No-gap second-order optimality conditions for optimal control problems with a single state constraint and control |
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| Authors: | J. Frédéric Bonnans Audrey Hermant |
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| Affiliation: | 1. CMAP, Ecole Polytechnique, INRIA Futurs, Route de Saclay, 91128, Palaiseau, France
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| Abstract: | The paper deals with optimal control problems with only one control variable and one state constraint, of arbitrary order. We consider the case of finitely many boundary arcs and touch times. We obtain a no-gap theory of second-order conditions, allowing to characterize second-order quadratic growth. |
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