Second-Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems

Konopik M, Leyendecker S, Maslovskaya S, Ober-Blöbaum S, Sato Martin de Almagro R (2026)

Publication Language: English

Publication Type: Conference contribution

Publication year: 2026

Book Volume: 26

Conference Proceedings Title: Procc. App. Math. Mech. (PAMM)

DOI: 10.1002/pamm.70141

Abstract

It has been shown recently that optimal control problems with the dynamical constraint given by 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 in study by Konopik et al. to second-order optimality conditions. This results in a complete characterization of the optimality conditions in a new Lagrangian form.

Authors with CRIS profile

Michael Konopik Institute of Applied Dynamics Sigrid Leyendecker Institute of Applied Dynamics Rodrigo Sato Martin de Almagro Institute of Applied Dynamics

Involved external institutions

Universität Paderborn DE Germany (DE)

How to cite

APA:

Konopik, M., Leyendecker, S., Maslovskaya, S., Ober-Blöbaum, S., & Sato Martin de Almagro, R. (2026). Second-Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems. In Procc. App. Math. Mech. (PAMM).

MLA:

Konopik, Michael, et al. "Second-Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems." Proceedings of the Procc. App. Math. Mech. (PAMM) 2026.

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