Geometric Approach to Second-Order Sufficient Optimality Conditions in Optimal ControlReport as inadecuate




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* Corresponding author 1 C&O - Equipe combinatoire et optimisation UPMC - Université Pierre et Marie Curie - Paris 6, CNRS - Centre National de la Recherche Scientifique : FRE3232

Abstract : We consider the Bolza optimal control problem with control constraints and propose new second-order sufficient optimality conditions. These conditions are applicable under much weaker regularity assumptions than those known in the literature. In particular, the reference control may be merely measurable and the dynamics may be discontinuous in the time variable. Our approach is based on a new decomposition result for control constraints, involving second-order tangents.

Keywords : Optimal Control Sufficient Optimality Conditions Second-Order





Author: Daniel Hoehener -

Source: https://hal.archives-ouvertes.fr/



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