简介：AnonlinearversionofKreinRutmanTheoremisestablished.ThispaperpresentsaunifiedproofoftheKreinRutmanTheoremforlinearoperatorsandfornonlinearoperators,andofthePerron-Frobeniustheoremfornonnegativematricesandfornonnegativetensors.

简介：Anonlinearage-dependentpopulationmodel,whichallowsforconsiderationoftheeffectsofcrowdingandresourcelimitation,ispresented.Thebasicpropertiesofsolution,suchasexistence,positivity,uniqueness,andultimatebehavior,arediscussed.Also,theconditionofstabilityandcontroll-abilityofthenonlinearpopulationsystemisobtained.

简介：Basedonthenotionofmaximalabsoluteobservabilityanditsnormalforms,anewmethodforstudyingthelocalstabilizationforakindofnonlinearcontrolsystemsisestablished.DifferentfromthepreviousresultsgivenbyByrnes-Isitoriandothers,thisnewmethodcandealwithmoregeneralsystems,andhasmuchsimplerwaytoprovethestabilizationconditionsandtodesignthefeedbacklaws.

简介：完美的改编描述一个生物系统的能力在被环境骚乱影响以后精确恢复它的生物函数到不安前水平。算术地，有完美的改编的一个生物系统能作为输入产量被建模产量的非线性的系统，通常决定生物函数，在担心的所有输入骚乱下面是asymptotically稳定的。在这份报纸，相当一般的输入产量数学模型被雇用并且生物功能(FBF)功能-产量Lyapunov功能-被探索调查它的完美的改编能力。足够的状况与FBF为系统被建立完成完美的改编。然后，一个足够、必要的条件被获得让线性系统拥有一个输出Lyapunov函数。而且，这被显示出受体功能活动在E的完美的改编模型存在。coli趋化性。与存在不同完美的改编，其大多数基于控制理论的立场，上的数学调查我们首先用非线性的系统分析的方法调查这个问题。

简介：ＮＯＮＬＩＮＥＡＲＦＥＥＤＦＯＲＷＡＲＤＳＥＱＵＥＮＣＥＳＯＦｍ－ＳＥＱＵＥＮＣＥＳ（Ⅲ）ＤＡＩＺｏｎｇｄｕｏ（ＧｒａｄｕａｔｅＳｃｈｏｏｌ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎｇ１０００３９，Ｃｈｉｎａ）ＦＥＮＧＸｕｕｉｎｇ（Ｉｎｓｔｉｔｕｔ...

简介：mass-spring-damper-type的古典理论平常的扁平的空间3上的动态系统可以被reformulating概括到高度维的Riemannianmanifolds通过微分几何学的基本内在的物理原则。因为他们从当模特儿复杂物理结构自然地产生并且因为如此的动态系统为象信息的安全传播那样的几个现代应用程序组成基础，非线性的动态系统在科学文学被学习了。非线性的动态系统的流动可以在建筑群随着时间的过去演变，非重复(尽管确定)模式。现在的纸的焦点在提出描述在以一种没有坐标的方式歧管的Riemannian上滑动的一个点明智的粒子的动力学的一般方程上。纸显示出方程怎么在对科学文学的兴趣的某manifolds的情况中列举，例如歧管的Stiefel并且对称的积极明确的矩阵歧管。

简介：Thispaperanalyzesthedynamicsofnonlinearmultivariatetimeseriesmodelsthatisrepresentedbygeneralizedimpulseresponsefunctionsandasymmetricfunctions.Weillustratethemeasuresofshockpersistencesandasymmetriceffectsofshocksderivedfromthegeneralizedimpulseresponsefunctionsandasymmetricfunctioninbivariatesmoothtransitionregressionmodels.TheempiricalworkinvestigatesabivariatesmoothtransitionmodelofUSGDPandtheunemploymentrate.

简介：APRP-typesmoothingconjugategradientmethodforsolvinglargescalenonlinearcomplementarityproblems(NCP(F))isproposed.Ateachiteration,twoArmijolinesearchesareperformed,whichguaranteesthepositivepropertyofthesmoothingparameterandminimizesthemeritfunctionformedbyFischer-Burmeisterfunction,respectively.GlobalconvergenceisstudiedwhenF:R~n→R~nisacontinuouslydifferentiableP_0+R_0function.Numericalresultsshowthatthemethodisefficient.

简介：平常的微分方程(颂诗)模型广泛地被用来在许多科学领域里为动态过程建模。参数评价通常是一个挑战性的问题，特别在非线性的颂诗模型。最流行的方法，非线性的最不方形的评价，被显示对孤立点强烈敏感。在这份报纸，用M评估者的参数的柔韧的评价被建议，并且他们的asymptotic性质在一些常规条件下面被获得。作者也提供一个方法根据观察自动地调整Huber参数。而且，一个方法被介绍估计参数和州的变量的起始的值。效率和坚韧性很好在Huber评估者被平衡，它经由数字模拟和氯化物数据分析被表明。

简介：ＷＵ－ＲＩＴＴ＇ＳＭＥＴＨＯＤＦＯＲＮＯＮＬＩＮＥＡＲＣＯＮＴＲＯＬＳＹＳＴＥＭＳ￥ＬＩＳｈｕｒｏｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎｇ１０００８０，Ｃｈｉｎａ）Ａｂｓｔｒａｃｔ：Ｔｈｉ...

