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math.OC2022
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…
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…