简介:Thispaperstudiesthedelay-dependentstabilityproblemofdiscrete-timeinterconnectedsystemswithtime-varyingdelays.ByusingvectorLyapunovfunctionapproachandlinearmatrixinequalities(LMIs),newstabilityconditionsarederived.Theseresultsproposedinthispaperareallatsubsystemslevel.Aftercomparingwiththeexistingresults,itisshownthattheseconditionsarelessconservative.Anumericalexampleispresentedtodemonstratetheeffectivenessoftheresults.
简介:Theleft-inversesystemwithminimalorderanditsalgorithmsofdiscrete-timenonlinearsystemsarestudiedinalinearalgebraicframework.Thegeneralstructureofleft-inversesystemisdescribedandcomputedinsymbolicalgorithm.Twoalgorithmsaregivenforconstructingleft-inversesystemswithminimalorder.
简介:Inthispaper,dynamicsofthediscrete-timepredator-preysystemwithAlleeeffectareinvestigatedindetail.ConditionsoftheexistenceforflipbifurcationandHopfbifurcationarederivedbyusingthecentermanifoldtheoremandbifurcationtheory,andthenfurtherillustratedbynumericalsimulations.ChaosinthesenseofMarottoisprovedbybothanalyticalandnumericalmethods.Numericalsimulationsincludedbifurcationdiagrams,Lyapunovexponents,phaseportraits,fractaldimensionsdisplaynewandrichdynamicalbehavior.Morespecifically,apartfromstabledynamics,thispaperpresentsthefindingofchaosinthesenseofMarottotogetherwithahostofinterestingphenomenaconnectedtoit.TheanalyticresultsandnumericalsimulationsdemostratesthattheAlleeconstantplaysaveryimportantrolefordynamicalbehavior.ThedynamicalbehaviorcanmovefromcomplexinstablestatestostablestatesastheAlleeconstantincreases(withinalimitedvalue).Combiningtheexistingresultsinthecurrentliteraturewiththenewresultsreportedinthispaper,amorecompleteunderstandingofthediscrete-timepredator-preywithAlleeeffectisgiven.
简介:AccordingtoaclassofnonlinearSISOdiscretesystems,thefuzzyslidingmodecontrolproblemisconsidered.BasedonTakagi-Sugenofuzzymodelmethod,afuzzymodelisdesignedtodescribethelocaldynamicperformanceofthegivennonlinearsystems.Byusingtheslidingmodecontrolapproach,theglobalcontrollerisconstructedbyintegratingallthelocalstatecontrollersandtheglobalsupervisoryslidingmodecontroller.Thetrackingproblemcanbeeasilydealtwithbytakingadvantageofthecombinedcontroller,andtherobustnessperformanceisimprovedfinally.Asimulationexampleisgiventoshowtheeffectivenessandfeasibilityofthemethodproposed.
简介:最近,为小摆动差错的快速的察觉的一条途径为连续时间的系统基于确定的学习理论被建议。在这份报纸,一个差错察觉计划经由确定的学习为非线性的分离时间的系统的一个班被建议。由使用确定的学习算法的分离时间的扩展,一般差错工作(即,内部动力学)内在的正常和非线性的分离时间的系统的差错模式被分离时间的动态光线的基础功能(RBF)局部地精确地接近网络。然后,有嵌入的系统动力学的获得的知识的评估者的一个银行被构造,并且一套剩余被获得并且过去常测量监视系统的动力学和训练系统的动力学之间的差别。一个差错察觉决定计划根据最小的剩余原则被介绍,即,一个差错的出现能被比较剩余的大小在一个分离时间的背景检测。差错detectability分析被执行,察觉时间的上面的界限被导出。一个模拟例子被给说明建议计划的有效性。
简介:Therobustexponentialstabilityofalargerclassofdiscrete-timerecurrentneuralnetworks(RNNs)isexploredinthispaper.Anovelneuralnetworkmodel,namedstandardneuralnetworkmodel(SNNM),isintroducedtoprovideageneralframeworkforstabilityanalysisofRNNs.MostoftheexistingRNNscanbetransformedintoSNNMstobeanalyzedinaunifiedway.ApplyingLyapunovstabilitytheorymethodandS-Proceduretechnique,twousefulcriteriaofrobustexponentialstabilityforthediscrete-timeSNNMsarederived.Theconditionspresentedareformulatedaslinearmatrixinequalities(LMIs)tobeeasilysolvedusingexistingefficientconvexoptimizationtechniques.Anexampleispresentedtodemonstratethetransformationprocedureandtheeffectivenessoftheresults.
简介:Aguaranteedcostcontrolproblemforaclassoflineardiscrete-timeswitchedsystemswithnorm-boundeduncertaintiesisconsideredinthisarticle.Thepurposeistoconstructaswitchingruleanddesignastatefeedbackcontrollaw,suchthat,theclosed-loopsystemisasymptoticallystableandtheclosed-loopcostfunctionvalueisnotmorethanaspecifiedupperboundforalladmissibleuncertaintiesundertheconstructedswitchingrule.AsufficientconditionfortheexistenceofguaranteedcostcontrollersandswitchingrulesisderivedbasedontheLyapunovtheorytogetherwiththelinearmatrixinequality(LMI)approach.Furthermore,aconvexoptimizationproblemwithLMIconstraintsisformulatedtoselectthesuboptimalguaranteedcostcontroller.Anumericalexampledemonstratesthevalidityoftheproposeddesignapproach.
