简介：Inthispaper,LCPisconvertedtoanequivalentnonsmoothnonlinearequationsystemH(x,y)=0byusingthefamousNCPfunction-Fischer-Burmeisterfunction.NotethatsomeequationsinH(x,y)=0arenonsmoothandnonlinearhencedifficulttosolvewhiletheothersarelinearhenceeasytosolve.ThenwefurtherconvertthenonlinearequationsystemH(x,y)=0toanoptimizationproblemwithlinearequalityconstraints.AfterthatwestudytheconditionsunderwhichtheK-TpointsoftheoptimizationproblemarethesolutionsoftheoriginalLCPandproposeamethodtosolvetheoptimizationproblem.Inthisalgorithm,thesearchdirectionisobtainedbysolvingastrictconvexprogrammingateachiterativepoint,However,ouralgorithmisessentiallydifferentfromtraditionalSQPmethod.Theglobalconvergenceofthemethodisprovedundermildconditions.Inaddition,wecanprovethatthealgorithmisconvergentsuperlinearlyundertheconditions:MisP0matrixandthelimitpointisastrictcomplementaritysolutionofLCP.Preliminarynumericalexperimentsarereportedwiththismethod.

简介：Inthispaper,weproposeanewartificialantalgorithmforsolvingconstrainedoptimizationproblemsingeneralcase.Numericalexamplesshowthatitiseffectiveandrobust.

简介：AbstractInthispaper,anewSQPmethodforinequalityconstrainedoptimizationisproposedandtheglobalconvergenceisobtainedunderverymildconditions.

简介：Inordertosolvetheconstrainedglobaloptimizationproblem,weusepenaltyfunctionsnotonlyonconstraintsbutalsoonobjectivefunction.Thenwithintheframeworkofintervalanalysis,anintervalBranch-and-Boundalgorithmisgiven,whichdoesnotneedtosolveasequenceofunconstrainedproblems.Globalconvergenceisproved.Numericalexamplesshowthatthisalgorithmisefficient.

简介：Inordertomeettheneedsofpracticaldesign,aninterpolationtechniqueisemployedtoconstraintheshapeofsurfaces.Themethodofpreservingpositivityontheinterpolationsurfaceandconstraintoninterpolatingdataisalsodeveloped.Theadvantageofthisnewmethodisthatitcanbeusedtoconstraintheshapeofaninterpolatingsurfaceonlybyselectingsuitableparameters,andnumericalexamplesarepresentedtoshowtheperformanceofthemethod.

简介：Resolventmethodsarepresentedforgeneratingsystematicallyiterativenumericalalgorithmsforconstrainedproblemsinmechanics.Theabstractframeworkcorrespondstoageneralmixedfiniteelementsubdif-ferentialmodel,withdualandprimalevolutionversions,whichisshowntoapplytoproblemsoffluiddynamics,transportphenomenaandsolidmechanics,amongothers.Inthismanner,Uzawa’stypemethodsandpenalization-dualityschemes,aswellasmacro-hybridformulations,aregeneralizedtononnecessarilypotentialnanlinearmechanicalproblems.

简介：Animprovedconstrained(IC)steeringlawforsinglegimbalcontrolmomentgyros(SGCMGs)withdeformedpyramidconfiguration(DPC)isproposed.Firstofall,theoriginalsystemwithfivepyramidconfiguration(FPC)whosetwoadjacentgyrosareinfailurestateisreconfiguredasadegradedsystemwithDPC.Then,thesingularangularmomentumhypersurfacesoftheoriginalandthedegradedsystemsareplottedviathesingularangularmomentumequationofSGCMGs.Basedonsingularsurfaces,thedifferencesbetweenFPCandDPCinsingularityandmomentumenvelopeareobtaineddirectly,whichprovideanimportantreferenceforsteeringlawdesignofDPC.Finally,anICsteeringlawisdesignedandappliedtoDPC.ThesimulationresultsdemonstratethattheICsteeringlawhasadvantagesinsimplicityofcalculation,avoidanceofsingularityandexactnessofoutputtorque,whichendowthedegradedsystemwithfinecontrollabilityinarestrictedworkspace.

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简介：Fordecades,nacrehasinspiredresearchersbecauseofitssophisticatedhierarchicalstructureandremarkablemechanicalproperties,especiallyitsextremefracturetoughnesscomparedwiththatofitspredominantconstituent,CaCO3,intheformofaragonite.Crackdeflectionhasbeenextensivelyreportedandregardedastheprincipaltougheningmechanismfornacre.Inthispaper,ourattentionisfocusedoncrackevolutioninnacreunderaquasi-staticstate.Weusethenotchedthree-pointbendingtestofdehydratednacreinsituinascanningelectronmicroscope(SEM)tomonitortheevolutionofdamagemechanismsaheadofthecracktip.Theobservationsshowthatthecrackdeflectionactuallyoccursbyconstrainedmicrocracking.Onthebasisofourfindings,acrackpropagationmodelisproposed,whichwillcontributetouncoveringtheunderlyingmechanismsofnacre’sfracturetoughnessanditsdamageevolution.Theseinvestigationswouldbeofgreatvaluetothedesignandsynthesisofnovelbiomimeticmaterials.

