简介:Researchonjumpregressionfunc(?)onshasnotbeenadequateyetAccordingtotheinformationaboutthenumberofjumps,theirpositionsandjumpmagnitudes,jumpregressionfunctionscanbeclassifiedintoeighttypes.Thispaperdealsespeciallywiththesecondjumpregressionfunction.Firstofall,aconceptoftrimmedsplineestimateisproposedandwithitanL~2-consistentestimateofthesmoothingpartofthejumpregressionfunctionisobtained.ThisalongwiththeL~2-consistentestimateofjumpmagnitudeconstitutesanestimateofthesecondjumpregressionfunction.Thispaperdiscussesalsothecasethatthejumppositionshavesomeindeterminacy.Anewcriterionissuggestedanditsuniquesolutionderived.Intheend,afewnumericalresultsaregiven.
简介:
简介:Inthisnote,wegiveanecessaryandsufficientconditionforviabilitypropertyofdiffusionprocesseswithjumpsonclosedsubmanifoldsofR~m.OurresultisthesystemisviableinaclosedsubmanifoldKiffthecoefficientsaretangenttoKalongKiftheequationisinthesenseofstratonovichintegralandthesolutionjumpsfromKtoK.
简介:Westudyexperimentallyandtheoreticallytheplanardynamicsofpurelyrollingprismsonaroughramp,wheretherollingmotionisinterruptedintermittentlybyedgeimpacts.Theexperimentswerecarriedoutforprismsmadeofdifferentmaterialsandhavingdifferentgeometries.Wefoundthattheangularvelocitiesoftherollingprismsarematerial-independent,buttheychangesignificantlywiththeirgeometry.Wemodelledthedynamicsofedgeimpactsbyconsideringasocalleddetachmentfrontpropagatingacrossthecontactinterface.Thedetachmentfrontrepresentsthemovingboundarybetweenadetachedregionandastressregionthatcoexistwithintheinterfaceplane.Thetheoreticalanalysisindicatesthatthedetachmentfrontcanbecharacterizedbyascalenumber,whosevalueconvergesto0.4050forprismshavinglargenumberofedges.Anewjumpruleforedgeimpactsisthendeveloped,bywhichwecanaccuratelyreproducetheexperimentalobservations,andexplainwhythemotionoftheprismismaterial-independent.
简介:
简介:TheexponentialpassivefilteringproblemforaclassofnonlinearMarkovjumpsystemswithuncertaintiesandtime-delaysisstudied.Theuncertainparametersareassumedunknownbutnormbounded,andthenonlinearitiessatisfythequadraticcondition.Basedonthepassivefilteringtheory,thesufficientconditionfortheexistenceofthemode-dependentpassivefilterisgivenbyanalyzingthereconstructedobserversystem.ByusingtheappropriateLyapunov-Krasovskiifunctionandapplyinglinearmatrixinequalities,thedesignschemeofthepassivefilterisderivedanddescribedasanoptimizationone.Thepresentedexponentialpassivefiltermakestheerrordynamicsystemsexponentiallystochasticallystableforalltheadmissibleuncertainties,time-delaysandnonlinearities,hasthebetterabilitiesofstatetrackingandsatisfiesthegivenpassivenormindex.Simulationresultsdemonstratethevalidityoftheproposedapproach.
简介:<正>Thisnoteisdevotedtothestudyofthestochasticcomparabilityofjumpprocesses.Onthebasisof[2]and[3],itisprovedthattwojumpprocessesarestochasticallycomparableifandonlyiftheirq-pairsarecomparable.Meanwhile,theresultconcerningtheuniquenessgivenin[6]isalsoimprovedupon.
简介:AclassofhybridjumpdiffusionsmodulatedbyaMarkovchainisconsideredinthiswork.Themotivationstemsfrominsuranceriskmodels,andemergingapplicationsinproductionplanningandwirelesscommunications.Themodelsarehybridinthattheyinvolvebothcontinuousdynamicsanddiscreteevents.Undersuitableconditions,asymptoticexpansionsofthetransitiondensitiesfortheunderlyingprocessesaredeveloped,Theformalexpansionsarevalidatedandtheerrorboundsobtained.
