---
_id: '33871'
abstract:
- lang: eng
  text: '<jats:p>The first aim of this article is to present the link between the
    turnpike property and the singular perturbations theory: the first one being a
    particular case of the second one. Then, thanks to this link, we set up a new
    framework based on continuation methods for the resolution of singularly perturbed
    optimal control problems. We consider first the turnpike case, then, we generalize
    the approach to general control problems with singular perturbations (that is
    with fast but also slow variables). We illustrate each step with an example.</jats:p>'
author:
- first_name: Olivier
  full_name: Cots, Olivier
  last_name: Cots
- first_name: Joseph
  full_name: Gergaud, Joseph
  last_name: Gergaud
- first_name: Boris Edgar
  full_name: Wembe Moafo, Boris Edgar
  id: '95394'
  last_name: Wembe Moafo
citation:
  ama: 'Cots O, Gergaud J, Wembe Moafo BE. Homotopic approach for turnpike and singularly
    perturbed optimal control problems. <i>ESAIM: Proceedings and Surveys</i>. 2021;71:43-53.
    doi:<a href="https://doi.org/10.1051/proc/202171105">10.1051/proc/202171105</a>'
  apa: 'Cots, O., Gergaud, J., &#38; Wembe Moafo, B. E. (2021). Homotopic approach
    for turnpike and singularly perturbed optimal control problems. <i>ESAIM: Proceedings
    and Surveys</i>, <i>71</i>, 43–53. <a href="https://doi.org/10.1051/proc/202171105">https://doi.org/10.1051/proc/202171105</a>'
  bibtex: '@article{Cots_Gergaud_Wembe Moafo_2021, title={Homotopic approach for turnpike
    and singularly perturbed optimal control problems}, volume={71}, DOI={<a href="https://doi.org/10.1051/proc/202171105">10.1051/proc/202171105</a>},
    journal={ESAIM: Proceedings and Surveys}, publisher={EDP Sciences}, author={Cots,
    Olivier and Gergaud, Joseph and Wembe Moafo, Boris Edgar}, year={2021}, pages={43–53}
    }'
  chicago: 'Cots, Olivier, Joseph Gergaud, and Boris Edgar Wembe Moafo. “Homotopic
    Approach for Turnpike and Singularly Perturbed Optimal Control Problems.” <i>ESAIM:
    Proceedings and Surveys</i> 71 (2021): 43–53. <a href="https://doi.org/10.1051/proc/202171105">https://doi.org/10.1051/proc/202171105</a>.'
  ieee: 'O. Cots, J. Gergaud, and B. E. Wembe Moafo, “Homotopic approach for turnpike
    and singularly perturbed optimal control problems,” <i>ESAIM: Proceedings and
    Surveys</i>, vol. 71, pp. 43–53, 2021, doi: <a href="https://doi.org/10.1051/proc/202171105">10.1051/proc/202171105</a>.'
  mla: 'Cots, Olivier, et al. “Homotopic Approach for Turnpike and Singularly Perturbed
    Optimal Control Problems.” <i>ESAIM: Proceedings and Surveys</i>, vol. 71, EDP
    Sciences, 2021, pp. 43–53, doi:<a href="https://doi.org/10.1051/proc/202171105">10.1051/proc/202171105</a>.'
  short: 'O. Cots, J. Gergaud, B.E. Wembe Moafo, ESAIM: Proceedings and Surveys 71
    (2021) 43–53.'
date_created: 2022-10-24T13:00:10Z
date_updated: 2023-01-16T12:08:28Z
doi: 10.1051/proc/202171105
intvolume: '        71'
keyword:
- Immunology
language:
- iso: eng
page: 43-53
publication: 'ESAIM: Proceedings and Surveys'
publication_identifier:
  issn:
  - 2267-3059
publication_status: published
publisher: EDP Sciences
status: public
title: Homotopic approach for turnpike and singularly perturbed optimal control problems
type: journal_article
user_id: '95394'
volume: 71
year: '2021'
...