Zermelo Navigation Problems on Surfaces of Revolution and Geometric Optimal Control - Calcul Intensif, Simulation, Optimisation Access content directly
Preprints, Working Papers, ... Year : 2023

Zermelo Navigation Problems on Surfaces of Revolution and Geometric Optimal Control

Abstract

In this article, the historical study from Carathéodory-Zermelo about computing the quickest nautical path is generalized to Zermelo navigation problems on surfaces of revolution, in the frame of geometric optimal control. Using the Maximum Principle, we present two methods dedicated to analyzing the geodesic flow and to compute the conjugate and cut loci. We apply these calculations to investigate case studies related to applications in hydrodynamics, space mechanics and geometry.
Fichier principal
Vignette du fichier
2022-BCW-preprint.pdf (1.82 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03209491 , version 1 (27-04-2021)
hal-03209491 , version 2 (07-05-2021)
hal-03209491 , version 3 (31-03-2022)
hal-03209491 , version 4 (07-03-2023)
hal-03209491 , version 5 (04-07-2023)

Identifiers

  • HAL Id : hal-03209491 , version 4

Cite

Bernard Bonnard, Olivier Cots, Boris Wembe. Zermelo Navigation Problems on Surfaces of Revolution and Geometric Optimal Control. 2023. ⟨hal-03209491v4⟩
890 View
342 Download

Share

Gmail Facebook X LinkedIn More