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Introduction to geometric control. Translated from the Russian

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Publication:2082075
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DOI10.1007/978-3-031-02070-4OpenAlexW4327635063MaRDI QIDQ2082075

Yuri L. Sachkov

Publication date: 1 October 2022

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.00211


zbMATH Keywords

optimal controlsub-Riemannian geometryPontryagin maximum principleattainable setsoptimal synthesiscontrolability


Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15) Sub-Riemannian geometry (53C17) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control (49-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to systems and control theory (93-01)


Related Items (6)

Sub-Lorentzian distance and spheres on the Heisenberg group ⋮ Abnormal trajectories in the sub-Riemannian \((2,3,5,8)\) problem ⋮ Lorentzian geometry on the Lobachevsky plane ⋮ Sub-Lorentzian problem on the Heisenberg group ⋮ Abnormal extremals in the sub-Riemannian problem with growth vector \((2, 3, 5, 8, 14)\) ⋮ Homogeneous geodesics in sub-Riemannian geometry







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