Výsledky vyhledávání - "Bayen Térence"

Akademický článek

Penalty function method for the minimal time crisis problem

Autor: Boumaza Kenza, Bayen Térence, Rapaport Alain

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

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Akademický článek

Loss control regions in optimal control problems

Autor: Bayen, Térence, Bouali, Anas, Bourdin, Loïc, Cots, Olivier

Publikováno v: In Journal of Differential Equations 5 October 2024 405:359-397

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Stability of the chemostat system with a mutation factor

Autor: Bayen, Terence, Cazenave-Lacroutz, Henri, Coville, Jerome

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

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

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

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Second-order analysis for the time crisis problem

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

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Akademický článek

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Optimal control of membrane filtration systems

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

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