Second order optimality conditions in a new Lagrangian formulation for optimal control problems
M. Konopik, S. Leyendecker, S. Maslovskaya, S.O.-B. Sina Ober-Blöbaum, R.T.S.M. de Almagro, ArXiv:2507.06024 (2025).
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Author
Konopik, Michael;
Leyendecker, Sigrid;
Maslovskaya, Sofya;
Sina Ober-Blöbaum, Sina Ober-Blöbaum;
Almagro, Rodrigo T. Sato Martín de
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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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arXiv:2507.06024
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Konopik M, Leyendecker S, Maslovskaya S, Sina Ober-Blöbaum SO-B, Almagro RTSM de. Second order optimality conditions in a new Lagrangian formulation for optimal control problems. arXiv:250706024. Published online 2025.
Konopik, M., Leyendecker, S., Maslovskaya, S., Sina Ober-Blöbaum, S. O.-B., & Almagro, R. T. S. M. de. (2025). Second order optimality conditions in a new Lagrangian formulation for optimal control problems. In arXiv:2507.06024.
@article{Konopik_Leyendecker_Maslovskaya_Sina Ober-Blöbaum_Almagro_2025, title={Second order optimality conditions in a new Lagrangian formulation for optimal control problems}, journal={arXiv:2507.06024}, author={Konopik, Michael and Leyendecker, Sigrid and Maslovskaya, Sofya and Sina Ober-Blöbaum, Sina Ober-Blöbaum and Almagro, Rodrigo T. Sato Martín de}, year={2025} }
Konopik, Michael, Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Blöbaum Sina Ober-Blöbaum, and Rodrigo T. Sato Martín de Almagro. “Second Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems.” ArXiv:2507.06024, 2025.
M. Konopik, S. Leyendecker, S. Maslovskaya, S. O.-B. Sina Ober-Blöbaum, and R. T. S. M. de Almagro, “Second order optimality conditions in a new Lagrangian formulation for optimal control problems,” arXiv:2507.06024. 2025.
Konopik, Michael, et al. “Second Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems.” ArXiv:2507.06024, 2025.
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