[{"language":[{"iso":"eng"}],"_id":"63557","user_id":"87909","department":[{"_id":"636"}],"abstract":[{"lang":"eng","text":"We discretise a recently proposed new Lagrangian approach to optimal control problems with dynamics described by force-controlled Euler-Lagrange equations (Konopik et al., in Nonlinearity 38:11, 2025). The resulting discretisations are in the form of discrete Lagrangians. We show that the discrete necessary conditions for optimality obtained provide variational integrators for the continuous problem, akin to Karush-Kuhn-Tucker (KKT) conditions for standard direct approaches. This approach paves the way for the use of variational error analysis to derive the order of convergence of the resulting numerical schemes for both state and costate variables and to apply discrete Noether’s theorem to compute conserved quantities, distinguishing itself from existing geometric approaches. We show for a family of low-order discretisations that the resulting numerical schemes are ‘doubly-symplectic’, meaning they yield forced symplectic integrators for the underlying controlled mechanical system and overall symplectic integrators in the state-adjoint space. Multi-body dynamics examples are solved numerically using the new approach. In addition, the new approach is compared to standard direct approaches in terms of computational performance and error convergence. The results highlight the advantages of the new approach, namely, better performance and convergence behaviour of state and costate variables consistent with variational error analysis and automatic preservation of certain first integrals."}],"status":"public","type":"journal_article","publication":"Multibody System Dynamics","title":"On the variational discretisation of optimal control problems for unconstrained Lagrangian dynamics","doi":"10.1007/s11044-025-10138-1","date_updated":"2026-01-12T11:35:27Z","publisher":"Springer Science and Business Media LLC","date_created":"2026-01-12T11:33:54Z","author":[{"first_name":"Michael","last_name":"Konopik","full_name":"Konopik, Michael"},{"full_name":"Leyendecker, Sigrid","last_name":"Leyendecker","first_name":"Sigrid"},{"first_name":"Sofya","last_name":"Maslovskaya","full_name":"Maslovskaya, Sofya","id":"87909"},{"first_name":"Sina","id":"16494","full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum"},{"first_name":"Rodrigo T.","last_name":"Sato Martín de Almagro","full_name":"Sato Martín de Almagro, Rodrigo T."}],"year":"2026","citation":{"ieee":"M. Konopik, S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, and R. T. Sato Martín de Almagro, “On the variational discretisation of optimal control problems for unconstrained Lagrangian dynamics,” <i>Multibody System Dynamics</i>, 2026, doi: <a href=\"https://doi.org/10.1007/s11044-025-10138-1\">10.1007/s11044-025-10138-1</a>.","chicago":"Konopik, Michael, Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Blöbaum, and Rodrigo T. Sato Martín de Almagro. “On the Variational Discretisation of Optimal Control Problems for Unconstrained Lagrangian Dynamics.” <i>Multibody System Dynamics</i>, 2026. <a href=\"https://doi.org/10.1007/s11044-025-10138-1\">https://doi.org/10.1007/s11044-025-10138-1</a>.","ama":"Konopik M, Leyendecker S, Maslovskaya S, Ober-Blöbaum S, Sato Martín de Almagro RT. On the variational discretisation of optimal control problems for unconstrained Lagrangian dynamics. <i>Multibody System Dynamics</i>. Published online 2026. doi:<a href=\"https://doi.org/10.1007/s11044-025-10138-1\">10.1007/s11044-025-10138-1</a>","short":"M. Konopik, S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R.T. Sato Martín de Almagro, Multibody System Dynamics (2026).","bibtex":"@article{Konopik_Leyendecker_Maslovskaya_Ober-Blöbaum_Sato Martín de Almagro_2026, title={On the variational discretisation of optimal control problems for unconstrained Lagrangian dynamics}, DOI={<a href=\"https://doi.org/10.1007/s11044-025-10138-1\">10.1007/s11044-025-10138-1</a>}, journal={Multibody System Dynamics}, publisher={Springer Science and Business Media LLC}, author={Konopik, Michael and Leyendecker, Sigrid and Maslovskaya, Sofya and Ober-Blöbaum, Sina and Sato Martín de Almagro, Rodrigo T.}, year={2026} }","mla":"Konopik, Michael, et al. “On the Variational Discretisation of Optimal Control Problems for Unconstrained Lagrangian Dynamics.” <i>Multibody System Dynamics</i>, Springer Science and Business Media LLC, 2026, doi:<a href=\"https://doi.org/10.1007/s11044-025-10138-1\">10.1007/s11044-025-10138-1</a>.","apa":"Konopik, M., Leyendecker, S., Maslovskaya, S., Ober-Blöbaum, S., &#38; Sato Martín de Almagro, R. T. (2026). On the variational discretisation of optimal control problems for unconstrained Lagrangian dynamics. <i>Multibody System Dynamics</i>. <a href=\"https://doi.org/10.1007/s11044-025-10138-1\">https://doi.org/10.1007/s11044-025-10138-1</a>"},"publication_status":"published","publication_identifier":{"issn":["1384-5640","1573-272X"]}},{"date_created":"2025-05-05T09:23:38Z","author":[{"first_name":"Kathrin","last_name":"Flaßkamp","full_name":"Flaßkamp, Kathrin"},{"id":"87909","full_name":"Maslovskaya, Sofya","last_name":"Maslovskaya","first_name":"Sofya"},{"first_name":"Sina","full_name":"Ober-Blöbaum, Sina","id":"16494","last_name":"Ober-Blöbaum"},{"last_name":"Wembe Moafo","id":"95394","full_name":"Wembe Moafo, Boris Edgar","first_name":"Boris Edgar"}],"date_updated":"2025-05-05T09:24:09Z","publisher":"Springer Science and Business Media LLC","doi":"10.1007/s00498-025-00408-w","title":"Trim turnpikes for optimal control problems with symmetries","publication_status":"published","publication_identifier":{"issn":["0932-4194","1435-568X"]},"citation":{"ama":"Flaßkamp K, Maslovskaya S, Ober-Blöbaum S, Wembe Moafo BE. Trim turnpikes for optimal control problems with symmetries. <i>Mathematics of Control, Signals, and