The structure of extremals of a class of second order variational problems
Moshe Marcus, Alexander J. Zaslavski (1999)
Annales de l'I.H.P. Analyse non linéaire
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Moshe Marcus, Alexander J. Zaslavski (1999)
Annales de l'I.H.P. Analyse non linéaire
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Alexander Zaslavski (2008)
Control and Cybernetics
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Zaslavski, Alexander J. (1998)
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J. Rodrigues Dias (1990)
RAIRO - Operations Research - Recherche Opérationnelle
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I Catto, C Le Bris, P.-L Lions (2001)
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A. Ioffe (2005)
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Denis Pennequin (2007)
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In this paper, we are concerned with periodic, quasi-periodic (q.p.) and almost periodic (a.p.) Optimal Control problems. After defining these problems and setting them in an abstract setting by using Abstract Harmonic Analysis, we give some structure results of the set of solutions, and study the relations between periodic and a.p. problems. We prove for instance that for an autonomous concave problem, the a.p. problem has a solution if and only if all problems (periodic with fixed...