Maxwell strata in sub-Riemannian problem on the group of motions of a plane

DOI10.1051/cocv/2009004zbMath1217.49037arXiv0807.4731OpenAlexW2171030693WikidataQ115334479 ScholiaQ115334479MaRDI QIDQ3558954

Igor Moiseev, Yuri L. Sachkov

Publication date: 11 May 2010

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4731

zbMATH Keywords

optimal controlLie groupexponential mappingsymmetriesPontryagin's maximum principlesub-Riemannian geometryMaxwell stratumdifferential-geometric methodsleft-invariant problem

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Geometric methods (93B27) Variational problems in a geometric measure-theoretic setting (49Q20) Analysis on real and complex Lie groups (22E30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Sub-Riemannian geometry (53C17)

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