Sub-Finsler Structures from the Time-Optimal Control Viewpoint for some Nilpotent Distributions View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2017-07

AUTHORS

Davide Barilari, Ugo Boscain, Enrico Le Donne, Mario Sigalotti

ABSTRACT

In this paper, we study the sub-Finsler geometry as a time-optimal control problem. In particular, we consider non-smooth and non-strictly convex sub-Finsler structures associated with the Heisenberg, Grushin, and Martinet distributions. Motivated by problems in geometric group theory, we characterize extremal curves, discuss their optimality, and calculate the metric spheres, proving their Euclidean rectifiability. More... »

PAGES

547-575

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10883-016-9341-8

DOI

http://dx.doi.org/10.1007/s10883-016-9341-8

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1033591570


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