简介:Throughaseriesofmodeltestsoffivescalesfor2-Dfreehydraulicjump,theda-taoffluctuatingpressureactingonthefloorlevelwithinthehydraulicjumpwereobtained.Dur-ingtheexperiments,Froudenumbervariedfrom2.94to8.61,andReynoldsnumberrangedfrom2×10~4to6×10~5.Experimentresultsindicatethattheamplitudescaleoffluctuatingpres-sureisthelengthscaleofmodel,i.e.P’=L,whichagreeswithgravitysimilaritylaw:Thefrequencyscaleofthefluctuatingpressureisaunityi.e.,f=1,whichdoesnotsatisfythegravitysimilaritylaw.
简介:Travelingandstationaryinternalhydraulicjumpsindensitycurrentswithpositiveornegativeentrainmentcoefficientswereanalyzedbasedonsimpleassumptions.Anexpressionofinternalhydraulicjumpswithentrainmentcoefficientswasderived.Experimentaldata,publishedinliterature,ofstationaryinternalhydraulicjumpsinturbid,thermalandsalinedensitycurrentsincludingmeasuredvaluesofwaterentrainmentwereusedtocomparewiththeory.Comparisonwasalsomadeoftravelinginternalhydraulicjumpsbetweenmeasureddataandtheory.
简介:Itisidentifiedthatbarelypassingelectronsarethedriveofthee-Gshbones,ratherthanthebarelytrappedelectronsatlowfrequency.Thefrequencyjumpine-Bshboneexperimentsisreproducedandanalyzed.Itisfoundthatthee-Bshbonefrequencyincreaseswiththehotelectronenergy,whichisconsistentwiththeexperiments.Thegrowthrateofthemode(m=2,n=2)isgreaterthanthatofthemode(m=1,n=1).
简介:ThispaperisconcernedwithstateestimationproblemforMarkovjumplinearsystemswherethedisturbancesinvolvedinthesystemsequationsandmeasurementequationsareassumedtobeGaussiannoisesequences.Basedontwopropertiesofconditionalexpectation,orthogonalprojectivetheoremisappliedtothestateestimationproblemoftheconsideredsystemssothatanovelsuboptimalalgorithmisobtained.ThenoveltyofthealgorithmliesinusingorthogonalprojectivetheoreminsteadofKalmanfiltersto...
简介:ResearchersinthepasthadnoticedthatapplicationofArtificialNeuralNetworks(ANN)inplaceofconventionalstatisticsonthebasisofdataminingtechniquespredictsmoreaccurateresultsinhydraulicpredictions.MostlytheseworkspertainedtoapplicationsofANN.Recently,anothertoolofsoftcomputing,namely,GeneticProgramming(GP)hascaughttheattentionofresearchersincivilengineeringcomputing.ThisarticleexaminestheusefulnessoftheGPbasedapproachtopredicttherelativescourdepthdownstreamofacommontypeofski-jumpbucketspillway.ActualfieldmeasurementswereusedtodeveloptheGPmodel.TheGPbasedestimationswerefoundtobeequallyandmoreaccuratethantheANNbasedones,especially,whentheunderlyingcause-effectrelationshipbecamemoreuncertaintomodel.
简介:Atheoreticalstudywasconductedtocharacterizehydraulicjumpoflaminarcircularliquidjets.Theobjectiveofthisresearchwastodeterminethejumplocationinasimpleexplicitform,Theeffectsofmanyfactorswereinvestigatedincludingnozzlediameter,jetexitpressure,nozzle-to-platespacing,jetvelocityandReynoldsnumber,ItwasfoundthatthetheoreticaldatacollapsedwellovertherangeofjetReynoldsnumber500≤Re≤1800withpreviousdata.