简介:利用变分原理研究超线性常微分p-Laplace系统周期解的存在性.在带有脉冲和阻尼作用项时,根据易一型山路定理,得到了系统多重周期解的存在性.
简介:Klapper(1994)showedthatthereexistsaclassofgeometricsequenceswiththemaximalpossiblelinearcomplexitywhenconsideredassequencesoverGF(2),butthesesequenceshaveverylowlinearcomplexitieswhenconsideredassequencesoverGF(p)(pisanoddprime).ThislinearcomplexityofabinarysequencewhenconsideredasasequenceoverGF(p)iscalledGF(p)complexity.ThisindicatesthatthebinarysequenceswithhighGF(2)linearcomplexitiesareinadequateforsecurityinthepracticalapplication,while,theirGF(p)linearcomplexitiesarealsoequallyimportant,evenwhentheonlyconcerniswithattacksusingtheBerlekamp-Masseyalgorithm[Massey,J.L.,Shift-registersynthesisandbchdecoding,IEEETransactionsonInformationTheory,15(1),1969,122–127].Fromthisperspective,inthispapertheauthorsstudytheGF(p)linearcomplexityofHall’ssexticresiduesequencesandsomeknowncyclotomic-set-basedsequences.
简介:ThispaperconsidersthereliablecontroldesignforT-Sfuzzysystemswithprobabilisticactuatorsfaultsandrandomtime-varyingdelays.Thefaultsofeachactuatoroccursrandomlyanditsfailureratesaregovernedbyasetofunrelatedrandomvariablessatisfyingcertainprobabilisticdistribution.Intermsoftheprobabilisticfailuresofeachactuatorandtime-varyingrandomdelays,newfaultmodelisproposed.Basedonthenewfuzzymodel,reliablecontrollerisdesignedandsufficientconditionsfortheexponentiallymeansquarestability(EMSS)ofT-SfuzzysystemsarederivedbyusingLyapunovfunctionalmethodandlinearmatrixinequality(LMI)technique.Itshouldbenotedthattheobtainedcriteriadependonnotonlythesizeofthedelay,butalsotheprobabilitydistributionofit.Finally,anumericalexampleisgiventoshowtheeffectivenessoftheproposedmethod.