Systems</i>. Published online 2025. doi:<a href=\"https://doi.org/10.1007/s00498-025-00408-w\">10.1007/s00498-025-00408-w</a>","chicago":"Flaßkamp, Kathrin, Sofya Maslovskaya, Sina Ober-Blöbaum, and Boris Edgar Wembe Moafo. “Trim Turnpikes for Optimal Control Problems with Symmetries.” <i>Mathematics of Control, Signals, and Systems</i>, 2025. <a href=\"https://doi.org/10.1007/s00498-025-00408-w\">https://doi.org/10.1007/s00498-025-00408-w</a>.","ieee":"K. Flaßkamp, S. Maslovskaya, S. Ober-Blöbaum, and B. E. Wembe Moafo, “Trim turnpikes for optimal control problems with symmetries,” <i>Mathematics of Control, Signals, and Systems</i>, 2025, doi: <a href=\"https://doi.org/10.1007/s00498-025-00408-w\">10.1007/s00498-025-00408-w</a>.","apa":"Flaßkamp, K., Maslovskaya, S., Ober-Blöbaum, S., &#38; Wembe Moafo, B. E. (2025). Trim turnpikes for optimal control problems with symmetries. <i>Mathematics of Control, Signals, and Systems</i>. <a href=\"https://doi.org/10.1007/s00498-025-00408-w\">https://doi.org/10.1007/s00498-025-00408-w</a>","bibtex":"@article{Flaßkamp_Maslovskaya_Ober-Blöbaum_Wembe Moafo_2025, title={Trim turnpikes for optimal control problems with symmetries}, DOI={<a href=\"https://doi.org/10.1007/s00498-025-00408-w\">10.1007/s00498-025-00408-w</a>}, journal={Mathematics of Control, Signals, and Systems}, publisher={Springer Science and Business Media LLC}, author={Flaßkamp, Kathrin and Maslovskaya, Sofya and Ober-Blöbaum, Sina and Wembe Moafo, Boris Edgar}, year={2025} }","short":"K. Flaßkamp, S. Maslovskaya, S. Ober-Blöbaum, B.E. Wembe Moafo, Mathematics of Control, Signals, and Systems (2025).","mla":"Flaßkamp, Kathrin, et al. “Trim Turnpikes for Optimal Control Problems with Symmetries.” <i>Mathematics of Control, Signals, and Systems</i>, Springer Science and Business Media LLC, 2025, doi:<a href=\"https://doi.org/10.1007/s00498-025-00408-w\">10.1007/s00498-025-00408-w</a>."},"year":"2025","user_id":"87909","department":[{"_id":"636"}],"_id":"59792","language":[{"iso":"eng"}],"type":"journal_article","publication":"Mathematics of Control, Signals, and Systems","status":"public","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n          <jats:p>Motivated by mechanical systems with symmetries, we focus on optimal control problems possessing certain symmetries. Following recent works (Faulwasser in Math Control Signals Syst 34:759–788 2022; Trélat in Math Control Signals Syst 35:685–739 2023), which generalized the classical concept of <jats:italic>static turnpike to manifold turnpike</jats:italic> we extend the <jats:italic>exponential turnpike property</jats:italic> to the <jats:italic>exponential trim turnpike</jats:italic> for control systems with symmetries induced by abelian or non-abelian groups. Our analysis is mainly based on the geometric reduction of control systems with symmetries. More concretely, we first reduce the control system on the quotient space and state the turnpike theorem for the reduced problem. Then we use the group properties to obtain the <jats:italic>trim turnpike theorem</jats:italic> for the full problem. Finally, we illustrate our results on the Kepler problem and the rigid body problem.\r\n</jats:p>"}]},{"has_accepted_license":"1","citation":{"ama":"Maslovskaya S, Ober-Blöbaum S, Offen C, Singh P, Wembe Moafo BE. Adaptive higher order reversible integrators for memory efficient deep learning. Published online 2025.","ieee":"S. Maslovskaya, S. Ober-Blöbaum, C. Offen, P. Singh, and B. E. Wembe Moafo, “Adaptive higher order reversible integrators for memory efficient deep learning.” 2025.","chicago":"Maslovskaya, Sofya, Sina Ober-Blöbaum, Christian Offen, Pranav Singh, and Boris Edgar Wembe Moafo. “Adaptive Higher Order Reversible Integrators for Memory Efficient Deep Learning,” 2025.","apa":"Maslovskaya, S., Ober-Blöbaum, S., Offen, C., Singh, P., &#38; Wembe Moafo, B. E. (2025). <i>Adaptive higher order reversible integrators for memory efficient deep learning</i>.","short":"S. Maslovskaya, S. Ober-Blöbaum, C. Offen, P. Singh, B.E. Wembe Moafo, (2025).","bibtex":"@article{Maslovskaya_Ober-Blöbaum_Offen_Singh_Wembe Moafo_2025, title={Adaptive higher order reversible integrators for memory efficient deep learning}, author={Maslovskaya, Sofya and Ober-Blöbaum, Sina and Offen, Christian and Singh, Pranav and Wembe Moafo, Boris Edgar}, year={2025} }","mla":"Maslovskaya, Sofya, et al. <i>Adaptive Higher Order Reversible Integrators for Memory Efficient Deep Learning</i>. 2025."},"year":"2025","author":[{"full_name":"Maslovskaya, Sofya","id":"87909","last_name":"Maslovskaya","first_name":"Sofya"},{"first_name":"Sina","last_name":"Ober-Blöbaum","id":"16494","full_name":"Ober-Blöbaum, Sina"},{"full_name":"Offen, Christian","id":"85279","orcid":"0000-0002-5940-8057","last_name":"Offen","first_name":"Christian"},{"last_name":"Singh","full_name":"Singh, Pranav","first_name":"Pranav"},{"first_name":"Boris Edgar","full_name":"Wembe Moafo, Boris Edgar","id":"95394","last_name":"Wembe Moafo"}],"date_created":"2025-05-05T09:25:28Z","date_updated":"2025-09-30T15:16:09Z","title":"Adaptive higher order reversible integrators for memory efficient deep learning","type":"preprint","file":[{"relation":"main_file","success":1,"content_type":"application/pdf","file_id":"59795","file_name":"2410.09537v2.pdf","access_level":"closed","file_size":1830758,"creator":"sofyam","date_created":"2025-05-05T09:28:02Z","date_updated":"2025-05-05T09:28:02Z"}],"status":"public","abstract":[{"text":"The depth of networks plays a crucial role in the effectiveness of deep learning. However, the memory requirement for backpropagation scales linearly with the number of layers, which leads to memory bottlenecks during training. Moreover, deep networks are often unable to handle time-series data appearing at irregular intervals. These issues can be resolved by considering continuous-depth networks