@article {2010,
	title = {Continuity of optimal control costs and its application to weak KAM theory},
	journal = {Calculus of Variations and Partial Differential Equations. Volume 39, Issue 1, 2010, Pages 213-232},
	number = {arXiv:0909.3826;},
	year = {2010},
	note = {23 pages, 1 figures},
	publisher = {SISSA},
	abstract = {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.},
	doi = {10.1007/s00526-010-0308-4},
	url = {http://hdl.handle.net/1963/6459},
	author = {Andrei A. Agrachev and Paul Lee}
}
