Continuity of Optimal Control Costs and its application to Weak KAM Theory Export

@article{citeulike:5818647, abstract = {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.}, archivePrefix = {arXiv}, author = {Agrachev, A. and Lee, P.}, citeulike-article-id = {5818647}, citeulike-linkout-0 = {http://arxiv.org/abs/0909.3826}, citeulike-linkout-1 = {http://arxiv.org/pdf/0909.3826}, day = {21}, eprint = {0909.3826}, keywords = {transport, weak-kam}, month = {Sep}, posted-at = {2009-09-22 06:50:20}, priority = {2}, title = {Continuity of Optimal Control Costs and its application to Weak KAM Theory}, url = {http://arxiv.org/abs/0909.3826}, year = {2009} }

TY - JOUR ID - citeulike:5818647 L3 - citeulike-article-id:5818647 N2 - 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. TI - Continuity of Optimal Control Costs and its application to Weak KAM Theory KW - transport KW - weak-kam AU - Agrachev, A AU - Lee, P PY - 2009/Sep/21/ UR - http://arxiv.org/abs/0909.3826 ER -