a1 UniversitéParis-Est Marne-la-Vallée, LAMA, UMR8050, 5, boulevard Descartes, Cité Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée, France
a2 Université de Perpignan, LAMPS, 52, av. Paul Alduy, 66860 Perpignan and École Polytechnique, CMAP, Route de Saclay, 91128 Palaiseau Cedex, France. email@example.com
The aim of the paper is to provide a linearization approach to the -control problems. We begin by proving a semigroup-type behaviour of the set of constraints appearing in the linearized formulation of (standard) control problems. As a byproduct we obtain a linear formulation of the dynamic programming principle. Then, we use the approach and the associated linear formulations. This seems to be the most appropriate tool for treating problems in continuous and lower semicontinuous setting.
(Received February 9 2011)
(Revised May 14 2011)
(Online publication August 17 2011)
Mathematics Subject Classification: