---
_id: '63557'
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.
author:
- first_name: Michael
  full_name: Konopik, Michael
  last_name: Konopik
- first_name: Sigrid
  full_name: Leyendecker, Sigrid
  last_name: Leyendecker
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
- first_name: Rodrigo T.
  full_name: Sato Martín de Almagro, Rodrigo T.
  last_name: Sato Martín de Almagro
citation:
  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>
  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>
  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}
    }'
  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>.
  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>.'
  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>.
  short: M. Konopik, S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R.T. Sato Martín de Almagro,
    Multibody System Dynamics (2026).
date_created: 2026-01-12T11:33:54Z
date_updated: 2026-01-12T11:35:27Z
department:
- _id: '636'
doi: 10.1007/s11044-025-10138-1
language:
- iso: eng
publication: Multibody System Dynamics
publication_identifier:
  issn:
  - 1384-5640
  - 1573-272X
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: On the variational discretisation of optimal control problems for unconstrained
  Lagrangian dynamics
type: journal_article
user_id: '87909'
year: '2026'
...
---
_id: '59792'
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>"
author:
- first_name: Kathrin
  full_name: Flaßkamp, Kathrin
  last_name: Flaßkamp
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
- first_name: Boris Edgar
  full_name: Wembe Moafo, Boris Edgar
  id: '95394'
  last_name: Wembe Moafo
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>
  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} }'
  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>.'
  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>.
  short: K. Flaßkamp, S. Maslovskaya, S. Ober-Blöbaum, B.E. Wembe Moafo, Mathematics
    of Control, Signals, and Systems (2025).
date_created: 2025-05-05T09:23:38Z
date_updated: 2025-05-05T09:24:09Z
department:
- _id: '636'
doi: 10.1007/s00498-025-00408-w
language:
- iso: eng
publication: Mathematics of Control, Signals, and Systems
publication_identifier:
  issn:
  - 0932-4194
  - 1435-568X
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Trim turnpikes for optimal control problems with symmetries
type: journal_article
user_id: '87909'
year: '2025'
...
---
_id: '59794'
abstract:
- lang: eng
  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.
author:
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
- first_name: Christian
  full_name: Offen, Christian
  id: '85279'
  last_name: Offen
  orcid: 0000-0002-5940-8057
- first_name: Pranav
  full_name: Singh, Pranav
  last_name: Singh
- first_name: Boris Edgar
  full_name: Wembe Moafo, Boris Edgar
  id: '95394'
  last_name: Wembe Moafo
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.
  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>.
  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} }'
  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.
  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.
  mla: Maslovskaya, Sofya, et al. <i>Adaptive Higher Order Reversible Integrators
    for Memory Efficient Deep Learning</i>. 2025.
  short: S. Maslovskaya, S. Ober-Blöbaum, C. Offen, P. Singh, B.E. Wembe Moafo, (2025).
date_created: 2025-05-05T09:25:28Z
date_updated: 2025-09-30T15:16:09Z
ddc:
- '510'
department:
- _id: '636'
external_id:
  arxiv:
  - '2410.09537'
file:
- access_level: closed
  content_type: application/pdf
  creator: sofyam
  date_created: 2025-05-05T09:28:02Z
  date_updated: 2025-05-05T09:28:02Z
  file_id: '59795'
  file_name: 2410.09537v2.pdf
  file_size: 1830758
  relation: main_file
  success: 1
file_date_updated: 2025-05-05T09:28:02Z
has_accepted_license: '1'
language:
- iso: eng
status: public
title: Adaptive higher order reversible integrators for memory efficient deep learning
type: preprint
user_id: '85279'
year: '2025'
...
---
_id: '59507'
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.
author:
- first_name: Boris Edgar
  full_name: Wembe Moafo, Boris Edgar
  id: '95394'
  last_name: Wembe Moafo
- first_name: 'Cristian '
  full_name: 'Offen, Cristian '
  last_name: Offen
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
- first_name: Pranav
  full_name: Singh, Pranav
  last_name: Singh
citation:
  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>
  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>
  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} }'
  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>.
  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>.'
  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>.
  short: B.E. Wembe Moafo, C. Offen, S. Maslovskaya, S. Ober-Blöbaum, P. Singh, J.
    Comput. Appl. Math 477 (n.d.).
date_created: 2025-04-10T14:42:52Z
date_updated: 2025-12-16T15:17:27Z
department:
- _id: '94'
doi: 10.1016/j.cam.2025.117184
intvolume: '       477'
issue: '15'
language:
- iso: eng
publication: J. Comput. Appl. Math
publication_status: submitted
status: public
title: Commutator-free Cayley methods
type: journal_article
user_id: '95394'
volume: 477
year: '2025'
...
---
_id: '59797'
author:
- first_name: Michael
  full_name: Konopik, Michael
  last_name: Konopik
- first_name: Rodrigo
  full_name: T. Sato Martín de Almagro, Rodrigo
  last_name: T. Sato Martín de Almagro
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
- first_name: Sigrid
  full_name: Leyendecker, Sigrid
  last_name: Leyendecker
citation:
  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>
  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>
  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} }'
  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>.'
  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>.
  short: M. Konopik, R. T. Sato Martín de Almagro, S. Maslovskaya, S. Ober-Blöbaum,
    S. Leyendecker, Journal of Nonlinear Science 36 (2025).
date_created: 2025-05-05T09:35:31Z
date_updated: 2026-01-06T18:26:57Z
department:
- _id: '636'
doi: 10.1007/s00332-025-10229-5
intvolume: '        36'
issue: '11'
language:
- iso: eng
publication: Journal of Nonlinear Science
status: public
title: Variational integrators for a new Lagrangian approach to control affine systems
  with a quadratic Lagrange term
type: journal_article
user_id: '87909'
volume: 36
year: '2025'
...
---
_id: '59799'
author:
- first_name: Michael
  full_name: Konopik, Michael
  last_name: Konopik
- first_name: Sigrid
  full_name: Leyendecker, Sigrid
  last_name: Leyendecker
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
- first_name: Rodrigo
  full_name: T. Sato Martín de Almagro, Rodrigo
  last_name: T. Sato Martín de Almagro
citation:
  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>
  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>
  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} }'
  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>.'
  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>.
  short: M. Konopik, S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R. T. Sato Martín
    de Almagro, Nonlinearity 38 (2025).
date_created: 2025-05-05T09:37:50Z
date_updated: 2026-01-06T18:24:40Z
department:
- _id: '636'
doi: 10.1088/1361-6544/ae1d08
intvolume: '        38'
issue: '11'
language:
- iso: eng
publication: Nonlinearity
status: public
title: A new Lagrangian approach to optimal control of second-order systems
type: journal_article
user_id: '87909'
volume: 38
year: '2025'
...
---
_id: '53101'
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.
article_type: original
author:
- first_name: Sigrid
  full_name: Leyendecker, Sigrid
  last_name: Leyendecker
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
- first_name: Rodrigo T. Sato Martín de
  full_name: Almagro, Rodrigo T. Sato Martín de
  last_name: Almagro
- first_name: Flóra Orsolya
  full_name: Szemenyei, Flóra Orsolya
  last_name: Szemenyei
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>
  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>
  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} }'
  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>.'
  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>.'
  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>.
  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.
date_created: 2024-03-28T15:58:02Z
date_updated: 2024-03-28T16:07:34Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.3934/jcd.2024017
has_accepted_license: '1'
issue: '0'
keyword:
- Optimal control problem
- Lagrangian system
- Hamiltonian system
- Variations
- Pontryagin's maximum principle.
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.aimsciences.org/article/doi/10.3934/jcd.2024017
oa: '1'
page: 0-0
publication: Journal of Computational Dynamics
publication_identifier:
  issn:
  - 2158-2491
  - 2158-2505
publication_status: published
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: A new Lagrangian approach to control affine systems with a quadratic Lagrange
  term
type: journal_article
user_id: '87909'
volume: '0'
year: '2024'
...
---
_id: '59791'
author:
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
citation:
  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>'
  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} }'
  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>.'
