{"ID":2897079,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2507.06024","arxiv_id":"2507.06024","title":"Second order optimality conditions in a new Lagrangian formulation for optimal control problems","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.","short_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 opt...","url_abs":"https://arxiv.org/abs/2507.06024","url_pdf":"https://arxiv.org/pdf/2507.06024v2","authors":"[\"Michael Konopik\",\"Sigrid Leyendecker\",\"Sofya Maslovskaya\",\"Sina Ober-Blöbaum\",\"Rodrigo T. Sato Martín de Almagro\"]","published":"2025-07-08T14:31:16Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}