%0 Journal Article
%J Calculus of Variations and Partial Differential Equations. Volume 39, Issue 1, 2010, Pages 213-232
%D 2010
%T Continuity of optimal control costs and its application to weak KAM theory
%A Andrei A. Agrachev
%A Paul Lee
%X We prove continuity of certain cost functions arising from optimal control of\\r\\naffine control systems. We give sharp sufficient conditions for this\\r\\ncontinuity. As an application, we prove a version of weak KAM theorem and\\r\\nconsider the Aubry-Mather problems corresponding to these systems.
%B Calculus of Variations and Partial Differential Equations. Volume 39, Issue 1, 2010, Pages 213-232
%I SISSA
%G en
%U http://hdl.handle.net/1963/6459
%1 6405
%2 Mathematics
%4 1
%# MAT/05 ANALISI MATEMATICA
%$ Submitted by Andrei Agrachev (agrachev@sissa.it) on 2013-02-05T14:56:31Z\\nNo. of bitstreams: 1\\n0909.3826v2.pdf: 264638 bytes, checksum: 5f13730dcb51f57d19a692ea1d6c48c6 (MD5)
%R 10.1007/s00526-010-0308-4