{"date_updated":"2026-01-06T18:29:15Z","date_created":"2026-01-06T18:28:18Z","type":"preprint","status":"public","author":[{"full_name":"Konopik, Michael","last_name":"Konopik","first_name":"Michael"},{"first_name":"Sigrid","last_name":"Leyendecker","full_name":"Leyendecker, Sigrid"},{"full_name":"Maslovskaya, Sofya","last_name":"Maslovskaya","first_name":"Sofya"},{"full_name":"Sina Ober-Blöbaum, Sina Ober-Blöbaum","last_name":"Sina Ober-Blöbaum","first_name":"Sina Ober-Blöbaum"},{"full_name":"Almagro, Rodrigo T. Sato Martín de","last_name":"Almagro","first_name":"Rodrigo T. Sato Martín de"}],"department":[{"_id":"636"}],"abstract":[{"text":"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.","lang":"eng"}],"language":[{"iso":"eng"}],"external_id":{"arxiv":["2507.06024"]},"user_id":"87909","publication":"arXiv:2507.06024","citation":{"bibtex":"@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} }","mla":"Konopik, Michael, et al. “Second Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems.” <i>ArXiv:2507.06024</i>, 2025.","ieee":"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,” <i>arXiv:2507.06024</i>. 2025.","ama":"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. <i>arXiv:250706024</i>. Published online 2025.","apa":"Konopik, M., Leyendecker, S., Maslovskaya, S., Sina Ober-Blöbaum, S. O.-B., &#38; Almagro, R. T. S. M. de. (2025). Second order optimality conditions in a new Lagrangian formulation for optimal control problems. In <i>arXiv:2507.06024</i>.","chicago":"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.” <i>ArXiv:2507.06024</i>, 2025.","short":"M. Konopik, S. Leyendecker, S. Maslovskaya, S.O.-B. Sina Ober-Blöbaum, R.T.S.M. de Almagro, ArXiv:2507.06024 (2025)."},"title":"Second order optimality conditions in a new Lagrangian formulation for optimal control problems","_id":"63510","year":"2025"}