60 citations · 71 across the 5 of their papers we have counts for
6 papers
Singular versus boundary arcs for aircraft trajectory optimization in climbing phase
Olivier Cots, Joseph Gergaud, Damien Goubinat +1
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 t…
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,…
Tangency property and prior-saturation points in minimal time problems in the plane
Térence Bayen, Olivier Cots
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 involve…
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…
Geometric and numerical methods for a state constrained minimum time control problem of an electric vehicle
Olivier Cots
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…
Geometric optimal control of the contrast imaging problem in Nuclear Magnetic Resonance
B. Bonnard, O. Cots, S. J. Glaser +3
The objective of this article is to introduce the tools to analyze the contrast imaging problem in Nuclear Magnetic Resonance. Optimal trajectories can be selected among extremal s…