Existence and lipschitzian regularity for relaxed minimizers

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Abstract

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). © 2008 Springer-Verlag Berlin Heidelberg.

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Guerra, M., & Sarychev, A. (2008). Existence and lipschitzian regularity for relaxed minimizers. In Mathematical Control Theory and Finance (pp. 231–250). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-69532-5_13

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