based on the neural ODE framework in combination with reversible integration methods that allow for variable time-steps. Reversibility of the method ensures that the memory requirement for training is independent of network depth, while variable time-steps are required for assimilating time-series data on irregular intervals. However, at present, there are no known higher-order reversible methods with this property. High-order methods are especially important when a high level of accuracy in learning is required or when small time-steps are necessary due to large errors in time integration of neural ODEs, for instance in context of complex dynamical systems such as Kepler systems and molecular dynamics. The requirement of small time-steps when using a low-order method can significantly increase the computational cost of training as well as inference. In this work, we present an approach for constructing high-order reversible methods that allow adaptive time-stepping. Our numerical tests show the advantages in computational speed when applied to the task of learning dynamical systems.","lang":"eng"}],"user_id":"85279","department":[{"_id":"636"}],"external_id":{"arxiv":["2410.09537"]},"_id":"59794","file_date_updated":"2025-05-05T09:28:02Z","language":[{"iso":"eng"}],"ddc":["510"]},{"title":"Commutator-free Cayley methods","doi":"10.1016/j.cam.2025.117184","date_updated":"2025-12-16T15:17:27Z","volume":477,"date_created":"2025-04-10T14:42:52Z","author":[{"full_name":"Wembe Moafo, Boris Edgar","id":"95394","last_name":"Wembe Moafo","first_name":"Boris Edgar"},{"first_name":"Cristian ","last_name":"Offen","full_name":"Offen, Cristian "},{"first_name":"Sofya","full_name":"Maslovskaya, Sofya","id":"87909","last_name":"Maslovskaya"},{"last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","id":"16494","first_name":"Sina"},{"first_name":"Pranav","full_name":"Singh, Pranav","last_name":"Singh"}],"year":"2025","intvolume":"       477","citation":{"short":"B.E. Wembe Moafo, C. Offen, S. Maslovskaya, S. Ober-Blöbaum, P. Singh, J. Comput. Appl. Math 477 (n.d.).","bibtex":"@article{Wembe Moafo_Offen_Maslovskaya_Ober-Blöbaum_Singh, title={Commutator-free Cayley methods}, volume={477}, DOI={<a href=\"https://doi.org/10.1016/j.cam.2025.117184\">10.1016/j.cam.2025.117184</a>}, number={15}, journal={J. Comput. Appl. Math}, author={Wembe Moafo, Boris Edgar and Offen, Cristian  and Maslovskaya, Sofya and Ober-Blöbaum, Sina and Singh, Pranav} }","mla":"Wembe Moafo, Boris Edgar, et al. “Commutator-Free Cayley Methods.” <i>J. Comput. Appl. Math</i>, vol. 477, no. 15, doi:<a href=\"https://doi.org/10.1016/j.cam.2025.117184\">10.1016/j.cam.2025.117184</a>.","apa":"Wembe Moafo, B. E., Offen, C., Maslovskaya, S., Ober-Blöbaum, S., &#38; Singh, P. (n.d.). Commutator-free Cayley methods. <i>J. Comput. Appl. Math</i>, <i>477</i>(15). <a href=\"https://doi.org/10.1016/j.cam.2025.117184\">https://doi.org/10.1016/j.cam.2025.117184</a>","ieee":"B. E. Wembe Moafo, C. Offen, S. Maslovskaya, S. Ober-Blöbaum, and P. Singh, “Commutator-free Cayley methods,” <i>J. Comput. Appl. Math</i>, vol. 477, no. 15, doi: <a href=\"https://doi.org/10.1016/j.cam.2025.117184\">10.1016/j.cam.2025.117184</a>.","chicago":"Wembe Moafo, Boris Edgar, Cristian  Offen, Sofya Maslovskaya, Sina Ober-Blöbaum, and Pranav Singh. “Commutator-Free Cayley Methods.” <i>J. Comput. Appl. Math</i> 477, no. 15 (n.d.). <a href=\"https://doi.org/10.1016/j.cam.2025.117184\">https://doi.org/10.1016/j.cam.2025.117184</a>.","ama":"Wembe Moafo BE, Offen C, Maslovskaya S, Ober-Blöbaum S, Singh P. Commutator-free Cayley methods. <i>J Comput Appl Math</i>. 477(15). doi:<a href=\"https://doi.org/10.1016/j.cam.2025.117184\">10.1016/j.cam.2025.117184</a>"},"publication_status":"submitted","issue":"15","language":[{"iso":"eng"}],"_id":"59507","department":[{"_id":"94"}],"user_id":"95394","abstract":[{"lang":"eng","text":"Differential equations posed on quadratic matrix Lie groups arise in the context of classical mechanics and quantum dynamical systems. Lie group numerical integrators preserve the constants of motions defining the Lie group. Thus, they respect important physical laws of the dynamical system, such as unitarity and energy conservation in the context of quantum dynamical systems, for instance. In this article we develop a high-order commutator free Lie group integrator for non-autonomous differential equations evolving on quadratic Lie groups. Instead of matrix exponentials, which are expensive to evaluate and need to be approximated by appropriate rational functions in order to preserve the Lie group structure, the proposed method is obtained as a composition of Cayley transforms which naturally respect the structure of quadratic Lie groups while being computationally efficient to evaluate. Unlike Cayley-Magnus methods the method is also free from nested matrix commutators."}],"status":"public","publication":"J. Comput. Appl. Math","type":"journal_article"},{"type":"journal_article","publication":"Journal of Nonlinear Science","status":"public","_id":"59797","user_id":"87909","department":[{"_id":"636"}],"language":[{"iso":"eng"}],"issue":"11","year":"2025","citation":{"apa":"Konopik, M., T. Sato Martín de Almagro, R., Maslovskaya, S., Ober-Blöbaum, S., &#38; Leyendecker, S. (2025). Variational integrators for a new Lagrangian approach to control affine systems with a quadratic Lagrange term. <i>Journal of Nonlinear Science</i>, <i>36</i>(11). <a href=\"https://doi.org/10.1007/s00332-025-10229-5\">https://doi.org/10.1007/s00332-025-10229-5</a>","short":"M. Konopik, R. T. Sato Martín de Almagro, S. Maslovskaya, S. Ober-Blöbaum, S. Leyendecker, Journal of Nonlinear Science 36 (2025).","bibtex":"@article{Konopik_T. Sato Martín de Almagro_Maslovskaya_Ober-Blöbaum_Leyendecker_2025, title={Variational integrators for a new Lagrangian approach to control affine systems