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arXiv · 1412.6743

M\"obius transformations and the configuration space of a Hilbert snake

F. Pelletier·R. Saffidine·N Bensalem
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Abstract

The purpose of this paper is to give a simpler proof to the problem of controllability of a Hilbert snake \cite{PeSa}. Using the action of the M\"obius group of the unit sphere on the configuration space, in the context of a separable Hilbert space. We give a generalization of the Theorem of accessibility contained in \cite{Ha} and \cite{Ro} for articulated arms and snakes in a finite dimensional Hilbert space

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F. Pelletier, R. Saffidine, N Bensalem. 2014-12-21. M\"obius transformations and the configuration space of a Hilbert snake. https://arxiv.org/abs/1412.6743

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