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Bibliographic Details
Main Authors: Giraldi, Laetitia, Lissy, Pierre, Moreau, Clément, Pomet, Jean-Baptiste
Format: Preprint
Published: 2019
Subjects:
Online Access:https://arxiv.org/abs/1907.04706
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Table of Contents:
  • We consider affine control systems with two scalar controls, such that one control vector field vanishes at an equilibrium state. We state two necessary conditions of local controllability around this equilibrium, involving the iterated Lie brackets of the system vector fields, with controls that are either bounded, small in L $\infty$ or small in W 1,$\infty$. These results are illustrated with several examples.