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Normality and Nondegeneracy for Optimal Control Problems with State Constraints

Abstract : In this paper we investigate normal and nondegenerate forms of the maximum principle for optimal control problems with state con-straints. We propose new constraint qualifications guaranteeing non-degeneracy and normality that have to be checked on smaller sets of points of an optimal trajectory, than those in known sufficient con-ditions. In fact, the constraint qualifications proposed impose the existence of an inward pointing velocity just on the instants of time for which the optimal trajectory has an outward pointing velocity.
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Submitted on : Wednesday, January 7, 2015 - 10:00:52 AM
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Fernando Fontes, Hélène Frankowska. Normality and Nondegeneracy for Optimal Control Problems with State Constraints. Journal of Optimization Theory and Applications, Springer Verlag, 2015, 166, pp.115-136. ⟨10.1007/s10957-015-0704-1⟩. ⟨hal-01088903v2⟩



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