简介:Themaincontributionofthispaperistopresentstabilitysynthesisresultsfordiscrete-timepiecewiseaffine(PWA)systemswithpolytopictime-varyinguncertaintiesandfordiscrete-timePWAsystemswithnorm-boundeduncertaintiesrespectively.Thebasicideaoftheproposedapproachesistoconstructpiecewise-quadratic(PWQ)Lyapunovfunctionstoguaranteethestabilityoftheclosed-loopsystems.ThepartitioninformationofthePWAsystemsistakenintoaccountandeachpolytopicoperatingregionisouterapproximatedbyanellipsoid,thensufficientconditionsfortherobuststabilizationarederivedandexpressedasasetoflinearmatrixinequalities(LMIs).Twoexamplesaregiventoillustratetheproposedtheoreticalresults.
简介:Thispaperanalyzesafinite-bufferrenewalinputsingleserverdiscrete-timequeueingsystemwithmultipleworkingvacations.Theserverworksatadifferentrateratherthancompletelystoppingworkingduringthemultipleworkingvacations.Theservicetimesduringaserviceperiod,servicetimeduringavacationperiodandvacationtimesaregeometricallydistributed.ThequeueisanalyzedusingthesupplementaryvariableandtheimbeddedMarkov-chaintechniques.Weobtainsteady-statesystemlengthdistributionsatpre-arrival,arbitraryandoutsideobserver'sobservationepochs.Theanalysisofactualwaiting-timedistributionandsomeperformancemeasuresarecarriedout.Wepresentsomenumericalresultsanddiscussspecialcasesofthemodel.
简介:Adual-ratepreviewcontrolstrategyforatypeofdiscrete-timesystemisproposedbasedonthetheoryofmultiratecontrol.First,byusingthediscreteliftingtechnique,thegeneraldual-ratediscrete-timesystemisconvertedintoasingle-rateaugmentedsystem.Onthisbasis,theaugmentederrorsystemisconstructedbyintroducingafirst-orderdifferenceoperatorandthepreviewablereferencesignal.Thenthetrackingproblemistransformedintoaregulatorproblemoftheaugmentederrorsystem.Theoptimalpreviewcontrollawoftheaugmentederrorsystemisobtainedbyusingstandardlinearquadraticoptimalpreviewcontroltheory,andthentheoptimalpreviewcontrolleroftheoriginalsystemisderived.Inaddition,thenecessaryandsufficientconditionsforthecontrolleraregiven.Finally,simulationresultsshowtheeffectivenessoftheproposedmethod.
简介:这篇论文与polytopic无常处理柔韧的稳定性的问题和一个分离时间的系统的柔韧的稳定。一个新、简单的方法被介绍给直接decoupleLyapunov矩阵和系统动态矩阵。把这个方法与参数依赖者Lyapunov功能途径相结合产出作为特殊情况包括一些存在的新标准。一个数字例子超过存在的说明改进。关键词柔韧的稳定性-柔韧的稳定-参数依赖者Lyapunov功能-线性矩阵不平等这个工作被中国(号码20050533015)和中国的国家科学基金的医生题目基础部分地支持(号码60425310,60574014)。张先明在1968出生了。他从中央南方大学在应用数学收到了硕士学位,在1991的中国,并且他在中央南方大学在控制理论和工程收到了博士度,在2006的中国。从2005年4月到2006年4月,他是在中央Queensland大学的一个访问学者,澳大利亚。现在,他是中央南方大学的一个副教授。他的当前的研究兴趣是时间延期系统,柔韧的控制和它的应用程序。吴敏在1963出生了。他从中央南方大学在工程收到了学士和硕士学位,长沙,在1983和1986的中国分别地。他从东京工学院在工程收到了一个博士学位,东京,在1999的日本。现在,他是中央南方大学的一个教授。他收到了在1999设计IFAC的实践论文奖金的控制(联合与M。Nakano和J.H。她)。他的当前的研究兴趣是过程控制,柔韧的控制,和聪明的系统。Jinhua她在1963出生了。他从中央南方大学在工程收到了学士,长沙,中国在1983,并且在1990的一个硕士和在从东京工学院的工程的在1993的一个博士,东京,日本。在1993,他加入了Mechatronics的部门,工程的学校,东京工业大学;并且在2004年4月,他转了到Bionics的大学鈥檚学院,在他当前是一个副教授的地方。他收到了在1999设计IFAC的实践论文奖金的控制(�
简介:Inthispaper,anewsimulationapproachforsolvingthemixedtrainschedulingproblemonthehigh-speeddoubletrackraillineispresented.Basedonthediscrete-timemovementmodel,weproposecontrolstrategiesformixedtrainmovementwithdifferentspeedsonahigh-speeddouble-trackrailline,includingbrakingstrategy,priorityrule,travellingstrategy,anddepartingrule.Anewdetailedalgorithmisalsopresentedbasedontheproposedcontrolstrategiesformixedtrainmovement.Moreover,weanalyzethedynamicpropertiesofrailtrafficflowonahigh-speedrailline.Usingourproposedmethod,wecaneffectivelysimulatethemixedtrainscheduleonarailline.Thenumericalresultsdemonstratethatanappropriatedecreaseofthedepartureintervalcanenhancethecapacity,andasuitableincreaseofthedistancebetweentwoadjacentstationscanenhancetheaveragespeed.Meanwhile,thecapacityandtheaveragespeedwillbeincreasedbyappropriatelyenhancingtheratiooffastertrainnumbertoslowertrainnumberfrom1.
简介:Inthispaper,theoptimalcontrolofaclassofgeneralaffinenonlineardiscrete-time(DT)systemsisundertakenbysolvingtheHamiltonJacobi-Bellman(HJB)equationonlineandforwardintime.Theproposedapproach,referrednormallyasadaptiveorapproximatedynamicprogramming(ADP),usesonlineapproximators(OLAs)tosolvetheinfinitehorizonoptimalregulationandtrackingcontrolproblemsforaffinenonlinearDTsystemsinthepresenceofunknowninternaldynamics.Boththeregulationandtrackingcontro...