with a quadratic Lagrange term}, volume={36}, DOI={<a href=\"https://doi.org/10.1007/s00332-025-10229-5\">10.1007/s00332-025-10229-5</a>}, number={11}, journal={Journal of Nonlinear Science}, author={Konopik, Michael and T. Sato Martín de Almagro, Rodrigo and Maslovskaya, Sofya and Ober-Blöbaum, Sina and Leyendecker, Sigrid}, year={2025} }","mla":"Konopik, Michael, et al. “Variational Integrators for a New Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term.” <i>Journal of Nonlinear Science</i>, vol. 36, no. 11, 2025, doi:<a href=\"https://doi.org/10.1007/s00332-025-10229-5\">10.1007/s00332-025-10229-5</a>.","chicago":"Konopik, Michael, Rodrigo T. Sato Martín de Almagro, Sofya Maslovskaya, Sina Ober-Blöbaum, and Sigrid Leyendecker. “Variational Integrators for a New Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term.” <i>Journal of Nonlinear Science</i> 36, no. 11 (2025). <a href=\"https://doi.org/10.1007/s00332-025-10229-5\">https://doi.org/10.1007/s00332-025-10229-5</a>.","ieee":"M. Konopik, R. T. Sato Martín de Almagro, S. Maslovskaya, S. Ober-Blöbaum, and S. Leyendecker, “Variational integrators for a new Lagrangian approach to control affine systems with a quadratic Lagrange term,” <i>Journal of Nonlinear Science</i>, vol. 36, no. 11, 2025, doi: <a href=\"https://doi.org/10.1007/s00332-025-10229-5\">10.1007/s00332-025-10229-5</a>.","ama":"Konopik M, T. Sato Martín de Almagro R, Maslovskaya S, Ober-Blöbaum S, Leyendecker S. Variational integrators for a new Lagrangian approach to control affine systems with a quadratic Lagrange term. <i>Journal of Nonlinear Science</i>. 2025;36(11). doi:<a href=\"https://doi.org/10.1007/s00332-025-10229-5\">10.1007/s00332-025-10229-5</a>"},"intvolume":"        36","date_updated":"2026-01-06T18:26:57Z","date_created":"2025-05-05T09:35:31Z","author":[{"last_name":"Konopik","full_name":"Konopik, Michael","first_name":"Michael"},{"full_name":"T. Sato Martín de Almagro, Rodrigo","last_name":"T. Sato Martín de Almagro","first_name":"Rodrigo"},{"last_name":"Maslovskaya","full_name":"Maslovskaya, Sofya","id":"87909","first_name":"Sofya"},{"first_name":"Sina","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","id":"16494"},{"full_name":"Leyendecker, Sigrid","last_name":"Leyendecker","first_name":"Sigrid"}],"volume":36,"title":"Variational integrators for a new Lagrangian approach to control affine systems with a quadratic Lagrange term","doi":"10.1007/s00332-025-10229-5"},{"issue":"11","year":"2025","citation":{"chicago":"Konopik, Michael, Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Blöbaum, and Rodrigo T. Sato Martín de Almagro. “A New Lagrangian Approach to Optimal Control of Second-Order Systems.” <i>Nonlinearity</i> 38, no. 11 (2025). <a href=\"https://doi.org/10.1088/1361-6544/ae1d08\">https://doi.org/10.1088/1361-6544/ae1d08</a>.","ieee":"M. Konopik, S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, and R. T. Sato Martín de Almagro, “A new Lagrangian approach to optimal control of second-order systems,” <i>Nonlinearity</i>, vol. 38, no. 11, 2025, doi: <a href=\"https://doi.org/10.1088/1361-6544/ae1d08\">10.1088/1361-6544/ae1d08</a>.","ama":"Konopik M, Leyendecker S, Maslovskaya S, Ober-Blöbaum S, T. Sato Martín de Almagro R. A new Lagrangian approach to optimal control of second-order systems. <i>Nonlinearity</i>. 2025;38(11). doi:<a href=\"https://doi.org/10.1088/1361-6544/ae1d08\">10.1088/1361-6544/ae1d08</a>","short":"M. Konopik, S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R. T. Sato Martín de Almagro, Nonlinearity 38 (2025).","bibtex":"@article{Konopik_Leyendecker_Maslovskaya_Ober-Blöbaum_T. Sato Martín de Almagro_2025, title={A new Lagrangian approach to optimal control of second-order systems}, volume={38}, DOI={<a href=\"https://doi.org/10.1088/1361-6544/ae1d08\">10.1088/1361-6544/ae1d08</a>}, number={11}, journal={Nonlinearity}, author={Konopik, Michael and Leyendecker, Sigrid and Maslovskaya, Sofya and Ober-Blöbaum, Sina and T. Sato Martín de Almagro, Rodrigo}, year={2025} }","mla":"Konopik, Michael, et al. “A New Lagrangian Approach to Optimal Control of Second-Order Systems.” <i>Nonlinearity</i>, vol. 38, no. 11, 2025, doi:<a href=\"https://doi.org/10.1088/1361-6544/ae1d08\">10.1088/1361-6544/ae1d08</a>.","apa":"Konopik, M., Leyendecker, S., Maslovskaya, S., Ober-Blöbaum, S., &#38; T. Sato Martín de Almagro, R. (2025). A new Lagrangian approach to optimal control of second-order systems. <i>Nonlinearity</i>, <i>38</i>(11). <a href=\"https://doi.org/10.1088/1361-6544/ae1d08\">https://doi.org/10.1088/1361-6544/ae1d08</a>"},"intvolume":"        38","date_updated":"2026-01-06T18:24:40Z","date_created":"2025-05-05T09:37:50Z","author":[{"last_name":"Konopik","full_name":"Konopik, Michael","first_name":"Michael"},{"full_name":"Leyendecker, Sigrid","last_name":"Leyendecker","first_name":"Sigrid"},{"first_name":"Sofya","last_name":"Maslovskaya","full_name":"Maslovskaya, Sofya","id":"87909"},{"last_name":"Ober-Blöbaum","id":"16494","full_name":"Ober-Blöbaum, Sina","first_name":"Sina"},{"last_name":"T. Sato Martín de Almagro","full_name":"T. Sato Martín de Almagro, Rodrigo","first_name":"Rodrigo"}],"volume":38,"title":"A new Lagrangian approach to optimal control of second-order systems","doi":"10.1088/1361-6544/ae1d08","type":"journal_article","publication":"Nonlinearity","status":"public","_id":"59799","user_id":"87909","department":[{"_id":"636"}],"language":[{"iso":"eng"}]},{"title":"A new Lagrangian approach to control affine systems with a quadratic Lagrange term","date_created":"2024-03-28T15:58:02Z","publisher":"American Institute of Mathematical Sciences (AIMS)","year":"2024","issue":"0","language":[{"iso":"eng"}],"keyword":["Optimal control problem","Lagrangian system","Hamiltonian system","Variations","Pontryagin's maximum principle."],"ddc":["510"],"abstract":[{"lang":"eng","text":"In this work, we consider optimal control problems for mechanical systems with fixed initial and free final state and a quadratic Lagrange term. Specifically, the dynamics is described by a second order ODE containing an affine control term. Classically, Pontryagin's maximum principle gives necessary optimality conditions for the optimal control problem. For smooth problems, alternatively, a variational approach based on an augmented objective can be followed. Here, we propose a new Lagrangian approach leading to equivalent necessary optimality conditions in the form of Euler-Lagrange equations. Thus, the differential geometric structure (similar to classical Lagrangian dynamics) can be exploited in the framework of optimal control problems. In particular, the formulation enables the symplectic discretisation of the optimal control problem via variational integrators in a straightforward way."