简介：ThispaperisconcernedwiththeH-infinitycontrolproblemforaclassofcascadeswitchednonlinearsystems.Eachswitchedsysteminthisclassiscomposedofazero-inputasymptoticallystablenonlinearpart,whichisalsoaswitchedsystem,andalinearizablepartwhichiscontrollable.ConditionsunderwhichtheH-infinitycontrolproblemissolvableunderarbitraryswitchinglawandundersomedesignedswitchinglawarederivedrespectively.Thenonlinearstatefeedbackandswitchinglawaredesigned.WeexploitthestructuralcharacteristicsoftheswitchednonlinearsystemstoconstructcommonLyapunovfunctionsforarbitraryswitchingandtofindasingleLyapunovfunctionfordesignedswitchinglaw.TheproposedmethodsdonotrelyonthesolutionsofHamilton-Jacobiinequalities.

简介：Thispaperisconcernedwithanoptimalcontrolproblemofanablation-transpirationcoolingcontrolsystemwithStefan-Signoriniboundarycondition.Asthecontinuationoftheauthors'previouspaper,theDubovitsRii-MilyutinfunctionalapproachisagainadoptedininvestigationofthePontryagin'smaximunprincipleofthesystem.Thenecessaryoptimalityconditionispresentedfortheproblemwithfreefinalhorizonandphaseconstraints.