Construction of Maxwell points in left-invariant optimal control problems

DOI10.1134/S008154382105014XzbMath1481.49023OpenAlexW4205464365MaRDI QIDQ2071562

A. V. Podobryaev

Publication date: 28 January 2022

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s008154382105014x

zbMATH Keywords

symmetryRiemannian geometrycut locussub-Riemannian geometrygeometric control theoryMaxwell points

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15) Sub-Riemannian geometry (53C17)

Cites Work

• Multiple solutions in Euler's elastic problem
• Reduction, symmetry, and phases in mechanics
• Complete description of the Maxwell strata in the generalized Dido problem
• On the cut locus of free, step two Carnot groups
• A Comprehensive Introduction to Sub-Riemannian Geometry
• Symmetries in left-invariant optimal control problems
• Symmetric Extremal Trajectories in Left-Invariant Optimal Control Problems
• Discrete symmetries in the generalized Dido problem
• The Maxwell set in the generalized Dido problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Construction of Maxwell points in left-invariant optimal control problems