WhenusingthePontryaginMaximumPrincipleinoptimalcontrol problems,themostdifficultpartofthenumericalsolutionis associatedwiththenon-linearoperationofthemaximizationof theHamiltonianoverthecontrolvariables.Foraclassof problems,theoptimalcontrolvectorisavectorfunctionwith continuoustimederivatives.Amethodispresentedtofindthis smoothcontrolwithoutthemaximizationofthetheHamiltonian. Threeillustrativeexamplesareconsidered. Onsmoothoptimalcontroldetermination IlyaIoslovichandPer-OlofGutman 2004-02-20