}],"publication":"Journal of Computational Dynamics","doi":"10.3934/jcd.2024017","main_file_link":[{"url":"https://www.aimsciences.org/article/doi/10.3934/jcd.2024017","open_access":"1"}],"volume":"0","author":[{"full_name":"Leyendecker, Sigrid","last_name":"Leyendecker","first_name":"Sigrid"},{"full_name":"Maslovskaya, Sofya","id":"87909","last_name":"Maslovskaya","first_name":"Sofya"},{"first_name":"Sina","full_name":"Ober-Blöbaum, Sina","id":"16494","last_name":"Ober-Blöbaum"},{"last_name":"Almagro","full_name":"Almagro, Rodrigo T. Sato Martín de","first_name":"Rodrigo T. Sato Martín de"},{"full_name":"Szemenyei, Flóra Orsolya","last_name":"Szemenyei","first_name":"Flóra Orsolya"}],"oa":"1","date_updated":"2024-03-28T16:07:34Z","page":"0-0","citation":{"ama":"Leyendecker S, Maslovskaya S, Ober-Blöbaum S, Almagro RTSM de, Szemenyei FO. A new Lagrangian approach to control affine systems with a quadratic Lagrange term. <i>Journal of Computational Dynamics</i>. 2024;0(0):0-0. doi:<a href=\"https://doi.org/10.3934/jcd.2024017\">10.3934/jcd.2024017</a>","ieee":"S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R. T. S. M. de Almagro, and F. O. Szemenyei, “A new Lagrangian approach to control affine systems with a quadratic Lagrange term,” <i>Journal of Computational Dynamics</i>, vol. 0, no. 0, pp. 0–0, 2024, doi: <a href=\"https://doi.org/10.3934/jcd.2024017\">10.3934/jcd.2024017</a>.","chicago":"Leyendecker, Sigrid, Sofya Maslovskaya, Sina Ober-Blöbaum, Rodrigo T. Sato Martín de Almagro, and Flóra Orsolya Szemenyei. “A New Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term.” <i>Journal of Computational Dynamics</i> 0, no. 0 (2024): 0–0. <a href=\"https://doi.org/10.3934/jcd.2024017\">https://doi.org/10.3934/jcd.2024017</a>.","short":"S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R.T.S.M. de Almagro, F.O. Szemenyei, Journal of Computational Dynamics 0 (2024) 0–0.","bibtex":"@article{Leyendecker_Maslovskaya_Ober-Blöbaum_Almagro_Szemenyei_2024, title={A new Lagrangian approach to control affine systems with a quadratic Lagrange term}, volume={0}, DOI={<a href=\"https://doi.org/10.3934/jcd.2024017\">10.3934/jcd.2024017</a>}, number={0}, journal={Journal of Computational Dynamics}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Leyendecker, Sigrid and Maslovskaya, Sofya and Ober-Blöbaum, Sina and Almagro, Rodrigo T. Sato Martín de and Szemenyei, Flóra Orsolya}, year={2024}, pages={0–0} }","mla":"Leyendecker, Sigrid, et al. “A New Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term.” <i>Journal of Computational Dynamics</i>, vol. 0, no. 0, American Institute of Mathematical Sciences (AIMS), 2024, pp. 0–0, doi:<a href=\"https://doi.org/10.3934/jcd.2024017\">10.3934/jcd.2024017</a>.","apa":"Leyendecker, S., Maslovskaya, S., Ober-Blöbaum, S., Almagro, R. T. S. M. de, &#38; Szemenyei, F. O. (2024). A new Lagrangian approach to control affine systems with a quadratic Lagrange term. <i>Journal of Computational Dynamics</i>, <i>0</i>(0), 0–0. <a href=\"https://doi.org/10.3934/jcd.2024017\">https://doi.org/10.3934/jcd.2024017</a>"},"publication_identifier":{"issn":["2158-2491","2158-2505"]},"has_accepted_license":"1","publication_status":"published","article_type":"original","department":[{"_id":"636"}],"user_id":"87909","_id":"53101","status":"public","type":"journal_article"},{"language":[{"iso":"eng"}],"_id":"59791","user_id":"87909","department":[{"_id":"636"}],"status":"public","type":"conference","publication":"IFAC-PapersOnLine","title":"Symplectic Methods in Deep Learning","doi":"10.1016/j.ifacol.2024.10.118","date_updated":"2025-05-05T09:22:27Z","publisher":"Elsevier BV","author":[{"id":"87909","full_name":"Maslovskaya, Sofya","last_name":"Maslovskaya","first_name":"Sofya"},{"last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","id":"16494","first_name":"Sina"}],"date_created":"2025-05-05T09:21:13Z","volume":58,"year":"2024","citation":{"apa":"Maslovskaya, S., &#38; Ober-Blöbaum, S. (2024). Symplectic Methods in Deep Learning. <i>IFAC-PapersOnLine</i>, <i>58</i>(17), 85–90. <a href=\"https://doi.org/10.1016/j.ifacol.2024.10.118\">https://doi.org/10.1016/j.ifacol.2024.10.118</a>","bibtex":"@inproceedings{Maslovskaya_Ober-Blöbaum_2024, title={Symplectic Methods in Deep Learning}, volume={58}, DOI={<a href=\"https://doi.org/10.1016/j.ifacol.2024.10.118\">10.1016/j.ifacol.2024.10.118</a>}, number={17}, booktitle={IFAC-PapersOnLine}, publisher={Elsevier BV}, author={Maslovskaya, Sofya and Ober-Blöbaum, Sina}, year={2024}, pages={85–90} }","short":"S. Maslovskaya, S. Ober-Blöbaum, in: IFAC-PapersOnLine, Elsevier BV, 2024, pp. 85–90.","mla":"Maslovskaya, Sofya, and Sina Ober-Blöbaum. “Symplectic Methods in Deep Learning.” <i>IFAC-PapersOnLine</i>, vol. 58, no. 17, Elsevier BV, 2024, pp. 85–90, doi:<a href=\"https://doi.org/10.1016/j.ifacol.2024.10.118\">10.1016/j.ifacol.2024.10.118</a>.","chicago":"Maslovskaya, Sofya, and Sina Ober-Blöbaum. “Symplectic Methods in Deep Learning.” In <i>IFAC-PapersOnLine</i>, 