2 papers
math.OC2022
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…
math.DG2022
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,…