Infinite-horizon problems under periodicity constraint

Joël Blot (1) , Abdelkader Bouadi (2) , Bruno Nazaret (1)

1 SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)
2 Université 20 Août 1955 Skikda

We study soùe infinite-horizon optimization problems on spaces of periodic functions for non periodic Lagrangians. The main strategy relies on the reduction to finite horizon thanks in the introduction of an avering operator.We then provide existence results and necessary optimality conditions in which the corresponding averaged Lagrangian appears.

Mots clés: weighted Sobolev spaces; Infinite-horizon variational problems; periodic trajectory

Domaines: Optimisation et contrôle [math.OC]

Joël Blot, Abdelkader Bouadi, Bruno Nazaret. Infinite-horizon problems under periodicity constraint. 2016. ⟨hal-01264886⟩