No-gap Second-order Optimality Conditions for Optimal Control Problems with a Single State Constraint and Control

Abstract : The paper deals with optimal control problems with only one control variable and one state constraint, of arbitrary order. We consider the case of finitely many boundary arcs and touch times. We obtain a no-gap theory of second-order conditions, allowing to characterize second-order quadratic growth.
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https://hal.inria.fr/inria-00070189
Contributeur : Rapport de Recherche Inria <>
Soumis le : vendredi 19 mai 2006 - 19:26:11
Dernière modification le : vendredi 25 mai 2018 - 12:02:04
Document(s) archivé(s) le : dimanche 4 avril 2010 - 20:28:42

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  • HAL Id : inria-00070189, version 1

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J. Frederic Bonnans, Audrey Hermant. No-gap Second-order Optimality Conditions for Optimal Control Problems with a Single State Constraint and Control. [Research Report] RR-5837, INRIA. 2006, pp.30. ⟨inria-00070189⟩

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