简介：让k是一个积极整数。为任何积极整数x=i=0xi2在哪儿的i,xi=0，1，我们由wx定义x的重量wxi=0xi。为有0tk的任何整数t1，让St{一，b2|a+bt现代派2k1，wa+wbk，0一，b2k2}。这份报纸为S的集的势给明确的公式<潜水艇class=“a-plus-plus”>在wt的情况中的t3并且为S的集的势的上面的界限<潜水艇class=“a-plus-plus”>t什么时候wt=4。从这，一个人那么结束那一Tu和邓在2011建议的conjecture是真的如果wt4。

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简介：InsightfultheoremsareestablishedoninterrelationshipsamongcoalitionandnoncooperativestabilityconceptsdefinedwithintheparadigmoftheGraphModelforConflictResolution.Morespecifically,thenewlydefinedcoalitionstabilitydefinitionsthatareconsideredarecoalitionNashstability(CNash),coalitiongeneralmetarationality(CGMR),coalitionsymmetricmetarationality(CSMR)andcoalitionsequentialstability(CSEQ),alongwiththeirearlier-definednoncooperativeversions.Arangeofinterestingnewtheoremsarederivedtoestablishconnectionsamongthesecoalitionstabilityconceptsaswellasbetweennoncooperativeandcoalitionstabilitydefinitions.ApplicationswithrespecttothegamesofPrisoner′sDilemmaandChicken,aswellasagroundwatercontaminationdispute,demonstratehowthevariousstabilitydefinitionscanbeappliedinpracticeandconfirmthevalidityofsomeofthetheoremsaswellaspointout,byexample,certaintypesofrelationshipswhichcannothold.

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简介：这份报纸学习解决方案forstochastic的存在，唯一，和稳定性冲动的系统。由采用象Lyapunov一样函数，某足够的条件ofthe随机的冲动的系统areestablished的解决方案的全球存在，唯一，和稳定性。而且，结果被专业化到线性随机的impulsivesystems的盒子。最后，一些例子被给说明我们的理论的应用。

简介：Inrecentyears,populationgrowthmodelswithspatialdiffusionhavebeenextensivelystudiedbymanyauthors(forexample,see[1-5]).Inthispaper,apopulationgrowthmodelisconsideredwithadiscreteage-dependenceandspatialdiffusion,andisinvestigatedinasemigroupframework.Thespectralpropertiesofthepopulationoper-atoraregiven.Onthebasisofsuchspectralconsideration,theasymptoticbehaviourofthesemigroupgeneratedbythepopulationoperatorisobtained.Finally,anonlinearpopulationgrowthmodelisconsideredanditsstabilityisanalyzed.

简介：有在一个紧缩的公制的空格的固定和更低的pseudocontinuity的优化问题的一个类的最小的解决方案的必要稳定性的描述被给。它证明这里考虑的任何优化问题分别地有一个必要部件一个必要最小的答案如果并且仅当它的最小的答案集合分别地被连接单条和那有一个唯一的最小的答案的那些优化问题然而形成一个剩余集合，它不必稠密。

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

简介：延期微分系统广泛地在许多不同的域里被使用。决定他们的equilibria的本地稳定性是重要的。为有延期依赖者参数的系统，equilibria的稳定性分析复杂、困难。在这篇论文，我们将与延期依赖者参数调查典型方程的一种类型的最终的稳定性。我们的结果证明有延期依赖者参数的典型方程可以是之一在之间最终稳定、最终不稳定、交替稳定、不稳定。Applyingour结果，最终的稳定性能经常直接被决定并且不必呼吁数学软件。二个例子在这篇论文被给。

简介：Asystemofthree-unitnetworkswithcoupledcellsisinvestigated.ThegeneralformulaforbifurcationdirectionofHopfbifurcationiscalculatedandtheestimateformulaofperiodoftheperiodicsolutionisgiven.

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

简介：GivenastablematrixA∈Cn×n,therearesomesimplesimultaneousinequalitieswhosecoefficientsrelyonA.For（?）PH=P∈Cn×n,ifPsatisfiestheseinequlities,thenPA+AHP<0.Asanapplicationofthemainresults,thestabilityofthematrixfamilyistreated.Besides,somegeometricpropertiesofthesetofalltheLyapunovmatricesofagivenstablematrixareconsidered.

简介：Thispaperconstructedportfoliosaccordingtothegrowthratesandtheirstabilityoffirm'stotalstockholders'equitypershareandnetincomepershare,usingallthefirms'informationofShanghaiA-sharemarket.Wefoundthatthemarketexhibitssomeoverreactiontothegrowthraieoffirm'snetincomepershare,andisn'tsensitivetothestabilityoffirm'sgrowthrates.

简介：ForaclassofSISOnonlinearcontrolsystemswithparameteruncertaintyanalmostdisturbancedecouplingproblemwithstabilityisdefinedandinvestigated.Backsteppingtechniqueprovidesapractcaldesignmethodofcontroller,underwhichtheL2gainfromthedisturbancetothecontrolledoutputcanbearbitrarilysmallsubjecttononlinearuncertaintiesandtheclose-loopsystemisinternallyasymptoticallystable.

简介：Thestabilityofsupplychainsystemiskeytoimplementefficientlyinventorypoliciesandimprovequalityofserviceinthesupplychain.Ifthesupplychainsystemwereunstable,thelead-timewouldbeuncertain.Asaresult,directlyaffectstheprocessofmanufacture,andtheservicelevel.Inthispaper,weanalyzethestabilityofthesupplychainsystemunderperturbationsofdynamicparametersbasedontheCobb-Douglasproductionfunctionandstudyinfluencesonsupplychainperformance.Weprovethatthesupplychainsystem,withtheincreasesofthere-productioninputfunding,becomesunstable.Further,whentheoptimalcombinationofinputparameterelements,thesupplychainsystembecomesunstable.

简介：Inthispaper,theauthorsanalyzethestabilityofaclassofinterconnectedsystemswithsubsystemunmodeleddynamicsanddynamicinteractionsemployingdecentralizedadaptivecontrollersdesignedbyWen,Zhou,andWang(2008)inthepresenceofactuatorfailures.Itwillbeshownthattheglobalstabilityoftheremainingclosed-loopsystemisstillensuredandtheoutputsarealsoregulatedtozerowhensomesubsystemsbreakdown.

简介：这篇论文进一步与多重延期调查n维的线性系统的稳定性。用Laplace变换，我们与多重延期为n维的线性系统介绍典型方程的一个定义。而且，一个足够的条件全球性为Lyapunov被达到一般multi-delaylinear系统的asymptotical稳定性。特别地，我们的结果显示出线性延期系统有的那一些uncommensurate是的类似的稳定性标准同量的线性延期系统的。这结果也概括陈和穆尔(2002)的。最后，这条定理被用于多延期的混乱同步联合Chua的系统。

简介：这份报纸为联合冲动的Markovian的一个类被奉献给稳定性的调查跳网络(CIMJRDSN)上的反应散开系统。由使用图理论，一个系统的方法被提供为CIMJRDSN构造全球Lyapunov功能。把功能和随机的分析方法基于Lyapunov，与网络的拓扑学性质联系的一些新奇稳定性原则被建立。