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1.
钟万勰 《应用数学和力学(英文版)》2000,(12)
IntroductionH∞controltheoryhasbeenwelldevelopedsincetheDGKFpaper[1],wherethefundamentalequationsforH∞ measurementfeedbackcontrolarederivedfromtheseparationprinciple ,asinLQGcontroltheory[2~ 5 ].However,thecomputationforfinitehorizon [0 ,tf]problemandthedetermi… 相似文献
2.
IntroductionThecorrespondencebetweenH∞ decentralizedcontrolandmodalsynthesistheoryispresentedinpart (I)ofthepaper[1].WheretheorthogonalityandtheexpansiontheoremofeigenfunctionsofsubsystemsH∞ controlareintroduced .Basedontheseresults,thefollowingsectionspresentthemodalsynthesismethodforthecomputationoftheoptimalH∞ normofthedecentralizedcontrolsystemsandnumericalexamples.Notethatthroughoutthepaperequation(I_n)denotesequation (n)inpart (I)ofthepaper[1].1 OptimalParameterComputationforGlob… 相似文献
3.
Active vibration control for a kind of two-hinged plate is developed in this paper. A finite element model for the hinged plate integrated with distributed piezoelectric sensors and actuators is derived, including bending and torsional modes of vibration. In this model, the hinges are simplified as regular plate elements to facilitate operation. The state space representations for bending and torsional vibrations are obtained. Based on two low-order models of the bending and torsional motion, two H ∞ robust controllers are designed for suppressing the vibrations of the bending and torsional modes, respectively. The simulation results indicate the effectiveness and feasibility of the designed H ∞ controllers. The vibration magnitudes of the low-order modes can be reduced without affecting the high frequency modes. 相似文献
4.
IntroductionSince 1 963 ,Lorenzfoundthefirstchaoticattractorinathree_dimensionalautonomoussystem[1],chaoshasbeenintensivelystudiedduringthelastdecades.Ithasbeendetectedinalargenumberofdynamicssystemofphysicalnature.However,manyeffectsareusuallyundesirableinpracticeforthesensibilityofchaos.Controllingchaoticsystemhasbeeninthefocusofattentionintheengineeringsociety[2~ 4 ].Manytechniquesandapproacheshavebeenstudiedtocontrolthechaoticsystem .Forinstance,OGYmethod[5 ],linearstatespacefeedback[6… 相似文献
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6.
黄正洪 《应用数学和力学(英文版)》2002,23(2):169-177
IntroductionInsystemofthenonlineardispersive ,thepapers [1 ]and [2 ]havestudiedthemodelequationofsimplewavespropagationoflongwave ,ut+αux+ βuux-γuxxt=0 x∈R ,t≥ 0iscalledtheRLWequation .SHANG[3]obtainedtheexactsolitarywavesolutionsofthetwodimensionalRLWequation .In… 相似文献
7.
IntroductionInRef.[1 ]KannanandLockergivetheexistenceofatleastonesolutionofTy-h(t,y ,… ,y(n- 1) )y=f(t,y ,… ,y(n- 1) ) (a相似文献
8.
Thenonlinearsingularlyperturbedproblemisaveryattentiveobjectofstudyintheinternationalacademiccircles[1].Recently ,manyscholarsstudiedagreatdealofwork .Forexample,Boh啨[2 ],ButuzovandSmurov[3],O’Malley ,Jr.[4 ],Butuzov ,NefedovandSchneider[5 ]andKelley[6 ]andsoon .TheauthorconsideredaclassofsingularlyperturbednonlinearboundaryvalueproblemsfortheordinarydifferentialequationinRefs .[7~ 1 0 ] ,reactiondiffusionequationsinRefs.[1 1~ 1 3 ] ,singularlyperturbedproblemswithnonlocalboundarycond… 相似文献
9.
Cublic spline solutions of axisymmetrical nonlinear bending and buckling of circular sandwich plates
IntroductionBruun[1],Huang[2 ]andWang[3]publishedtheirpapersrelatedtolinearlystaticanalysisofcircularsandwichplates .Liuetal.setupnonlinearbendingequationsofacircularsandwichplate[4 ],andsolvedaseriesofnonlinearproblems[5~ 10 ].Sofartheothersneverdiscuss… 相似文献
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IntroductionThemotionofamechanicalsystemwithunilateralconstraintsismoregeneralthanwithbilateralconstraints1andyetitsinvestigationismoredifficult[1,2].Thesystemswithunilateralconstraintsinvolvetheholonomicmechanicalsystemswithunilateralholonomicconstraints[3~6]andthenonholonondcmeChanicalsystemswithunilateralholonondcconstraintS[7]andthenonholonondcmechanicalsystemswithunilateralnonholonondcconstraintS[2]andsoon.ThispaperstUdiesatypeofmoregeneralsystemswithunilateralconstfaints:nonholonondcs… 相似文献
11.
