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 cost and its application to weak KAM theory / Agrachev, A.; Lee, P.. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 39:1-2(2010), pp. 213-232. [10.1007/s00526-010-0308-4]
Continuity of optimal control cost and its application to weak KAM theory
Agrachev, A.;
2010-01-01
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 systemsFile in questo prodotto:
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