{"title":"Homotopic approach for turnpike and singularly perturbed optimal control problems","date_updated":"2023-01-16T12:08:28Z","type":"journal_article","user_id":"95394","intvolume":"        71","page":"43-53","status":"public","author":[{"full_name":"Cots, Olivier","first_name":"Olivier","last_name":"Cots"},{"full_name":"Gergaud, Joseph","first_name":"Joseph","last_name":"Gergaud"},{"last_name":"Wembe Moafo","first_name":"Boris Edgar","id":"95394","full_name":"Wembe Moafo, Boris Edgar"}],"date_created":"2022-10-24T13:00:10Z","publication":"ESAIM: Proceedings and Surveys","publisher":"EDP Sciences","year":"2021","_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>"}],"publication_identifier":{"issn":["2267-3059"]},"language":[{"iso":"eng"}],"citation":{"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} }","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>","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>","short":"O. Cots, J. Gergaud, B.E. Wembe Moafo, ESAIM: Proceedings and Surveys 71 (2021) 43–53.","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>.","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>.","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>."},"doi":"10.1051/proc/202171105","keyword":["Immunology"],"volume":71,"publication_status":"published"}