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 systems
2010
39
1-2
213
232
Agrachev, A.; Lee, P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13943
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