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pro vyhledávání: '"Bonnard, Bernard"'
In this article, we use two case studies from geometry and optimal control of chemical network to analyze the relation between abnormal geodesics in time optimal control, accessibility properties and regularity of the time minimal value function.
Externí odkaz:
http://arxiv.org/abs/2202.11545
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
Recent dynamical models, based on the seminal work of V. Hill, allow to predict the muscular response to functional electrostimulation (FES), in the isometric and non-isometric cases. The physical controls are modeled as Dirac pulses and lead to a sa
Externí odkaz:
http://arxiv.org/abs/2103.07316
Autor:
Bonnard, Bernard, Rouot, Jérémy
This article deals with the problem of maximizing the production of a species for a chemical network by controlling the temperature. Under the so-called mass kinetics assumption the system can be modeled as a single-input control system using the Fei
Externí odkaz:
http://arxiv.org/abs/2001.04126
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
Akademický článek
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Publikováno v:
In Automatica October 2022 144
Autor:
Bonnard, Bernard, Faugère, Jean-Charles, Jacquemard, Alain, Din, Mohab Safey El, Verron, Thibaut
Publikováno v:
International symposium on symbolic and algebraic computations, Waterloo, Canada. ACM, pp.103-110 (2016)
Control theory has recently been involved in the field of nuclear magnetic resonance imagery. The goal is to control the magnetic field optimally in order to improve the contrast between two biological matters on the pictures. Geometric optimal contr
Externí odkaz:
http://arxiv.org/abs/1605.00887
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 71, Pp 1-10 (2021)
Recent force-fatigue mathematical models in biomechanics [7] allow to predict the muscular force response to functional electrical stimulation (FES) and leads to the optimal control problem of maximizing the force. The stimulations are Dirac pulses a
Externí odkaz:
https://doaj.org/article/7b8e1131ab4545c791fca9aa27ec06d0