  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>.
  short: 'S. Maslovskaya, S. Ober-Blöbaum, in: IFAC-PapersOnLine, Elsevier BV, 2024,
    pp. 85–90.'
date_created: 2025-05-05T09:21:13Z
date_updated: 2025-05-05T09:22:27Z
department:
- _id: '636'
doi: 10.1016/j.ifacol.2024.10.118
intvolume: '        58'
issue: '17'
language:
- iso: eng
page: 85-90
publication: IFAC-PapersOnLine
publication_identifier:
  issn:
  - 2405-8963
publication_status: published
publisher: Elsevier BV
status: public
title: Symplectic Methods in Deep Learning
type: conference
user_id: '87909'
volume: 58
year: '2024'
...
---
_id: '59801'
author:
- first_name: Frédéric
  full_name: Jean, Frédéric
  last_name: Jean
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
citation:
  ama: Jean F, Maslovskaya S. Inverse optimal control problem in the non autonomous
    linear-quadratic case. Published online 2024.
  apa: Jean, F., &#38; Maslovskaya, S. (2024). <i>Inverse optimal control problem
    in the non autonomous linear-quadratic case</i>.
  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} }'
  chicago: Jean, Frédéric, and Sofya Maslovskaya. “Inverse Optimal Control Problem
    in the Non Autonomous Linear-Quadratic Case,” 2024.
  ieee: F. Jean and S. Maslovskaya, “Inverse optimal control problem in the non autonomous
    linear-quadratic case.” 2024.
  mla: Jean, Frédéric, and Sofya Maslovskaya. <i>Inverse Optimal Control Problem in
    the Non Autonomous Linear-Quadratic Case</i>. 2024.
  short: F. Jean, S. Maslovskaya, (2024).
date_created: 2025-05-05T09:42:19Z
date_updated: 2025-05-05T09:43:05Z
department:
- _id: '636'
language:
- iso: eng
status: public
title: Inverse optimal control problem in the non autonomous linear-quadratic case
type: preprint
user_id: '87909'
year: '2024'
...
---
_id: '30861'
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>
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
  full_name: Gouzé, Jean-Luc
  last_name: Gouzé
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Jean-Baptiste
  full_name: Pomet, Jean-Baptiste
  last_name: Pomet
citation:
  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>
  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>
  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}
    }'
  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>.
  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>.'
  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>.
  short: J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, J.-B. Pomet, Journal
    of Optimization Theory and Applications (2022).
date_created: 2022-04-08T17:23:13Z
date_updated: 2022-04-08T18:23:02Z
department:
- _id: '636'
doi: 10.1007/s10957-022-02023-0
keyword:
- Applied Mathematics
- Management Science and Operations Research
- Control and Optimization
language:
- iso: eng
publication: Journal of Optimization Theory and Applications
publication_identifier:
  issn:
  - 0022-3239
  - 1573-2878
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Turnpike Property in Optimal Microbial Metabolite Production
type: journal_article
user_id: '87909'
year: '2022'
...
---
_id: '29543'
article_number: '109804'
author:
- first_name: Walid
  full_name: Djema, Walid
  last_name: Djema
- first_name: Laetitia
  full_name: Giraldi, Laetitia
  last_name: Giraldi
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Olivier
  full_name: Bernard, Olivier
  last_name: Bernard
citation:
  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>
  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>
  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}
    }'
  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>.
  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>.'
  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>.
  short: W. Djema, L. Giraldi, S. Maslovskaya, O. Bernard, Automatica 132 (2021).
date_created: 2022-01-26T13:13:06Z
date_updated: 2022-01-26T13:15:33Z
department:
- _id: '636'
doi: 10.1016/j.automatica.2021.109804
intvolume: '       132'
keyword:
- Electrical and Electronic Engineering
- Control and Systems Engineering
language:
- iso: eng
publication: Automatica
publication_identifier:
  issn:
  - 0005-1098
publication_status: published
publisher: Elsevier BV
status: public
title: Turnpike features in optimal selection of species represented by quota models
type: journal_article
user_id: '87909'
volume: 132
year: '2021'
...
---
_id: '20812'
author:
- first_name: Frederic
  full_name: Jean, Frederic
  last_name: Jean
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
citation:
  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>'
  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>
  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} }'
  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.
