Almost-Riemannian Geometry on Lie Groups

DOI10.1137/15M1038372zbMath1359.53012arXiv1503.03040OpenAlexW2963108295WikidataQ115246965 ScholiaQ115246965MaRDI QIDQ2832097

Victor Ayala, Philippe Jouan

Publication date: 7 November 2016

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.03040

zbMATH Keywords

Pontryagin maximum principleabnormal extremalsregular sub-Riemannian structuresimple almost-Riemannian structures

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Geometric methods (93B27) Control problems involving ordinary differential equations (34H05) Applications of Lie groups to the sciences; explicit representations (22E70) Local Riemannian geometry (53B20) Sub-Riemannian geometry (53C17)

Related Items (9)

Solvable approximations of 3-dimensional almost-Riemannian structures ⋮ About the continuity of reachable sets of restricted affine control systems ⋮ General nilpotent and solvable approximations of almost-Riemannian structures ⋮ Almost-Riemannian structures on nonnilpotent, solvable 3D Lie groups ⋮ Singular linear systems on Lie groups; equivalence ⋮ Time optimal control for linear systems on Lie groups ⋮ Jordan decomposition and the recurrent set of flows of automorphisms ⋮ Isometries of almost-Riemannian structures on Lie groups ⋮ A review on some classes of algebraic systems

Cites Work

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