Left-invariant optimal control problems on Lie groups that are integrable by elliptic functions

DOI10.4213/RM10063EzbMath1530.53004MaRDI QIDQ6080797

Yuri L. Sachkov

Publication date: 4 October 2023

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/rm10063

zbMATH Keywords

elliptic functionsgeometric controlsub-Riemannian manifoldsEngel groupEuler's elastic problem

Mathematics Subject Classification ID

Geometric methods (93B27) Analysis on real and complex Lie groups (22E30) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Optimality conditions for problems involving ordinary differential equations (49K15) Elliptic functions and integrals (33E05) Sub-Riemannian geometry (53C17) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

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