TY - JOUR
T1 - Continuity of optimal control costs and its application to weak KAM theory
JF - Calculus of Variations and Partial Differential Equations. Volume 39, Issue 1, 2010, Pages 213-232
Y1 - 2010
A1 - Andrei A. Agrachev
A1 - Paul Lee
AB - 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.
PB - SISSA
UR - http://hdl.handle.net/1963/6459
N1 - 23 pages, 1 figures
U1 - 6405
U2 - Mathematics
U4 - 1
U5 - MAT/05 ANALISI MATEMATICA
ER -