Continuity of optimal control costs and its application to weak KAM theory
- Author(s): Agrachev, Andrei
- Lee, Paul W.
- et al.
Published Web Locationhttps://doi.org/10.1007/s00526-010-0308-4
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.
Many UC-authored scholarly publications are freely available on this site because of the UC Academic Senate's Open Access Policy. Let us know how this access is important for you.