%0 Journal Article
%T Continuity of Optimal Control Costs and its application to Weak KAM Theory
%A A. Agrachev
%A P. Lee
%J Mathematics
%D 2009
%I arXiv
%X We prove continuity of certain cost functions arising from optimal control of affine control systems. We give sharp sufficient conditions for this continuity. As an application, we prove a version of weak KAM theorem and consider the Aubry-Mather problems corresponding to these systems.
%U http://arxiv.org/abs/0909.3826v2