  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>.
  short: 'F. Jean, S. Maslovskaya, in: 2019 IEEE 58th Conference on Decision and Control
    (CDC), 2020.'
date_created: 2020-12-21T13:01:22Z
date_updated: 2022-01-06T06:54:39Z
doi: 10.1109/cdc40024.2019.9028877
language:
- iso: eng
publication: 2019 IEEE 58th Conference on Decision and Control (CDC)
publication_identifier:
  isbn:
  - '9781728113982'
publication_status: published
status: public
title: Injectivity of the inverse optimal control problem for control-affine systems
type: conference
user_id: '87909'
year: '2020'
...
---
_id: '29545'
author:
- first_name: Frédéric
  full_name: Jean, Frédéric
  last_name: Jean
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Igor
  full_name: Zelenko, Igor
  last_name: Zelenko
citation:
  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>
  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>
  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} }'
  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>.'
  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>.'
  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>.
  short: F. Jean, S. Maslovskaya, I. Zelenko, Geometriae Dedicata 213 (2020) 295–314.
date_created: 2022-01-26T13:19:18Z
date_updated: 2022-01-26T13:19:39Z
department:
- _id: '636'
doi: 10.1007/s10711-020-00581-z
intvolume: '       213'
issue: '1'
keyword:
- Geometry and Topology
language:
- iso: eng
page: 295-314
publication: Geometriae Dedicata
publication_identifier:
  issn:
  - 0046-5755
  - 1572-9168
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian
  geometry
type: journal_article
user_id: '87909'
volume: 213
year: '2020'
...
---
_id: '29546'
author:
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Jean-Baptiste
  full_name: Caillau, Jean-Baptiste
  last_name: Caillau
- first_name: Walid
  full_name: Djema, Walid
  last_name: Djema
- first_name: Laetitia
  full_name: Giraldi, Laetitia
  last_name: Giraldi
- first_name: Jean-Luc
  full_name: Jean-Luc, Jean-Luc
  last_name: Jean-Luc
- first_name: Jean-Baptiste
  full_name: Pomet, Jean-Baptiste
  last_name: Pomet
citation:
  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.'
  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} }'
  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.
  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.
  mla: Maslovskaya, Sofya, et al. <i>The Turnpike Property in Maximization of Microbial
    Metabolite Production</i>. 2020.
  short: 'S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, J.-B.
    Pomet, in: 2020.'
conference:
  name: IFAC 2020 - 21rst IFAC World Congress
date_created: 2022-01-26T13:26:36Z
date_updated: 2022-01-26T13:39:01Z
department:
- _id: '636'
extern: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://hal.archives-ouvertes.fr/hal-02916081/document
oa: '1'
quality_controlled: '1'
status: public
title: The turnpike property in maximization of microbial metabolite production
type: conference_abstract
user_id: '87909'
year: '2020'
...
---
_id: '20813'
author:
- first_name: Jean-Baptiste
  full_name: Caillau, Jean-Baptiste
  last_name: Caillau
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Thomas
  full_name: Mensch, Thomas
  last_name: Mensch
- first_name: Timothee
  full_name: Moulinier, Timothee
  last_name: Moulinier
- first_name: Jean-Baptiste
  full_name: Pomet, Jean-Baptiste
  last_name: Pomet
citation:
  ama: 'Caillau J-B, Maslovskaya S, Mensch T, Moulinier T, Pomet J-B. Zermelo-Markov-Dubins
    problem and extensions in marine navigation. In: <i>2019 IEEE 58th Conference
    on Decision and Control (CDC)</i>. ; 2020. doi:<a href="https://doi.org/10.1109/cdc40024.2019.9029293">10.1109/cdc40024.2019.9029293</a>'
  apa: Caillau, J.-B., Maslovskaya, S., Mensch, T., Moulinier, T., &#38; Pomet, J.-B.
