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arXiv · 1107.0161

Quadratic order conditions for bang-singular extremals

Maria Soledad Aronna·J. Frederic Bonnans·Andrei V. Dmitruk·Pablo Lotito
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Abstract

This paper deals with optimal control problems for systems affine in the control variable. We consider nonnegativity constraints on the control, and finitely many equality and inequality constraints on the final state. First, we obtain second order necessary optimality conditions. Secondly, we derive a second order sufficient condition for the scalar control case.

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Maria Soledad Aronna, J. Frederic Bonnans, Andrei V. Dmitruk, Pablo Lotito. 2011-07-01. Quadratic order conditions for bang-singular extremals. https://doi.org/10.3934/naco.2012.2.511

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