90 citations · 164 across the 10 of their papers we have counts for
12 papers
Accessibility Properties of Abnormal Geodesics in Optimal Control Illustrated by Two Case Studies
Bernard Bonnard, Jérémy Rouot, Boris Wembe
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, accessibi…
Abnormal Geodesics in 2D-Zermelo Navigation Problems in the Case of Revolution and the Fan Shape of the Small Time Balls
Bernard Bonnard, Olivier Cots, Joseph Gergaud +1
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,…
Finite Dimensional Approximation to Muscular Response in Force-Fatigue Dynamics using Functional Electrical Stimulation
Toufik Bakir, Bernard Bonnard, Sandrine Gayrard +1
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 cas…
Towards Geometric Time Minimal Control without Legendre Condition and with Multiple Singular Extremals for Chemical Networks
Bernard Bonnard, Jérémy Rouot
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 th…
A Zermelo navigation problem with a vortex singularity
Bernard Bonnard, Olivier Cots, Boris Wembe
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 des…
Determinantal sets, singularities and application to optimal control in medical imagery
Bernard Bonnard, Jean-Charles Faugère, Alain Jacquemard +2
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 b…