简介:Inthispaper,weformulateauniformmathematicalframeworkforstudyingswitchedsystemswithpiecewiselinearpartitionedstatespaceandstatedependentswitching.Basedonknownresultsfromthetheoryofdifferentialinclusions,wedeviseaLyapunovstabilitytheoremsuitableforthisclassofswitchedsystems.Withthis,weproveaLyapunovstabilitytheoremforpiecewiselinearswitchedsystemsbymeansofaconcreteclassofLyapunovfunctions.Contrarytoexistingresultsonthesubject,thestabilitytheoremsinthispaperincludeFilippov(orrelaxed)solutionsandallowinfiniteswitchinginfinitetime.Finally,weshowthatforaclassofpiecewiselinearswitchedsystems,theinertiaofthesystemisnotsufficienttodetermineitsstability.Anumberofexamplesareprovidedtoillustratetheconceptsdiscussedinthispaper.
简介:这篇论文为随机的中立Markov处理全球指数的稳定性问题跳有不明确的参数和多重时间延期的系统(MJS)。延期分别地被看作经常,时间变化盒子,和不确定性被假定是围住的标准。由选择适当Lyapunov-Krasovskii功能,它给足够的条件以便不明确的中立MJS是全球性为所有可被考虑的不确定性的指数地随机的联盟者马厩。稳定性标准在线性矩阵不平等(LMI)形式被提出,它能容易在实践被检查。最后,二个数字例子被利用说明发达技术的有效性。
简介:Forthemodelpredictivecontroller,terminalstatesatisfyingacertaininequalitycanguaranteethestabilitybutitissomewhatconservative.Inthispaper,wegiveamorerelaxedstabilityconditionbyconsideringtheeffectoftheinitialstate.Basedonthatweproposeanalgorithmtoguaranteethattheclosedloopsystemisasymptoticallystable.Finally,theconclusionsareverifiedbyasimulation.
简介:TherearesomeadjustableparameterswhichdirecdyinfluencetheperformanceandstabilityofParticleSwarmOp-ttimizationalgorithm.Inthispaper,stabilitiesofPSOwithconstantparametersandtime-varyingparametersareanalyzedwithoutLipschitzconstraint.Necessaryandsufficientstabilityconditionsforaccelerationfactorψandinertiaweightwarepresented.Exper-imentsonbenchmarkfunctionsshowthegoodperfomanceofPSOsatisfyingthestabilitycondition,evenwithoutLipschitzcon-straint.Andtheinertiaweightwvalueisenhancedto(-1,1).
简介:这份报纸学习nonconvex的一个班的系统稳定性问题微分包括。起初,基本稳定性结果被优点获得局部地,Lipschitz连续Lyapunov工作。而且,一个概括不变性原则和相关吸引力条件被建议并且证明了由于凸状的缺席克服技术困难。在技术分析,新奇珍视集合的衍生物被建议处理nonsmooth系统和nonsmoothLyapunov功能。另外,获得的结果与在有常规Lyapunov功能的凸的微分包括的情况中的存在的一致。最后,解说性的例子被给显示出方法的有效性。
简介:Thispaperstudiesthedelay-dependentstabilityproblemofdiscrete-timeinterconnectedsystemswithtime-varyingdelays.ByusingvectorLyapunovfunctionapproachandlinearmatrixinequalities(LMIs),newstabilityconditionsarederived.Theseresultsproposedinthispaperareallatsubsystemslevel.Aftercomparingwiththeexistingresults,itisshownthattheseconditionsarelessconservative.Anumericalexampleispresentedtodemonstratetheeffectivenessoftheresults.
简介:在这篇论文,我们为冲动的控制系统以二项措施学习稳定性和围住的海角。由使用变化Lyapunov方法,稳定性和围住的海角上的一个新变化比较原则和一些标准被获得。一个例子被举说明建议结果的效率。
简介:Fuzzycontrolproblemsforsystemswithboundeduncertaindelayswerestudied.BasedonLyapunovstabilitytheoryandmatrixtheory,anonlinearstatefeedbackfuzzycontrollerwasdesignedbylinearmatrixinequalities(LMI)approach,andtheglobalexponentialstabilityoftheclosed-loopsystemwasstrictlyproved.Forafuzzycontrolsystemwithboundeduncertaindelays,undertheglobalexponentialstabilityconditionwhichisreducedtoplinearmatrixinequalities,thecontrollerguaranteesstabilityperformancesofstatevariables.Finally,thesimulationshowsthevalidityofthemethodinthispaper.