    (2020). Zermelo-Markov-Dubins problem and extensions in marine navigation. <i>2019
    IEEE 58th Conference on Decision and Control (CDC)</i>. <a href="https://doi.org/10.1109/cdc40024.2019.9029293">https://doi.org/10.1109/cdc40024.2019.9029293</a>
  bibtex: '@inproceedings{Caillau_Maslovskaya_Mensch_Moulinier_Pomet_2020, title={Zermelo-Markov-Dubins
    problem and extensions in marine navigation}, DOI={<a href="https://doi.org/10.1109/cdc40024.2019.9029293">10.1109/cdc40024.2019.9029293</a>},
    booktitle={2019 IEEE 58th Conference on Decision and Control (CDC)}, author={Caillau,
    Jean-Baptiste and Maslovskaya, Sofya and Mensch, Thomas and Moulinier, Timothee
    and Pomet, Jean-Baptiste}, year={2020} }'
  chicago: Caillau, Jean-Baptiste, Sofya Maslovskaya, Thomas Mensch, Timothee Moulinier,
    and Jean-Baptiste Pomet. “Zermelo-Markov-Dubins Problem and Extensions in Marine
    Navigation.” In <i>2019 IEEE 58th Conference on Decision and Control (CDC)</i>,
    2020. <a href="https://doi.org/10.1109/cdc40024.2019.9029293">https://doi.org/10.1109/cdc40024.2019.9029293</a>.
  ieee: 'J.-B. Caillau, S. Maslovskaya, T. Mensch, T. Moulinier, and J.-B. Pomet,
    “Zermelo-Markov-Dubins problem and extensions in marine navigation,” 2020, doi:
    <a href="https://doi.org/10.1109/cdc40024.2019.9029293">10.1109/cdc40024.2019.9029293</a>.'
  mla: Caillau, Jean-Baptiste, et al. “Zermelo-Markov-Dubins Problem and Extensions
    in Marine Navigation.” <i>2019 IEEE 58th Conference on Decision and Control (CDC)</i>,
    2020, doi:<a href="https://doi.org/10.1109/cdc40024.2019.9029293">10.1109/cdc40024.2019.9029293</a>.
  short: 'J.-B. Caillau, S. Maslovskaya, T. Mensch, T. Moulinier, J.-B. Pomet, in:
    2019 IEEE 58th Conference on Decision and Control (CDC), 2020.'
date_created: 2020-12-21T13:02:48Z
date_updated: 2022-01-26T13:36:16Z
doi: 10.1109/cdc40024.2019.9029293
language:
- iso: eng
publication: 2019 IEEE 58th Conference on Decision and Control (CDC)
publication_identifier:
  isbn:
  - '9781728113982'
publication_status: published
status: public
title: Zermelo-Markov-Dubins problem and extensions in marine navigation
type: conference
user_id: '87909'
year: '2020'
...
---
_id: '20810'
author:
- first_name: Frederic
  full_name: Jean, Frederic
  last_name: Jean
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
citation:
  ama: 'Jean F, Maslovskaya S. Inverse optimal control problem: the linear-quadratic
    case. In: <i>2018 IEEE Conference on Decision and Control (CDC)</i>. ; 2019. doi:<a
    href="https://doi.org/10.1109/cdc.2018.8619204">10.1109/cdc.2018.8619204</a>'
  apa: 'Jean, F., &#38; Maslovskaya, S. (2019). Inverse optimal control problem: the
    linear-quadratic case. In <i>2018 IEEE Conference on Decision and Control (CDC)</i>.
    <a href="https://doi.org/10.1109/cdc.2018.8619204">https://doi.org/10.1109/cdc.2018.8619204</a>'
  bibtex: '@inproceedings{Jean_Maslovskaya_2019, title={Inverse optimal control problem:
    the linear-quadratic case}, DOI={<a href="https://doi.org/10.1109/cdc.2018.8619204">10.1109/cdc.2018.8619204</a>},
    booktitle={2018 IEEE Conference on Decision and Control (CDC)}, author={Jean,
    Frederic and Maslovskaya, Sofya}, year={2019} }'
  chicago: 'Jean, Frederic, and Sofya Maslovskaya. “Inverse Optimal Control Problem:
    The Linear-Quadratic Case.” In <i>2018 IEEE Conference on Decision and Control
    (CDC)</i>, 2019. <a href="https://doi.org/10.1109/cdc.2018.8619204">https://doi.org/10.1109/cdc.2018.8619204</a>.'
