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

TitleContinuity of optimal control costs and its application to weak KAM theory
Publication TypeJournal Article
Year of Publication2010
AuthorsAgrachev, AA, Lee, P
JournalCalculus of Variations and Partial Differential Equations. Volume 39, Issue 1, 2010, Pages 213-232
Abstract

We prove continuity of certain cost functions arising from optimal control of\\r\\naffine control systems. We give sharp sufficient conditions for this\\r\\ncontinuity. As an application, we prove a version of weak KAM theorem and\\r\\nconsider the Aubry-Mather problems corresponding to these systems.

URLhttp://hdl.handle.net/1963/6459
DOI10.1007/s00526-010-0308-4

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