简介：Thispaperpresentsthestabilityofdifferenceapproximationsofanoptimalcontrolproblemforaquasilinearparabolicequationwithcontrolsinthecoefficients,boundaryconditionsandadditionalrestrictions.Theoptimalcontrolproblemhasbeenconveredtooneoftheoptimizationproblemusingapenaltyfunctiontechnique.Thedifferenceapproximationsproblemfortheconsideredproblemisobtained.Theestimationsofstabilityofthesolutionofdifferenceapproximationsproblemareproved.Thestabilityestimationofthesolutionofdifferenceapproximationsproblembythecontrolsisobtained.

简介：Akindofnondecreasingsubgradientalgorithmwithappropriatestoppingrulehasbeenproposedfornonsmoothconstrainedminimizationproblem.Thedualtheoryisinvokedindealingwiththestoppingruleandgeneralglobalminimiizingalgorithmisemployedasasubroutineofthealgorithm.Themethodisexpectedtotacklealargeclassofnonsmoothconstrainedminimizationproblem.

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简介：有抑制输入(SLSCI)的交换线性系统的稳定被考虑。作者设计可被考虑的线性州的反馈和有一最小的居住时间(MDT)到的切换的规则稳定了系统。首先为有抑制输入的每个分系统，稳定线性州的反馈和靠近环的系统的一个不变的集合同时被构造，以便如果这设定并且仅当靠近环的系统状态在内躺着，输入限制满足。由为每个靠近环的分系统构造一个二次的Lyapunov函数，然后，MDT被推出，基于MDT的切换策略被介绍保证交换系统的稳定性。

简介：Thispaperproposesamultiple-constraints-guaranteedmidcourseguidancelawfortheinterceptionofthehypersonictargets.Intraditionalmidcourselawdesign,theconstraintsoftheaero-thermalheatingarerarelytakenintoconsideration.Theperformanceoftheinfrareddetectionsystemmaybedegradedandtheinstabilityoftheflightcontrolsystemmaybeinduced.Toaddressthisproblem,astate-constrainedmodelpredictivestaticprogrammingmethodisintroducedsuchthatbothterminalconstraints(positionandangle)andoptimalenergyconsumptioncanbeensured.Asaresult,asub-optimalmidcourseguidance,guaranteeingtheaforementionedmultiple-constraintstobeneverviolated,issynthesized.Simulationresultsdemonstratetheeffectivenessoftheproposedmethod.

简介：ＡＳＵＣＣＥＳＳＩＶＥＡＰＰＲＯＸＩＭＡＴＩＯＮＭＥＴＨＯＤＦＯＲＳＯＬＶＩＮＧＰＲＯＢＡＢＩＬＩＳＴＩＣＣＯＮＳＴＲＡＩＮＥＤＰＲＯＧＲＡＭＳＷＡＮＧＪＩＮＤＥ（王金德）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＮａｎｊｉｎｇＵｎｉｖｅｒｓ...

简介：Inthispaper,atrustregionmethodforequalityconstrainedoptlmizationbasedonnondiferentiableexactpenaltyisproposed.Inthisalgorithin,thetrailstepischaracterizedbycomputationofitsnormalcomponentbeingseparatedfromcomputationofitstangentialcomponent,i.e.,onlythetangentialcomponentofthetrailstepisconstrainedbytrustradiuswhilethenormalcomponentandtrailstepitselfhavenoconstraints.Theothermaincharacteristicofthealgorithmisthedecisionoftrustregionradius.Here,thedecisionoftrustregionradiususestheinformationofthegradientofobjectivefunctionandreducedHessian.However,Maratoseffectwilloccurwhenweusethenondifferentiableexactpenaltyfunctionasthemeritfunction.Inordertoobtainthesuperlinearconvergenceofthealgorithm,weusethetwiceordercorrectiontechnique.Becauseofthespecialityoftheadaptivetrustregionmethod,weusetwiceordercorrectionwhenp=0(thedefinitionisasinSection2)andthisisdifferentfromthetraditionaltrustregionmethodsforequalityconstrainedopthnization.Sothecomputationofthealgorithminthispaperisreduced.Whatismore,wecanprovethatthealgorithmisgloballyandsuperlinearlyconvergent.

简介：InthispaperthegeneralizedBianchi’sidentitiesforthevariantconstrainedsystem(GBIVOS)withnon-invariantactionintegralandconstraintconditionswasderived,andthestrongandweakconservationlawsforsuchsystemwasdeduced.ThepreliminaryapplicationsoftheGBIVCStothecaseforsomemodelsoffieldtheorieswasgiven.TheDiracconstraintofsuchsystemwasdiscussed.

简介：Apotentialreductionalgorithmisproposedforoptimizationofaconvexfunctionsubjecttolinearconstraints.Ateachstepofthealgorithm,asystemoflinearequationsissolvedtogetasearchdirectionandtheArmijo'sruleisusedtodetermineastepsize.Itisprovedthatthealgorithmisgloballyconvergent.Computationalresultsarereported.

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