Elastic curves as solutions of Riemannian and sub-Riemannian control problems.

DOI10.1007/PL00009863zbMath1048.58010OpenAlexW2030527848WikidataQ115390548 ScholiaQ115390548MaRDI QIDQ1577557

Fátima Silva Leite, Peter E. Crouch, Margarida Camarinha

Publication date: 2000

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: http://springerlink.metapress.com/app/home/content.asp?wasp=07wcygyywr4vqrjgvkwp&referrer=contribution&format=2&page=1&pagecount=16

zbMATH Keywords

Riemannian manifolds, sub-Riemannian structure, Lie groups, tangent bundle, Sasaki metric, elastic curves, normal extremals, sub-Riemannian optimal control.

Mathematics Subject Classification ID

Existence theories for problems in abstract spaces (49J27) Approximation by other special function classes (41A30) Sub-Riemannian geometry (53C17) Applications of variational problems to control theory (58E25)

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