| Title | Continuity of optimal control costs and its application to weak KAM theory |
| Publication Type | Journal Article |
| Year of Publication | 2010 |
| Authors | Agrachev, AA, Lee, P |
| Journal | Calculus of Variations and Partial Differential Equations. Volume 39, Issue 1, 2010, Pages 213-232 |
| 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. |
| URL | http://hdl.handle.net/1963/6459 |
| DOI | 10.1007/s00526-010-0308-4 |