简介：有与采样为非线性的系统的一个类活跃骚乱拒绝控制(ADRC)调节的参数的担心快不足够评估的这份报纸。理论结果显示出在采样率之间的量的关系，ADRC的参数，在系统和靠近环的系统的性质的无常的尺寸。而且，在给定的采样率下面的样品数据ADRC的能力是讨论的份量上。

简介：Thispapersetupaclassofnonlinearsemi-discreteage-structuredmodelofpopulationevolutionsystem,byusingtheconceptofcriticalproliferationrate,itdiscussedthestabilityoflinearandnonlinearpopulationsystem,anditobtainthesufficiencyconditionsofthestablefornonlinearsemi-discretesystem.

简介：AninformationtheorymethodisproposedtotesttheGrangercausalityandcontemporaneousconditionalindependenceinGrangercausalitygraphmodels.Inthegraphs,thevertexsetdenotesthecomponentseriesofthemultivariatetimeseries,andthedirectededgesdenotecausaldependence,whiletheundirectededgesreflecttheinstantaneousdependence.Thepresenceoftheedgesismeasuredbyastatisticsbasedonconditionalmutualinformationandtestedbyapermutationprocedure.Furthermore,fortheexistedrelations,astatisticsbasedonthedifferencebetweengeneralconditionalmutualinformationandlinearconditionalmutualinformationisproposedtotestthenonlinearity.Thesignificanceofthenonlinearteststatisticsisdeterminedbyabootstrapmethodbasedonsurrogatedata.Weinvestigatethefinitesamplebehavioroftheprocedurethroughsimulationtimeserieswithdifferentdependencestructures,includinglinearandnonlinearrelations.

简介：这份报纸处理与控制不了的不稳定的linearization为非线性的系统的一个类调遣controlproblems的适应实际输出。设计一个光滑的适应调遣控制器解决几何、动态的任务withan的objectiveis任意的小稳定的追踪错误。增加一个力量综合者和robustrecursive设计技术的方法被采用强迫系统产量追踪一条需要的路径和makethe追踪速度沿着路径跟随需要的速度。一个例子被考虑，simulationresults被给。建议设计过程能被这个例子的使用说明。

简介：Thispaperdealswithon-linestateandparameterestimationofareasonablylargeclassofnonlinearcontinuous-timesystemsusingastep-by-stepslidingmodeobserverapproach.Themethodproposedcanalsobeusedforadaptationtoparametersthatvarywithtime.Theotherinterestingfeatureofthemethodisthatitiseasilyimplementableinreal-time.Theefficiencyofthistechniqueisdemonstratedviatheon-lineestimationoftheelectricalparametersandrotorfluxofaninductionmotor.Thisapplicationisbasedonthestandardmodeloftheinductionmotorexpressedinrotorcoordinateswiththestatorcurrentandvoltageaswellastherotorspeedassumedtobemeasurable.Real-timeimplementationresultsarethenreportedandtheabilityofthealgorithmtorapidlyestimatethemotorparametersisdemonstrated.Theseresultsshowtherobustnessofthisapproachwithrespecttomeasurementnoise,discretizationeffects,parameteruncertaintiesandmodelinginaccuracies.Comparisonsbetweentheresultsobtainedandthoseoftheclassicalrecursiveleastsquarealgorithmarealsopresented.Thereal-timeimplementationresultsshowthattheproposedalgorithmgivesbetterperformancethantherecursiveleastsquaremethodintermsoftheconvergencerateandtherobustnesswithrespecttomeasurementnoise.

简介：Inthepresentpaper,theabsolutestabilityofgeneralLuriediscretenonlinearcontrolsystemshasbeendiscussedbyLyapunovfunctionapproach,AsufficientconditionofabsolutestabvilityforthegeneralLuriediscretenonlinearcontrolsystemsisderived,andSomenecessaryandsufficientconditionsareobtainedinspecialcases.Meanwhile,wegiveasimpleexampletoillustratetheeffectivenessoftheresults.

简介：ForaclassofSISOnonlinearcontrolsystemswithparameteruncertaintyanalmostdisturbancedecouplingproblemwithstabilityisdefinedandinvestigated.Backsteppingtechniqueprovidesapractcaldesignmethodofcontroller,underwhichtheL2gainfromthedisturbancetothecontrolledoutputcanbearbitrarilysmallsubjecttononlinearuncertaintiesandtheclose-loopsystemisinternallyasymptoticallystable.

简介：这份报纸建议为非线性的平等的一个缩小的过滤器行搜索算法抑制了优化。一个缩小的过滤器，是传统的过滤器的修正，在算法被采用。当步尺寸接近零，缩小的过滤器的信封变得越来越薄。这个新算法为试用步的接受有更多的灵活性并且与传统的过滤器算法相比要求不太计算的费用。建议算法的全球、本地的集中在一些合理条件下面被给。数字实验被报导显示出缩小的过滤器算法的有效性。

简介：Theleft-inversesystemwithminimalorderanditsalgorithmsofdiscrete-timenonlinearsystemsarestudiedinalinearalgebraicframework.Thegeneralstructureofleft-inversesystemisdescribedandcomputedinsymbolicalgorithm.Twoalgorithmsaregivenforconstructingleft-inversesystemswithminimalorder.

简介：Inthispaper,adifferenceschemewithnonuniformmeshesisestablishedfortheinitial-boundaryproblemofthenonlinearparabolicsystem.Itisprovedthatthedifferenceschemeissecondorderconvergentinspacestepandtimestep.