Homogenization Results for a Deterministic Multi-domains Periodic Control Problem - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Documents Associated With Scientific Events Year : 2014

Homogenization Results for a Deterministic Multi-domains Periodic Control Problem

Abstract

We consider periodic 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, Guy Barles, Ariela Briani and Emmanuel Chasseigne have shown that several value functions can be defined, depending, in particular, of 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 "à la Lions-Papanicolaou-Varadhan" with suitable adaptations, the first case has to be treated by control methods (dynamic programming). Speaker: Nicoletta Tchou
Fichier principal
Vignette du fichier
Tchou-NETCO2014.pdf (1.38 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01024602 , version 1 (18-07-2014)

Identifiers

  • HAL Id : hal-01024602 , version 1

Cite

Nicoletta Tchou, Guy Barles, Ariela Briani, Emmanuel Chasseigne. Homogenization Results for a Deterministic Multi-domains Periodic Control Problem. NETCO 2014 - New Trends in Optimal Control, Jun 2014, Tours, France. ⟨hal-01024602⟩
299 View
114 Download

Share

Gmail Facebook X LinkedIn More