Second order optimality conditions in a new Lagrangian formulation for optimal control problems
Optimization and Control
2025-07-25 v2
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.
Cite
@article{arxiv.2507.06024,
title = {Second order optimality conditions in a new Lagrangian formulation for optimal control problems},
author = {Michael Konopik and Sigrid Leyendecker and Sofya Maslovskaya and Sina Ober-Blöbaum and Rodrigo T. Sato Martín de Almagro},
journal= {arXiv preprint arXiv:2507.06024},
year = {2025}
}