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Start Over Author "Lee, Paul W." Journal calculus of variations and partial differential equations
3 results on '"Lee, Paul W."'

1. Continuity of optimal control costs and its application to weak KAM theory

Author

Agrachev, Andrei and Lee, Paul W.

Subjects
Mathematics, Theoretical, Mathematical and Computational Physics, Calculus of Variations and Optimal Control, Optimization, Systems Theory, Control, Analysis, 35F21, 49L25
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.

Published
2010

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