58:85–90. Elsevier BV, 2024. <a href=\"https://doi.org/10.1016/j.ifacol.2024.10.118\">https://doi.org/10.1016/j.ifacol.2024.10.118</a>.","ieee":"S. Maslovskaya and S. Ober-Blöbaum, “Symplectic Methods in Deep Learning,” in <i>IFAC-PapersOnLine</i>, 2024, vol. 58, no. 17, pp. 85–90, doi: <a href=\"https://doi.org/10.1016/j.ifacol.2024.10.118\">10.1016/j.ifacol.2024.10.118</a>.","ama":"Maslovskaya S, Ober-Blöbaum S. Symplectic Methods in Deep Learning. In: <i>IFAC-PapersOnLine</i>. Vol 58. Elsevier BV; 2024:85-90. doi:<a href=\"https://doi.org/10.1016/j.ifacol.2024.10.118\">10.1016/j.ifacol.2024.10.118</a>"},"intvolume":"        58","page":"85-90","publication_status":"published","publication_identifier":{"issn":["2405-8963"]},"issue":"17"},{"user_id":"87909","department":[{"_id":"636"}],"_id":"59801","language":[{"iso":"eng"}],"type":"preprint","status":"public","date_created":"2025-05-05T09:42:19Z","author":[{"first_name":"Frédéric","full_name":"Jean, Frédéric","last_name":"Jean"},{"last_name":"Maslovskaya","full_name":"Maslovskaya, Sofya","id":"87909","first_name":"Sofya"}],"date_updated":"2025-05-05T09:43:05Z","title":"Inverse optimal control problem in the non autonomous linear-quadratic case","citation":{"ama":"Jean F, Maslovskaya S. Inverse optimal control problem in the non autonomous linear-quadratic case. Published online 2024.","ieee":"F. Jean and S. Maslovskaya, “Inverse optimal control problem in the non autonomous linear-quadratic case.” 2024.","chicago":"Jean, Frédéric, and Sofya Maslovskaya. “Inverse Optimal Control Problem in the Non Autonomous Linear-Quadratic Case,” 2024.","short":"F. Jean, S. Maslovskaya, (2024).","bibtex":"@article{Jean_Maslovskaya_2024, title={Inverse optimal control problem in the non autonomous linear-quadratic case}, author={Jean, Frédéric and Maslovskaya, Sofya}, year={2024} }","mla":"Jean, Frédéric, and Sofya Maslovskaya. <i>Inverse Optimal Control Problem in the Non Autonomous Linear-Quadratic Case</i>. 2024.","apa":"Jean, F., &#38; Maslovskaya, S. (2024). <i>Inverse optimal control problem in the non autonomous linear-quadratic case</i>."},"year":"2024"},{"publication_status":"published","publication_identifier":{"issn":["0022-3239","1573-2878"]},"citation":{"apa":"Caillau, J.-B., Djema, W., Gouzé, J.-L., Maslovskaya, S., &#38; Pomet, J.-B. (2022). Turnpike Property in Optimal Microbial Metabolite Production. <i>Journal of Optimization Theory and Applications</i>. <a href=\"https://doi.org/10.1007/s10957-022-02023-0\">https://doi.org/10.1007/s10957-022-02023-0</a>","short":"J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, J.-B. Pomet, Journal of Optimization Theory and Applications (2022).","bibtex":"@article{Caillau_Djema_Gouzé_Maslovskaya_Pomet_2022, title={Turnpike Property in Optimal Microbial Metabolite Production}, DOI={<a href=\"https://doi.org/10.1007/s10957-022-02023-0\">10.1007/s10957-022-02023-0</a>}, journal={Journal of Optimization Theory and Applications}, publisher={Springer Science and Business Media LLC}, author={Caillau, Jean-Baptiste and Djema, Walid and Gouzé, Jean-Luc and Maslovskaya, Sofya and Pomet, Jean-Baptiste}, year={2022} }","mla":"Caillau, Jean-Baptiste, et al. “Turnpike Property in Optimal Microbial Metabolite Production.” <i>Journal of Optimization Theory and Applications</i>, Springer Science and Business Media LLC, 2022, doi:<a href=\"https://doi.org/10.1007/s10957-022-02023-0\">10.1007/s10957-022-02023-0</a>.","ieee":"J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, and J.-B. Pomet, “Turnpike Property in Optimal Microbial Metabolite Production,” <i>Journal of Optimization Theory and Applications</i>, 2022, doi: <a href=\"https://doi.org/10.1007/s10957-022-02023-0\">10.1007/s10957-022-02023-0</a>.","chicago":"Caillau, Jean-Baptiste, Walid Djema, Jean-Luc Gouzé, Sofya Maslovskaya, and Jean-Baptiste Pomet. “Turnpike Property in Optimal Microbial Metabolite Production.” <i>Journal of Optimization Theory and Applications</i>, 2022. <a href=\"https://doi.org/10.1007/s10957-022-02023-0\">https://doi.org/10.1007/s10957-022-02023-0</a>.","ama":"Caillau J-B, Djema W, Gouzé J-L, Maslovskaya S, Pomet J-B. Turnpike Property in Optimal Microbial Metabolite Production. <i>Journal of Optimization Theory and Applications</i>. Published online 2022. doi:<a href=\"https://doi.org/10.1007/s10957-022-02023-0\">10.1007/s10957-022-02023-0</a>"},"year":"2022","author":[{"first_name":"Jean-Baptiste","full_name":"Caillau, Jean-Baptiste","last_name":"Caillau"},{"first_name":"Walid","full_name":"Djema, Walid","last_name":"Djema"},{"first_name":"Jean-Luc","last_name":"Gouzé","full_name":"Gouzé, Jean-Luc"},{"first_name":"Sofya","full_name":"Maslovskaya, Sofya","id":"87909","last_name":"Maslovskaya"},{"full_name":"Pomet, Jean-Baptiste","last_name":"Pomet","first_name":"Jean-Baptiste"}],"date_created":"2022-04-08T17:23:13Z","publisher":"Springer Science and Business Media LLC","date_updated":"2022-04-08T18:23:02Z","doi":"10.1007/s10957-022-02023-0","title":"Turnpike Property in Optimal Microbial Metabolite Production","type":"journal_article","publication":"Journal of Optimization Theory and Applications","status":"public","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>We consider the problem of maximization of metabolite production in bacterial cells formulated as a dynamical optimal control problem (DOCP). According to Pontryagin’s maximum principle, optimal solutions are concatenations of singular and bang arcs and exhibit the chattering or <jats:italic>Fuller</jats:italic> phenomenon, which is problematic for applications. To avoid chattering, we introduce a reduced model which is still biologically relevant and retains the important structural features of the original problem. Using a combination of analytical and numerical methods, we show that the singular arc is dominant in the studied DOCPs and exhibits the <jats:italic>turnpike</jats:italic> property. This property is further used in order to design simple and realistic suboptimal control strategies.