Zermelo navigation problems on surfaces of revolution and geometric optimal control

نویسندگان

چکیده

In this article, the historical study from Carathéodory-Zermelo about computing quickest nautical path is generalized to Zermelo navigation problems on surfaces of revolution, in frame geometric optimal control. Using Maximum Principle, we present two methods dedicated analyzing geodesic flow and compute conjugate cut loci. We apply these calculations investigate case studies related applications hydrodynamics, space mechanics geometry.

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ژورنال

عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations

سال: 2023

ISSN: ['1262-3377', '1292-8119']

DOI: https://doi.org/10.1051/cocv/2023052