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

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

2009-09-21

arxiv.org/abs/0909.3826v2

Mathematics

Optimization and Control

23 pages, 1 figures, added explanations in the proofs of the main theorem and the example

Scientific paper

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.

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