Abstract : We present an unified approach of periodic homogenization and singular limit in a nonperiodic setting for a family of Hamilton-Jacobi-Bellman equations associated to control problems. The aim is to provide a qualitative analysis by means of tools coming from weak KAM theory and to give a detailed description of the limit problem using invariant measures of a flow related to the controlled dynamics.
Type de document :
Document associé à des manifestations scientifiques
NETCO 2014 - New Trends in Optimal Control, Jun 2014, Tours, France
https://hal.inria.fr/hal-01024609
Contributeur : Hasnaa Zidani
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Soumis le : mercredi 16 juillet 2014 - 13:49:20
Dernière modification le : lundi 21 mars 2016 - 17:44:23
Document(s) archivé(s) le : lundi 24 novembre 2014 - 16:21:07
Antonio Siconolfi. Asymptotic models for Hamilton-Jacobi-Bellman equations. NETCO 2014 - New Trends in Optimal Control, Jun 2014, Tours, France. 〈hal-01024609〉
