Normality and Nondegeneracy for Optimal Control Problems with State Constraints

Fernando A. C. C. Fontes () and Hélène Frankowska ()
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Fernando A. C. C. Fontes: Universidade do Porto
Hélène Frankowska: Sorbonne Universits, UPMC Univ Paris 06, Univ Paris Diderot

Journal of Optimization Theory and Applications, 2015, vol. 166, issue 1, No 6, 115-136

Abstract: Abstract In this paper, we investigate normal and nondegenerate forms of the maximum principle for optimal control problems with state constraints. We propose new constraint qualifications guaranteeing nondegeneracy and normality that have to be checked on smaller sets of points of an optimal trajectory than those in known sufficient conditions. 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.

Keywords: Optimal control; Maximum principle; State constraints; Constraint qualifications; Normality; Degeneracy; Nonsmooth analysis; Oriented distance; 49K15 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s10957-015-0704-1

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