简介：Anewstochasticoptimalcontrolstrategyforrandomlyexcitedquasi-integrableHamiltoniansystemsusingmagneto-theological(MR)dampersisproposed.ThedynamicbehaviorofanMRdamperischaracterizedbytheBouc-Wenhystereticmodel.ThecontrolforceproducedbytheMRdamperisseparatedintoapassivepartincorporatedintheuncontrolledsystemandasemi-activeparttobedetermined.ThesystemcombiningtheBouc-Wenhystereticforceisconvertedintoanequivalentnon-hystereticnonlinearstochasticcontrolsystem.ThenItostochasticdifferentialequationsarederivedfromtheequivalentsystembyusingthestochasticaveragingmethod.Adynamicalprogrammingequationforthecontrolleddiffusionprocessesisestablishedbasedonthestochasticdynamicalprogrammingprinciple.Thenon-clippingnonlinearoptimalcontrollawisobtainedforacertainperformanceindexbyminimizingthedynamicalprogrammingequation.Finally,anexampleisgiventoillustratetheapplicationandeffectivenessoftheproposedcontrolstrategy.

简介：Thisbookrecordsacollectionof42selectedpaperspresentedatUK-ChinaParticleTechnologyForumIIIheldatBirmingham,UK,on2011-7-3/6.ThepriorForumIIwasheldinGuiyang,Chinain2009,andForumIinLeeds,UKin2007.

简介：Basedonthecovariantprolongationstructuretechnique,weconstructtheintegrablehigher-orderdeformationsofthe(2+1)-dimensionalHeisenbergferromagnetmodelandobtaintheirsu(2)×R(λ)prolongationstructures.ByassociatingthesedeformedmultidimensionalHeisenbergferromagnetmodelswiththemovingspacecurveinEuclideanspaceandusingtheHasimotofunction,wederivetheirgeometricalequivalentcounterparts,i.e.,higher-order(2+1)-dimensionalnonlinearSchrdingerequations.