3 papers
math.OC2019
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…
math.OC2019
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…
math.OC2019
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…