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arXiv · 2507.06024

Second order optimality conditions in a new Lagrangian formulation for optimal control problems

Michael Konopik·Sigrid Leyendecker·Sofya Maslovskaya·Sina Ober-Blöbaum·Rodrigo T. Sato Martín de Almagro
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Abstract

It has been shown recently that optimal control problems with the dynamical constraint given by a second order system admit a regular Lagrangian formulation. This implies that the optimality conditions can be obtained in a new form based on the variational approach. In this paper we extend the first order necessary optimality conditions obtained previously to second order optimality conditions. This results in a complete characterization of the optimality conditions in a new Lagrangian form.

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Michael Konopik, Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Blöbaum, Rodrigo T. Sato Martín de Almagro. 2025-07-08. Second order optimality conditions in a new Lagrangian formulation for optimal control problems. https://arxiv.org/abs/2507.06024

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