Explicit solutions for a series of optimization problems with 2-dimensional control via convex trigonometry
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Publication:2243805
DOI10.1134/S1064562420050257zbMath1481.53053arXiv2004.10194OpenAlexW3119938905MaRDI QIDQ2243805
Yuri L. Sachkov, Andrei A. Ardentov, L. V. Lokutsievskiy
Publication date: 11 November 2021
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.10194
Geodesics in global differential geometry (53C22) Elastic materials (74B99) Sub-Riemannian geometry (53C17) Applications of variational problems to control theory (58E25) Existence theories in calculus of variations and optimal control (49J99)
Related Items (4)
Time minimization problem on the group of motions of a plane with admissible control in a half-disc ⋮ Three-dimensional reachability set for a Dubins car: reduction of the general case of rotation constraints to the canonical case ⋮ Neighborhood of the second-order singular regime in problems with control in a disk ⋮ Extremal controls for the Duits car
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