https://hal.inria.fr/hal-00916594Lopes, SofiaSofiaLopesDMA - Departamento de Matemática e Aplicações - Universidade do Minho = University of Minho [Braga]Fontes, FernandoFernandoFontesUniversidade do Porto = University of Portode Pinho, Maria Do RosárioMaria Do Rosáriode PinhoDEEC - Departamento de Engenharia Electrotécnica e de Computadores [Porto] - Universidade do Porto = University of PortoAn integral-type constraint qualification to guarantee nondegeneracy of the maximum principle for optimal control problems with state constraintsHAL CCSD2013[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]Bouzat, EstelleSensitivity Analysis for Deterministic Controller Design - SADCO - - EC:FP7:PEOPLE2011-01-01 - 2014-12-31 - 264735 - VALID - 2013-12-10 14:39:032022-05-03 17:52:022013-12-10 14:39:03enJournal articles10.1016/j.sysconle.2013.05.0051For optimal control problems involving ordinary differential equations and functional inequality state constraints, the maximum principle may degenerate, producing no useful information about minimizers. This is known as the degeneracy phenomenon. Several non-degenerate forms of the maximum principle, valid under different constraint qualifications, have been proposed in the literature. In this paper we propose a new constraint qualification under which a nondegenerate maximum principle is validated. In contrast with existing results, our constraint qualification is of an integral type. An advantage of the proposed constraint qualification is that it is verified on a larger class of problems with nonsmooth data and convex velocity sets.