</jats:p>"}],"user_id":"87909","department":[{"_id":"636"}],"_id":"30861","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Management Science and Operations Research","Control and Optimization"]},{"publication_identifier":{"issn":["0005-1098"]},"publication_status":"published","year":"2021","intvolume":"       132","citation":{"mla":"Djema, Walid, et al. “Turnpike Features in Optimal Selection of Species Represented by Quota Models.” <i>Automatica</i>, vol. 132, 109804, Elsevier BV, 2021, doi:<a href=\"https://doi.org/10.1016/j.automatica.2021.109804\">10.1016/j.automatica.2021.109804</a>.","bibtex":"@article{Djema_Giraldi_Maslovskaya_Bernard_2021, title={Turnpike features in optimal selection of species represented by quota models}, volume={132}, DOI={<a href=\"https://doi.org/10.1016/j.automatica.2021.109804\">10.1016/j.automatica.2021.109804</a>}, number={109804}, journal={Automatica}, publisher={Elsevier BV}, author={Djema, Walid and Giraldi, Laetitia and Maslovskaya, Sofya and Bernard, Olivier}, year={2021} }","short":"W. Djema, L. Giraldi, S. Maslovskaya, O. Bernard, Automatica 132 (2021).","apa":"Djema, W., Giraldi, L., Maslovskaya, S., &#38; Bernard, O. (2021). Turnpike features in optimal selection of species represented by quota models. <i>Automatica</i>, <i>132</i>, Article 109804. <a href=\"https://doi.org/10.1016/j.automatica.2021.109804\">https://doi.org/10.1016/j.automatica.2021.109804</a>","ieee":"W. Djema, L. Giraldi, S. Maslovskaya, and O. Bernard, “Turnpike features in optimal selection of species represented by quota models,” <i>Automatica</i>, vol. 132, Art. no. 109804, 2021, doi: <a href=\"https://doi.org/10.1016/j.automatica.2021.109804\">10.1016/j.automatica.2021.109804</a>.","chicago":"Djema, Walid, Laetitia Giraldi, Sofya Maslovskaya, and Olivier Bernard. “Turnpike Features in Optimal Selection of Species Represented by Quota Models.” <i>Automatica</i> 132 (2021). <a href=\"https://doi.org/10.1016/j.automatica.2021.109804\">https://doi.org/10.1016/j.automatica.2021.109804</a>.","ama":"Djema W, Giraldi L, Maslovskaya S, Bernard O. Turnpike features in optimal selection of species represented by quota models. <i>Automatica</i>. 2021;132. doi:<a href=\"https://doi.org/10.1016/j.automatica.2021.109804\">10.1016/j.automatica.2021.109804</a>"},"date_updated":"2022-01-26T13:15:33Z","publisher":"Elsevier BV","volume":132,"date_created":"2022-01-26T13:13:06Z","author":[{"first_name":"Walid","last_name":"Djema","full_name":"Djema, Walid"},{"first_name":"Laetitia","last_name":"Giraldi","full_name":"Giraldi, Laetitia"},{"last_name":"Maslovskaya","full_name":"Maslovskaya, Sofya","id":"87909","first_name":"Sofya"},{"last_name":"Bernard","full_name":"Bernard, Olivier","first_name":"Olivier"}],"title":"Turnpike features in optimal selection of species represented by quota models","doi":"10.1016/j.automatica.2021.109804","publication":"Automatica","type":"journal_article","status":"public","_id":"29543","department":[{"_id":"636"}],"user_id":"87909","keyword":["Electrical and Electronic Engineering","Control and Systems Engineering"],"article_number":"109804","language":[{"iso":"eng"}]},{"publication_identifier":{"isbn":["9781728113982"]},"publication_status":"published","year":"2020","citation":{"chicago":"Jean, Frederic, and Sofya Maslovskaya. “Injectivity of the Inverse Optimal Control Problem for Control-Affine Systems.” In <i>2019 IEEE 58th Conference on Decision and Control (CDC)</i>, 2020. <a href=\"https://doi.org/10.1109/cdc40024.2019.9028877\">https://doi.org/10.1109/cdc40024.2019.9028877</a>.","ieee":"F. Jean and S. Maslovskaya, “Injectivity of the inverse optimal control problem for control-affine systems,” in <i>2019 IEEE 58th Conference on Decision and Control (CDC)</i>, 2020.","ama":"Jean F, Maslovskaya S. Injectivity of the inverse optimal control problem for control-affine systems. In: <i>2019 IEEE 58th Conference on Decision and Control (CDC)</i>. ; 2020. doi:<a href=\"https://doi.org/10.1109/cdc40024.2019.9028877\">10.1109/cdc40024.2019.9028877</a>","bibtex":"@inproceedings{Jean_Maslovskaya_2020, title={Injectivity of the inverse optimal control problem for control-affine systems}, DOI={<a href=\"https://doi.org/10.1109/cdc40024.2019.9028877\">10.1109/cdc40024.2019.9028877</a>}, booktitle={2019 IEEE 58th Conference on Decision and Control (CDC)}, author={Jean, Frederic and Maslovskaya, Sofya}, year={2020} }","short":"F. Jean, S. Maslovskaya, in: 2019 IEEE 58th Conference on Decision and Control (CDC), 2020.","mla":"Jean, Frederic, and Sofya Maslovskaya. “Injectivity of the Inverse Optimal Control Problem for Control-Affine Systems.” <i>2019 IEEE 58th Conference on Decision and Control (CDC)</i>, 2020, doi:<a href=\"https://doi.org/10.1109/cdc40024.2019.9028877\">10.1109/cdc40024.2019.9028877</a>.","apa":"Jean, F., &#38; Maslovskaya, S. (2020). Injectivity of the inverse optimal control problem for control-affine systems. In <i>2019 IEEE 58th Conference on Decision and Control (CDC)</i>. <a href=\"https://doi.org/10.1109/cdc40024.2019.9028877\">https://doi.org/10.1109/cdc40024.2019.9028877</a>"},"date_updated":"2022-01-06T06:54:39Z","author":[{"last_name":"Jean","full_name":"Jean, Frederic","first_name":"Frederic"},{"first_name":"Sofya","id":"87909","full_name":"Maslovskaya, Sofya","last_name":"Maslovskaya"}],"date_created":"2020-12-21T13:01:22Z","title":"Injectivity of the inverse optimal control problem for control-affine systems","doi":"10.1109/cdc40024.2019.9028877","publication":"2019 IEEE 58th Conference on Decision and Control (CDC)","type":"conference","status":"public","_id":"20812","user_id":"87909","language":[{"iso":"eng"}]},{"publisher":"Springer Science and Business Media