简介：

简介：TheexponentialpassivefilteringproblemforaclassofnonlinearMarkovjumpsystemswithuncertaintiesandtime-delaysisstudied.Theuncertainparametersareassumedunknownbutnormbounded,andthenonlinearitiessatisfythequadraticcondition.Basedonthepassivefilteringtheory,thesufficientconditionfortheexistenceofthemode-dependentpassivefilterisgivenbyanalyzingthereconstructedobserversystem.ByusingtheappropriateLyapunov-Krasovskiifunctionandapplyinglinearmatrixinequalities,thedesignschemeofthepassivefilterisderivedanddescribedasanoptimizationone.Thepresentedexponentialpassivefiltermakestheerrordynamicsystemsexponentiallystochasticallystableforalltheadmissibleuncertainties,time-delaysandnonlinearities,hasthebetterabilitiesofstatetrackingandsatisfiesthegivenpassivenormindex.Simulationresultsdemonstratethevalidityoftheproposedapproach.

简介：ThispaperstudiestherobuststochasticstabilizationandrobustH∞controlforlineartime-delaysystemswithbothMarkovianjumpparametersandunknownnorm-boundedparameteruncertainties.ThisproblemcanbesolvedonthebasisofstochasticLyapunovapproachandlinearmatrixinequality(LMI)technique.SufficientconditionsfortheexistenceofstochasticstabilizationandrobustH∞statefeedbackcontrollerarepresentedintermsofasetofsolutionsofcoupledLMIs.Finally,anumericalexampleisincludedtodemonstratethepracticabilityoftheproposedmethods.