Zobrazeno 1 - 10
of 113
pro vyhledávání: '"Bayen Térence"'
Publikováno v:
In Journal of Differential Equations 5 October 2024 405:359-397
In this paper, we consider a resource-consumer model taking into account a mutation effect between species (with constant mutation rate). The corresponding mutation operator is a discretization of the Laplacian in such a way that the resulting dynami
Externí odkaz:
http://arxiv.org/abs/2110.09582
Autor:
Bayen, Térence, Cots, Olivier
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. After giving sufficient
Externí odkaz:
http://arxiv.org/abs/1911.03652
Autor:
Pfeiffer, Laurent, Bayen, Terence
In this article, we prove second-order necessary optimality conditions for the so-called time crisis problem that comes up within the context of viability theory. It consists in minimizing the time spent by solutions of a controlled dynamics outside
Externí odkaz:
http://arxiv.org/abs/1902.05290
Akademický článek
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Autor:
Kalboussi, Nesrine, Rapaport, Alain, Bayen, Térence, Amar, Nihel Ben, Ellouze, Fatma, Harmand, Jérôme
This paper studies an optimal control problem related to membrane filtration processes. A simple mathematical model of membrane fouling is used to capture the dynamic behavior of the filtration process which consists in the attachment of matter onto
Externí odkaz:
http://arxiv.org/abs/1702.02443
Publikováno v:
In IFAC PapersOnLine 2022 55(16):208-213
Publikováno v:
In IFAC PapersOnLine 2022 55(16):68-73
Autor:
BAYEN, TÉRENCE1 terence.bayen@univ-avignon.fr, BOUALI, ANAS1 anas.bouali@univ-avignon.fr, BOURDIN, LOÏC2 loic.bourdin@unilim.fr
Publikováno v:
SIAM Journal on Control & Optimization. 2024, Vol. 62 Issue 4, p2412-2432. 21p.
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 71, Pp 21-32 (2021)
In this note, we propose a new method to approximate the minimal time crisis problem using an auxiliary control and a penalty function, and show its convergence to a solution to the original problem. The interest of this approach is illustrated on nu
Externí odkaz:
https://doaj.org/article/d67818277bcf4555b4eff5a0700eb4a7