Optimal control problems with non-control regions: necessary optimality conditions

Autor: Térence Bayen, Anas Bouali, Loïc Bourdin

Publikováno v: HAL

We consider a smooth control system that is subject to loss of control in the sense that the state space is partitioned into several disjoint regions and, in each region, either the system can be controlled, as usual, in a permanent way (that is, one

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53236c255db6090fd7d3a9353e3dd0a5
https://doi.org/10.1016/j.ifacol.2022.09.002

Necessary optimality condition for the minimal time crisis relaxing transverse condition via regularization

Autor: Kenza Boumaza, Térence Bayen, Alain Rapaport

Publikováno v: ESAIM: Control, Optimisation and Calculus of Variations
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2021, 27, ⟨10.1051/cocv/2021102⟩

We derive necessary optimality conditions for the time of crisis problem under a more general hypothesis than the usual one encountered in the hybrid setting, which requires that any optimal solution should cross the boundary of the constraint set tr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57abdcbeb0cc563ac28dd2168d33275a
https://hal-univ-avignon.archives-ouvertes.fr/hal-03153881v2/file/OC_Time_Crisis___Tranverse_Case.pdf

Tangency property and prior-saturation points in planar minimal time problems

Autor: Olivier Cots, Térence Bayen

Publikováno v: International Federation of Automatic Control 2020 (IFAC 2020)
International Federation of Automatic Control 2020 (IFAC 2020), Jul 2020, Berlin, Germany

International audience; In this paper, we address properties of the minimal time synthesis for control-affine-systems in the plane involving a saturation point for the singular control. First, we provide sufficient conditions on the data ensuring occ

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a77f3f65e61cc568d1b8deb62fcf6846
https://hal-univ-avignon.archives-ouvertes.fr/hal-02926508/file/IFAC20_2120_FI.pdf

Tangency property and prior-saturation points in minimal time problems in the plane

Autor: Térence Bayen, Olivier Cots

Publikováno v: Acta Applicandae Mathematicae
Acta Applicandae Mathematicae, Springer Verlag, 2020, ⟨10.1007/s10440-020-00344-8⟩

International audience; In this paper, we consider minimal time problems governed by control-affine-systems in the plane, and we focus on the synthesis problem in presence of a singular locus that involves a saturation point for the singular control.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::637a444398a67f6ec1399788404a9a57
https://hal-univ-avignon.archives-ouvertes.fr/hal-02280065v3/file/bayen_cots_review_2.pdf

Optimal control separating two microalgae species competing in a chemostat

Autor: Térence Bayen, Olivier Bernard, Walid Djema

Publikováno v: 2020, 2020 59th IEEE Conference on Decision and Control (CDC), ⟨10.1109/CDC42340.2020.9304115⟩
CDC 2020-59th IEEE Conference on Decision and Control
CDC 2020-59th IEEE Conference on Decision and Control, Dec 2020, Jeju Island / Virtual, South Korea
CDC

International audience; In this work, we study the question of selecting in minimal-time a microalgae species of interest using the Droop model to describe the dynamics of two distinct populations competing for a limiting nutrient. This amounts to co

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ada51a7ac89633922aaf45307d98b80
https://hal-univ-avignon.archives-ouvertes.fr/hal-02939495