LLC","date_created":"2022-01-26T13:19:18Z","title":"On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry","issue":"1","year":"2020","keyword":["Geometry and Topology"],"language":[{"iso":"eng"}],"publication":"Geometriae Dedicata","date_updated":"2022-01-26T13:19:39Z","author":[{"last_name":"Jean","full_name":"Jean, Frédéric","first_name":"Frédéric"},{"first_name":"Sofya","full_name":"Maslovskaya, Sofya","id":"87909","last_name":"Maslovskaya"},{"first_name":"Igor","last_name":"Zelenko","full_name":"Zelenko, Igor"}],"volume":213,"doi":"10.1007/s10711-020-00581-z","publication_status":"published","publication_identifier":{"issn":["0046-5755","1572-9168"]},"citation":{"apa":"Jean, F., Maslovskaya, S., &#38; Zelenko, I. (2020). On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry. <i>Geometriae Dedicata</i>, <i>213</i>(1), 295–314. <a href=\"https://doi.org/10.1007/s10711-020-00581-z\">https://doi.org/10.1007/s10711-020-00581-z</a>","short":"F. Jean, S. Maslovskaya, I. Zelenko, Geometriae Dedicata 213 (2020) 295–314.","mla":"Jean, Frédéric, et al. “On Weyl’s Type Theorems and Genericity of Projective Rigidity in Sub-Riemannian Geometry.” <i>Geometriae Dedicata</i>, vol. 213, no. 1, Springer Science and Business Media LLC, 2020, pp. 295–314, doi:<a href=\"https://doi.org/10.1007/s10711-020-00581-z\">10.1007/s10711-020-00581-z</a>.","bibtex":"@article{Jean_Maslovskaya_Zelenko_2020, title={On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry}, volume={213}, DOI={<a href=\"https://doi.org/10.1007/s10711-020-00581-z\">10.1007/s10711-020-00581-z</a>}, number={1}, journal={Geometriae Dedicata}, publisher={Springer Science and Business Media LLC}, author={Jean, Frédéric and Maslovskaya, Sofya and Zelenko, Igor}, year={2020}, pages={295–314} }","ama":"Jean F, Maslovskaya S, Zelenko I. On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry. <i>Geometriae Dedicata</i>. 2020;213(1):295-314. doi:<a href=\"https://doi.org/10.1007/s10711-020-00581-z\">10.1007/s10711-020-00581-z</a>","ieee":"F. Jean, S. Maslovskaya, and I. Zelenko, “On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry,” <i>Geometriae Dedicata</i>, vol. 213, no. 1, pp. 295–314, 2020, doi: <a href=\"https://doi.org/10.1007/s10711-020-00581-z\">10.1007/s10711-020-00581-z</a>.","chicago":"Jean, Frédéric, Sofya Maslovskaya, and Igor Zelenko. “On Weyl’s Type Theorems and Genericity of Projective Rigidity in Sub-Riemannian Geometry.” <i>Geometriae Dedicata</i> 213, no. 1 (2020): 295–314. <a href=\"https://doi.org/10.1007/s10711-020-00581-z\">https://doi.org/10.1007/s10711-020-00581-z</a>."},"page":"295-314","intvolume":"       213","_id":"29545","user_id":"87909","department":[{"_id":"636"}],"type":"journal_article","status":"public"},{"language":[{"iso":"eng"}],"extern":"1","department":[{"_id":"636"}],"user_id":"87909","_id":"29546","status":"public","type":"conference_abstract","conference":{"name":"IFAC 2020 - 21rst IFAC World Congress"},"main_file_link":[{"open_access":"1","url":"https://hal.archives-ouvertes.fr/hal-02916081/document"}],"title":"The turnpike property in maximization of microbial metabolite production","date_created":"2022-01-26T13:26:36Z","author":[{"full_name":"Maslovskaya, Sofya","id":"87909","last_name":"Maslovskaya","first_name":"Sofya"},{"first_name":"Jean-Baptiste","full_name":"Caillau, Jean-Baptiste","last_name":"Caillau"},{"first_name":"Walid","full_name":"Djema, Walid","last_name":"Djema"},{"last_name":"Giraldi","full_name":"Giraldi, Laetitia","first_name":"Laetitia"},{"last_name":"Jean-Luc","full_name":"Jean-Luc, Jean-Luc","first_name":"Jean-Luc"},{"first_name":"Jean-Baptiste","last_name":"Pomet","full_name":"Pomet, Jean-Baptiste"}],"oa":"1","date_updated":"2022-01-26T13:39:01Z","citation":{"apa":"Maslovskaya, S., Caillau, J.-B., Djema, W., Giraldi, L., Jean-Luc, J.-L., &#38; Pomet, J.-B. (2020). <i>The turnpike property in maximization of microbial metabolite production</i>. IFAC 2020 - 21rst IFAC World Congress.","bibtex":"@inproceedings{Maslovskaya_Caillau_Djema_Giraldi_Jean-Luc_Pomet_2020, title={The turnpike property in maximization of microbial metabolite production}, author={Maslovskaya, Sofya and Caillau, Jean-Baptiste and Djema, Walid and Giraldi, Laetitia and Jean-Luc, Jean-Luc and Pomet, Jean-Baptiste}, year={2020} }","short":"S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, J.-B. Pomet, in: 2020.","mla":"Maslovskaya, Sofya, et al. <i>The Turnpike Property in Maximization of Microbial Metabolite Production</i>. 2020.","ama":"Maslovskaya S, Caillau J-B, Djema W, Giraldi L, Jean-Luc J-L, Pomet J-B. The turnpike property in maximization of microbial metabolite production. In: ; 2020.","ieee":"S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, and J.-B. Pomet, “The turnpike property in maximization of microbial metabolite production,” presented at the IFAC 2020 - 21rst IFAC World Congress, 2020.","chicago":"Maslovskaya, Sofya, Jean-Baptiste Caillau, Walid Djema, Laetitia Giraldi, Jean-Luc Jean-Luc, and Jean-Baptiste Pomet. “The Turnpike Property in Maximization of Microbial Metabolite Production,” 2020."},"year":"2020","quality_controlled":"1"},{"doi":"10.1109/cdc40024.2019.9029293","title":"Zermelo-Markov-Dubins problem and extensions in marine navigation","date_created":"2020-12-21T13:02:48Z","author":[{"first_name":"Jean-Baptiste","last_name":"Caillau","full_name":"Caillau, Jean-Baptiste"},{"first_name":"Sofya","last_name":"Maslovskaya","id":"87909","full_name":"Maslovskaya, Sofya"},{"full_name":"Mensch, Thomas","last_name":"Mensch","first_name":"Thomas"},{"full_name":"Moulinier, Timothee","last_name":"Moulinier","first_name":"Timothee"},{"first_name":"Jean-Baptiste","full_name":"Pomet, Jean-Baptiste","last_name":"Pomet"}],"date_updated":"2022-01-26T13:36:16Z","citation":{"apa":"Caillau, J.-B., Maslovskaya, S., Mensch, T., Moulinier, T., &#38; Pomet, J.-B. 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