  ieee: 'F. Jean and S. Maslovskaya, “Inverse optimal control problem: the linear-quadratic
    case,” in <i>2018 IEEE Conference on Decision and Control (CDC)</i>, 2019.'
  mla: 'Jean, Frederic, and Sofya Maslovskaya. “Inverse Optimal Control Problem: The
    Linear-Quadratic Case.” <i>2018 IEEE Conference on Decision and Control (CDC)</i>,
    2019, doi:<a href="https://doi.org/10.1109/cdc.2018.8619204">10.1109/cdc.2018.8619204</a>.'
  short: 'F. Jean, S. Maslovskaya, in: 2018 IEEE Conference on Decision and Control
    (CDC), 2019.'
date_created: 2020-12-21T12:58:58Z
date_updated: 2022-01-06T06:54:39Z
doi: 10.1109/cdc.2018.8619204
language:
- iso: eng
publication: 2018 IEEE Conference on Decision and Control (CDC)
publication_identifier:
  isbn:
  - '9781538613955'
publication_status: published
status: public
title: 'Inverse optimal control problem: the linear-quadratic case'
type: conference
user_id: '87909'
year: '2019'
...
---
_id: '20811'
author:
- first_name: Frédéric
  full_name: Jean, Frédéric
  last_name: Jean
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Igor
  full_name: Zelenko, Igor
  last_name: Zelenko
citation:
  ama: Jean F, Maslovskaya S, Zelenko I. On projective and affine equivalence of sub-Riemannian
    metrics. <i>Geometriae Dedicata</i>. 2019:279-319. doi:<a href="https://doi.org/10.1007/s10711-019-00437-1">10.1007/s10711-019-00437-1</a>
  apa: Jean, F., Maslovskaya, S., &#38; Zelenko, I. (2019). On projective and affine
    equivalence of sub-Riemannian metrics. <i>Geometriae Dedicata</i>, 279–319. <a
    href="https://doi.org/10.1007/s10711-019-00437-1">https://doi.org/10.1007/s10711-019-00437-1</a>
  bibtex: '@article{Jean_Maslovskaya_Zelenko_2019, title={On projective and affine
    equivalence of sub-Riemannian metrics}, DOI={<a href="https://doi.org/10.1007/s10711-019-00437-1">10.1007/s10711-019-00437-1</a>},
    journal={Geometriae Dedicata}, author={Jean, Frédéric and Maslovskaya, Sofya and
    Zelenko, Igor}, year={2019}, pages={279–319} }'
  chicago: Jean, Frédéric, Sofya Maslovskaya, and Igor Zelenko. “On Projective and
    Affine Equivalence of Sub-Riemannian Metrics.” <i>Geometriae Dedicata</i>, 2019,
    279–319. <a href="https://doi.org/10.1007/s10711-019-00437-1">https://doi.org/10.1007/s10711-019-00437-1</a>.
  ieee: F. Jean, S. Maslovskaya, and I. Zelenko, “On projective and affine equivalence
    of sub-Riemannian metrics,” <i>Geometriae Dedicata</i>, pp. 279–319, 2019.
  mla: Jean, Frédéric, et al. “On Projective and Affine Equivalence of Sub-Riemannian
    Metrics.” <i>Geometriae Dedicata</i>, 2019, pp. 279–319, doi:<a href="https://doi.org/10.1007/s10711-019-00437-1">10.1007/s10711-019-00437-1</a>.
  short: F. Jean, S. Maslovskaya, I. Zelenko, Geometriae Dedicata (2019) 279–319.
date_created: 2020-12-21T13:00:41Z
date_updated: 2022-01-06T06:54:39Z
doi: 10.1007/s10711-019-00437-1
language:
- iso: eng
page: 279-319
publication: Geometriae Dedicata
publication_identifier:
  issn:
  - 0046-5755
  - 1572-9168
publication_status: published
status: public
title: On projective and affine equivalence of sub-Riemannian metrics
type: journal_article
user_id: '87909'
year: '2019'
...
