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.
Antonio Siconolfi. Asymptotic models for Hamilton-Jacobi-Bellman equations. NETCO 2014 - New Trends in Optimal Control, Jun 2014, Tours, France. ⟨hal-01024609⟩