Zobrazeno 1 - 10
of 88
pro vyhledávání: '"Cots , Olivier"'
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis, In press
In this article, we are interested in optimal aircraft trajectories in climbing phase. We consider the cost index criterion which is a convex combination of the time-to-climb and the fuel consumption. We assume that the thrust is constant and we cont
Externí odkaz:
http://arxiv.org/abs/2212.06694
In this article, based on two case studies, we discuss the role of abnormal geodesics in planar Zermelo navigation problems. Such curves are limit curves of the accessibility set, in the domain where the current is strong. The problem is set in the f
Externí odkaz:
http://arxiv.org/abs/2201.03831
Publikováno v:
In Journal of Differential Equations 5 October 2024 405:359-397
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
Helhmoltz-Kirchhoff equations of motions of vortices of an incompressible fluid in the plane define a dynamics with singularities and this leads to a Zermelo navigation problem describing the ship travel in such a field where the control is the headi
Externí odkaz:
http://arxiv.org/abs/1911.01109
Autor:
Cots, Olivier
Publikováno v:
ESAIM: COCV Volume 23, Number 4, October-December 2017
In this article, the minimum time control problem of an electric vehicle is modeled as a Mayer problem in optimal control, with affine dynamics with respect to the control and with state constraints. The candidates as minimizers are selected among a
Externí odkaz:
http://arxiv.org/abs/1903.04048
Publikováno v:
In IFAC PapersOnLine 2022 55(16):13-18
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 71, Pp 43-53 (2021)
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 continuat
Externí odkaz:
https://doaj.org/article/adb3401e4660495c9e249f18d36daabc
Autor:
Cots, Olivier1 olivier.cots@toulouse-inp.fr, Gergaud, Joseph1, Goubinat, Damien2, Wembe, Boris1
Publikováno v:
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN). Mar/Apr2023, Vol. 57 Issue 2, p817-839. 23p.