplexityandlargek-errorjointN-adiccomplexity.UndersomeconditionstheoverwhelmingmajorityofallT-periodicN-adicmultisequencesoverZ/(N)withmaximaljointN-adiccomplexitylogN(NT-1)haveak-errorjointN-adiccomplexityclosetologN(NT-1).
简介:MotivatedbytheresetoptionwithnpredetermineddatesanalyzedbyW.Cheng,weconsiderakindofresetoptionwithuncertaindatesbyintroducingNpre-specifiedbarrierlevels.Weclaimthisresetoptionconsistsofsomestandardknock-inandknock-outbarrieroptions.Theclosed-formpricingformulaisderivedbymeansofaPDE'sapproach.
简介:ForaclassofSISOnonlinearcontrolsystemswithparameteruncertaintyanalmostdisturbancedecouplingproblemwithstabilityisdefinedandinvestigated.Backsteppingtechniqueprovidesapractcaldesignmethodofcontroller,underwhichtheL2gainfromthedisturbancetothecontrolledoutputcanbearbitrarilysmallsubjecttononlinearuncertaintiesandtheclose-loopsystemisinternallyasymptoticallystable.
简介:Fivekindsofconesareintroduced,whichareusedtoestablishtheconstraintsqualifications,underwhichthegeneralizedKuhn-Tuckernecessaryconditionsaredevelopedforaclassofgeneralized(h,φ)-differentiablesingle-objectiveandmultiobjectiveprogrammingproblemsbyusingMotzkin'salternativetheoremandBen-Talgeneralizedalgebraicoperations.
简介:ThispaperdealswithH∞controlofa5th-ordermodelofsynchronousgenerators.First,byusingthemethodofexactlinearization,wetransformthe5th-ordermodelintoalinearone.Thenweassignthepoleofthelinearizedmodelintheopenlefthalfplane.Finally,weapplythedesignmethodoflinearH∞controltogetastatefeedbackcontroller.