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Seminario di Equazioni Differenziali e Applicazioni: A homogenization result for a deterministic regional periodic control problem

Giovedì 23 Aprile 2015, ore 12:00 - Aula 2BC30 - Ariela Briani

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SEMINARIO DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI

Giovedì 23 Aprile 2015 alle ore 12:00 in aula 2BC30, Ariela Briani (Università di Tours) terrà un seminario dal titolo "A homogenization result for a deterministic regional periodic control problem".

Abstract
We consider homogenization problems in the framework of deterministic optimal control when the dynamics and running costs are completely different in two (or more) complementary domains of the space R^N. For such optimal control problems, we have shown that several value functions can be defined, depending, in particular, if the choice is to use only "regular strategies" or to use also "singular strategies". We study the homogenization problem in these two different cases. It is worth pointing out that, if the second one can be handled by usual partial differential equations method "a la Lions-Papanicolaou-Varadhan" with suitable adaptations, the first case has to be treated by control methods (dynamic programming).
Joint work with G. Barles, E. Chasseigne et N. Tchou.

Rif. Int. M. Bardi, P. Mannucci, F. Rampazzo.

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