简介:Thispaperdealswiththeproblemofrobuststabilityforcontinuous-timesingularsystemswithstatedelayandparameteruncertainty.Theuncertainsingularsystemswithdelayconsideredinthispaperareassumedtoberegularandimpulsefree.Bydecomposingthesystemsintoslowandfastsubsystems,arobustdelay-dependentasymptoticstabilitycriteriabasedonlinearmatrixinequalityisproposed,whichisderivedbyusingLyapunov-Krasovskiifunctionals,neithermodeltransformationnorboundingforcrosstermsisrequiredinthederivationofourdelay-dependentresult.Therobustdelay-dependentstabilitycriterionproposedinthispaperisasufficientcondition.Finally,numericalexamplesandMatlabsimulationareprovidedtoillustratetheeffectivenessoftheproposedmethod.
简介:WeinvestigatetheexponentialstabilityinthemeansquaresenseforthesystemswithMarkovianswitchingandimpulseeffects.BasedonthestatisticpropertyoftheMarkovprocess,astabilitycriterionisestablished.Then,bytheparameterizationsviaafamilyofauxiliarymatrices,thedynamicaloutputfeedbackcontrollercanbesolvedviaanLMIapproach,whichmakestheclosed-loopsystemexponentiallystable.Anumericalexampleisgiventodemonstratethemethod.
简介:在这篇论文,稳定性和骚乱变细在效果被考虑的不明确的存取延期和包退学学生下面为联网的控制系统(NCS)的一个类发出。我们的目的是在延期和包退学学生率,系统稳定性和H_∞骚乱变细性质在下面被保存到需要的水平上发现条件。在这篇论文的Thebasic想法是提出象一个分离时间的交换系统的如此的联网的控制系统。然后NCS“稳定性和表演问题能为交换系统被归结为相应问题,它被学习十年了并且为很多结果在文学为哪个是可得到的。在这篇论文的技术在thediscrete时间基于最近的进步交换系统和片明智的Lyapunov函数。
简介:Newdelay-independentanddehy-dependentstabilitycriteriaforlinearsystemswithmultipletime-varyingdelaysareestablishedbyusingthetime-domainmethod.Theresultsarederivedbasedonanew-typestabilitytheoremforgeneralretardeddynamicalsystemsandnewanalysistechniquesdevelopedintheauthor'spreviouswork.Unlikesomeresultsintheliterature,alloftheestablishedresultsdonotdependonthederivativeoftime-varyingdelays.Therefore,theyaresuitableforthecasewithveryfasttime-varyingdelays.Inaddition,someremarksarealsogiventoexphintheobtainedresultsandtopointoutthelimitationsofthepreviousresultsintheliterature.
简介:Thispaperaddressestherandomtime-delaysandpacketlossesissuesofnetworkedcontrolsystems(NCS)withintheframeworkofjumplinearsystemswithmode-dependenttime-delays.Anewdelay-dependentconditiononthestochasticstabilityisproposedbyanewstochasticLyapunov-Krasovskiifunctional.Theconditionisformulatedasasetofcoupledlinearmatrixinequalities(LMIs).Asanexampletoverifytheproposedmethod,aninverted-pendulumsystemwithnetworkisconsidered.Thesimulationresultsdemonstratetheeffectivenessofthemethod.
简介:Westudiedtheconjunctionpracticalstabilityandcontrollabilityoflarge-scaleimpulsivecontrolsystemsbyusingthecomparisonsystemsandvectorLyapunovfunctions.Thenthelessconservativesufficientconditionsforconjunctionpracticalstabilityandcontrollabilityoflarge-scaleimpulsivecontrolsystemwereobtained.