SINGULARLY PERTURBED NONLINEAR BOUNDARY VALUE PROBLEM FOR A KIND OF VOLTERRA TYPE FUNCTIONAL DIFFERENTIAL EQUATION 总被引:2,自引:0,他引:2
鲁世平 《应用数学和力学(英文版)》2003,24(12):1441-1449
IntroductionThereweresomeresultsofstudyingonboundaryvalueproblemsforfunctionaldifferentialequation[1~6 ]byemployingthetoplolgicaldegreetheoryandsomefixedpointprinciplesinrecentyears.Buttheworktostudyboundaryvalueproblemsfordelaydifferentialequationwithsmallparameterbymeansofthetheoryofsingularperturbationrarelyappeared[7~11].Thereasonforitisthattheworktoconstructtheuppersolutionandlowersolutionforthecaseofdifferentialequationwithdelayisdifficult.Theauthorhasstudiedakindofboundaryvalueproblem… 相似文献
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H∞滤波在微惯性组合导航系统中的应用 总被引:1,自引:0,他引:1
基于微机电(MEMS)惯性仪表构成的微惯性测量装置(MIMU),其系统噪声特性不确定,影响了卡尔曼滤波器收敛过程,从而对MIMU/GPS组合系统性能产生不利影响.将鲁棒H∞滤波技术应用于该组合系统,确定了一种H∞滤波求解方法,给出了滤波器的推导步骤.该算法虽不具备最优滤波特性,但却具有更好的稳定性和鲁棒性.通过仿真实验,确定了H∞滤波器中的性能因子γ具体数值,使滤波器在可接受的估计精度下具有最佳鲁棒效果,它能在复杂的噪声环境下很好地估计出MIMU的主要误差,验证了H∞滤波对于噪声的不敏感程度和鲁棒性,提高了MIMU/GPS这类组合导航系统整体性能. 相似文献
13.
陈松林 《应用数学和力学(英文版)》2001,22(11):1352-1356
1 IntroductionandLemmasTherearemanyresultsaboutexistence (globalorlocal)andasymptoticbehaviorofsolutionsforreaction_diffusionequations[1- 9].Bytheaidsofresults[2 ,3]ofequation u/ t=Δu-λ|u|γ- 1uwithinitial_boundaryvalues,paper [4 ]studiedtheproblemof u/ t=Δu-λ|eβtu|γ- … 相似文献
14.
潘佳庆 《应用数学和力学(英文版)》2000,21(11):1331-1337
IntroductionThefastdiffusionequationofdivergenceformasut =(a(u)ux) x b(u) x c(u) (a( 0 ) = ∞ ) ( 1 )hasimportantphysicalbackground ,suchas [1 ] .Inrecentyears ,someresultsabout ( 1 )havebeenobtained .Forexample ,[2 ] ,[3]respectivelydiscussedtheCauchyproblemsforequation( 1 )andut=(… 相似文献
15.
IntroductionInpractice ,thereexistmanyexamplesofimpulsivecontrolsystems (seeRefs.[1 ,2 ,3 ] ) .Recently ,impulsivecontrolhasbeenwidelyusedtostabilizeandsynchronizechaoticsystems(seeRefs.[4~ 1 5] ) .Forexample,thepredictivePoincarecontrol[4 ]andtheoccasionalproportionalfeedbackcontrol[5 ]aretwoimpulsivecontrolschemeswithvaryingimpulsiveintervals.Yangetal.inRefs.[7,1 1 ]studied ,respectively ,thestabilizationandsynchronizationofaclassofchaoticsystemscalledLorenzsystems .YangandChuainRef.[1 … 相似文献
16.
IntroductionThereisacloserelationbetweenthesymmetryandtheconservedquantityinamechanicalsystem .ModernmethodstofindconservedquantityofamechanicalsystemaremainlyNoethersymmetrymethod[1]andLiesymmetrymethod[2 ].NoethersymmetryisaninvarianceoftheHamiltonactionundertheinfinitesimaltransformations.Liesymmetryisaninvarianceofthedifferentialequationsundertheinfinitesimaltransformations.Inthepasttenyears,aseriesofimportresultshavebeenobtainedonthestudyoftheNoethersymmetryandLiesymmetry[3~12 ].Thefo… 相似文献
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IntroductionMechanicsandphysicsofmediapossessingsimultaneouslypiezoelectric ,piezomagneticandmagnetoelectriceffects ,namely ,magnetoelectroelasticsolids,haveattractedmoreandmoreattentionduetotheirgreatpotentialapplicationsinthetechnologiesofsmartandadaptivematerialsystem[1] .Sometheoreticalinvestigationsappearedintheliteratureinclude :1)Theexistenceproblemofsurfacewavesinsemi_infiniteanisotropicmagnetoelectroelasticmediawithvariousboundaryconditions[2 ,3 ] ;2 )Green’sfunctions[4~ 7] ;3)Inho… 相似文献
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IntroductionTotheweaklydamped ,periodicallyforcedsine_Gordonequation ,A .R .Bishop[1~ 3]analyzeditssolutionunderperiodicboundaryconditionandconcludedthatitssolutionwouldshowdifferentspatialstructuresandlong_timeasymptoticstatesalongwiththevariationofpara… 相似文献
19.
IntroductionHybriddynamicsystemscombinebothcontinuoustimedynamicsanddiscreteeventdynamics.Thetwodynamicsinteractoneachothersuchthatthesystemsperformmorecomplexdynamicbehaviors .Switchedlinearsystemsareanimportantclassofhybriddynamicsystemswhichconsistofafamilyoflineartime_invariantsystemsandaswitchinglawspecifyingtheswitchingbetweenthem .Inrecentyears ,therehasbeenincreasinginterestinthecontrolproblemsofswitchedsystemsduetotheirsignificancebothintheoryandapplications[1~ 2 1] .Thusfar,therese… 相似文献
20.
IntroductionAsanimportantnumericalmethod ,BoundaryElementMethod (BEM)hasbeenappliedinmanyareas[1].However,theBEMhasthedifficultiesofcalculatingsingularintegralsatnodesonboundaryoratinteriorpointsveryclosetotheboundary .TheaccuracyoftheBEMdependsontheprecisionofthecalculatedvaluesofthesingularintegrals,toagreatdegree.Manyresearchersdevotethemselvestothetreatmentofthesingularintegrals[2~3],whicharereviewedindetailbyRef.[4] .Ageneralregularizationalgorithmofevaluatingthephysicalquantitiesa… 相似文献