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

2018/02/23 by Hrdina, Jaroslav, Zalabova, Lenka
#34H05 #53C17 #93C15 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1802.08480

Abstract

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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