---
_id: '20815'
author:
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
citation:
  ama: 'Maslovskaya S. <i>Inverse Optimal Control : Theoretical Study</i>.; 2018.'
  apa: 'Maslovskaya, S. (2018). <i>Inverse Optimal Control : theoretical study</i>.'
  bibtex: '@book{Maslovskaya_2018, title={Inverse Optimal Control : theoretical study},
    author={Maslovskaya, Sofya}, year={2018} }'
  chicago: 'Maslovskaya, Sofya. <i>Inverse Optimal Control : Theoretical Study</i>,
    2018.'
  ieee: 'S. Maslovskaya, <i>Inverse Optimal Control : theoretical study</i>. 2018.'
  mla: 'Maslovskaya, Sofya. <i>Inverse Optimal Control : Theoretical Study</i>. 2018.'
  short: 'S. Maslovskaya, Inverse Optimal Control : Theoretical Study, 2018.'
date_created: 2020-12-21T13:19:56Z
date_updated: 2022-01-06T06:54:40Z
ddc:
- '510'
file:
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...
---
_id: '20809'
author:
- first_name: Frédéric
  full_name: Jean, Frédéric
  last_name: Jean
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Igor
  full_name: Zelenko, Igor
  last_name: Zelenko
citation:
  ama: 'Jean F, Maslovskaya S, Zelenko I. Inverse Optimal Control Problem: the Sub-Riemannian
    Case . <i>IFAC-PapersOnLine</i>. Published online 2017:500-505. doi:<a href="https://doi.org/10.1016/j.ifacol.2017.08.105">10.1016/j.ifacol.2017.08.105</a>'
  apa: 'Jean, F., Maslovskaya, S., &#38; Zelenko, I. (2017). Inverse Optimal Control
    Problem: the Sub-Riemannian Case . <i>IFAC-PapersOnLine</i>, 500–505. <a href="https://doi.org/10.1016/j.ifacol.2017.08.105">https://doi.org/10.1016/j.ifacol.2017.08.105</a>'
  bibtex: '@article{Jean_Maslovskaya_Zelenko_2017, title={Inverse Optimal Control
    Problem: the Sub-Riemannian Case }, DOI={<a href="https://doi.org/10.1016/j.ifacol.2017.08.105">10.1016/j.ifacol.2017.08.105</a>},
    journal={IFAC-PapersOnLine}, author={Jean, Frédéric and Maslovskaya, Sofya and
    Zelenko, Igor}, year={2017}, pages={500–505} }'
  chicago: 'Jean, Frédéric, Sofya Maslovskaya, and Igor Zelenko. “Inverse Optimal
    Control Problem: The Sub-Riemannian Case .” <i>IFAC-PapersOnLine</i>, 2017, 500–505.
    <a href="https://doi.org/10.1016/j.ifacol.2017.08.105">https://doi.org/10.1016/j.ifacol.2017.08.105</a>.'
  ieee: 'F. Jean, S. Maslovskaya, and I. Zelenko, “Inverse Optimal Control Problem:
    the Sub-Riemannian Case ,” <i>IFAC-PapersOnLine</i>, pp. 500–505, 2017, doi: <a
    href="https://doi.org/10.1016/j.ifacol.2017.08.105">10.1016/j.ifacol.2017.08.105</a>.'
  mla: 'Jean, Frédéric, et al. “Inverse Optimal Control Problem: The Sub-Riemannian
    Case .” <i>IFAC-PapersOnLine</i>, 2017, pp. 500–05, doi:<a href="https://doi.org/10.1016/j.ifacol.2017.08.105">10.1016/j.ifacol.2017.08.105</a>.'
  short: F. Jean, S. Maslovskaya, I. Zelenko, IFAC-PapersOnLine (2017) 500–505.
date_created: 2020-12-21T12:57:22Z
date_updated: 2022-01-26T13:10:43Z
doi: 10.1016/j.ifacol.2017.08.105
language:
- iso: eng
page: 500-505
publication: IFAC-PapersOnLine
publication_identifier:
  issn:
  - 2405-8963
publication_status: published
status: public
title: 'Inverse Optimal Control Problem: the Sub-Riemannian Case '
type: journal_article
user_id: '87909'
year: '2017'
...