CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR7641
Abstract : In this article we establish new second order necessary and suffi-cient optimality conditions for a class of control-affine problems with a scalar control and a scalar state constraint. These optimality conditions extend to the constrained state framework the Goh transform, which is the classical tool for obtaining an extension of the Legendre condition.
https://hal.inria.fr/hal-01081111
Contributeur : J. Frederic Bonnans
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Soumis le : mardi 22 décembre 2015 - 16:22:51
Dernière modification le : mercredi 25 avril 2018 - 10:45:37
Document(s) archivé(s) le : samedi 29 avril 2017 - 23:34:44
Maria Soledad Aronna, J. Frederic Bonnans, Bean San Goh. Second order analysis of state-constrained control-affine problems. Mathematical Programming, Series A, Springer, 2016, 160 (1), pp.115-147. 〈hal-01081111v2〉
