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

A. Agrachev; P. Lee

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

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arxiv 0909.3826 v2 pith:K5I6Y4SJ submitted 2009-09-21 math.OC math.AP

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

A. Agrachev , P. Lee This is my paper

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keywords continuitycontrolapplicationoptimalprovesystemsweakaffine

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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.

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

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