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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
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Submitted on : Friday, July 18, 2014 - 2:14:10 PM
Last modification on : Friday, May 20, 2022 - 9:04:46 AM
Long-term archiving on: : Monday, November 24, 2014 - 4:17:33 PM


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  • HAL Id : hal-01024602, version 1


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⟩



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