Existence and Lipschitzian Regularity for Relaxed Minimizers

Manuel Guerra () and Andrey Sarychev ()
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Manuel Guerra: CEOC and ISEG-T.U.Lisbon
Andrey Sarychev: University of Florence, DiMaD

A chapter in Mathematical Control Theory and Finance, 2008, pp 231-250 from Springer

Abstract: Summary In this contribution we follow two main goals: to reconstruct a result announced in [4] about existence of relaxed minimizers for (nonconvex) Lagrange problems of optimal control (Theorem 1); to derive conditions for Lipschitzian regularity of trajectories corresponding to relaxed minimizers (Theorem 3). In passing, elaborating on the approach used in [10], we provide a condition for Lipschitzian regularity of non relaxed minimizers (Theorem 2).

Keywords: Maximum Principle; Optimal Control Problem; North Pole; Pontryagin Maximum Principle; Growth Assumption (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69532-5_13

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DOI: 10.1007/978-3-540-69532-5_13

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