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Local geometric control of a certain mechanism with the growth vector (4,7)

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arxiv 1802.08480 v3 pith:6NNRNRSC submitted 2018-02-23 math.DG

Jaroslav Hrdina , Lenka Zalabova This is my paper · ORCID
classification math.DG
keywords controllocalextremalgrowthmechanismtrajectoriesvectorapproximation
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We study local control of the mechanism with the growth vector (4,7). We study controllability and extremal trajectories on the nilpotent approximation as an example of the control theory on Lie group. We give solutions of the system an show examples of local extremal trajectories.

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  1. Geometric control theory of vertical rolling disc using symmetries

    math.DG 2019-08 conditional novelty 3.0 of 10

    Explicit sub-Riemannian geodesics for the Heisenberg approximation of the rolling disc, with the first cut point derived from the isotropy symmetry.

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