简介：ThispaperconsidersthereliablecontroldesignforT-Sfuzzysystemswithprobabilisticactuatorsfaultsandrandomtime-varyingdelays.Thefaultsofeachactuatoroccursrandomlyanditsfailureratesaregovernedbyasetofunrelatedrandomvariablessatisfyingcertainprobabilisticdistribution.Intermsoftheprobabilisticfailuresofeachactuatorandtime-varyingrandomdelays,newfaultmodelisproposed.Basedonthenewfuzzymodel,reliablecontrollerisdesignedandsufficientconditionsfortheexponentiallymeansquarestability(EMSS)ofT-SfuzzysystemsarederivedbyusingLyapunovfunctionalmethodandlinearmatrixinequality(LMI)technique.Itshouldbenotedthattheobtainedcriteriadependonnotonlythesizeofthedelay,butalsotheprobabilitydistributionofit.Finally,anumericalexampleisgiventoshowtheeffectivenessoftheproposedmethod.

简介：在具有一致凸对偶空间的Banach空间中讨论了关于增生算子T的方程f=x+Tx的迭代解，其结果推广和改进了Chidume和Zhu的结果。

简介：补充四元数线性变换下四元数正态分布的性质，给出四元数非中心X^2分布、t分布，F分布的定义，导出密度函数及其性质，并研究四元数正态分布条件下样本均值及方差的分布。

简介：theAlternatingSegmentCrank-Nicolsonschemeforone-dimensionaldiffusionequationhasbeendevelopedin[1],andtheAlternatingBlockCrank-Nicolsonmethodfortwo-dimensionalproblemin[2].Themethodshavetheadvantagesofparallelcomputing,stabilityandgoodaccuracy.Inthispaperforthetwo-dimensionaldiffusionequation,thenetregionisdividedintobands,aspecialkindofblock.ThismethodiscalledthealternatingBandCrank-Nicolsonmethod.

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简介：本文讨论一类滞后量为[t]的中立型泛涵微分方程　　　　x′(t)-c(t)x′(t-[t]+p(t)f(x(t-[t]))=0　t≥0的解的性质,得到所考虑的方程存在非振动解的充分条件和非零解的变化趋势。