Extremals for a series of sub-Finsler problems with 2-dimensional control via convex trigonometry

DOI10.1051/cocv/2021024zbMath1477.53047OpenAlexW3134149444MaRDI QIDQ4999531

L. V. Lokutsievskiy, Yuri L. Sachkov, Andrei A. Ardentov

Publication date: 7 July 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2021024

zbMATH Keywords

optimal control problemsub-Finsler geometryrolling ballconvex trigonometryyacht problemsLobachevsky hyperbolic planeunimodular 3D Lie group

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Sub-Riemannian geometry (53C17) Existence theories in calculus of variations and optimal control (49J99) Manifolds and measure-geometric topics (49Q99)

Related Items (4)

Geodesic fields for Pontryagin type C⁰-Finsler manifolds ⋮ An isoperimetric problem on the Lobachevsky plane with a left-invariant Finsler structure ⋮ Casimir functions of free nilpotent Lie groups of steps 3 and 4 ⋮ Explicit formulae for geodesics in left-invariant sub-Finsler problems on Heisenberg groups via convex trigonometry

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