Addendum to "Local Controllability of the Two-Link Magneto-Elastic Micro-Swimmer"
Résumé
In the above mentioned note (hal-01145537, arXiv:1506.05918, published in IEEE Trans. Autom. Cont., 2017), the first and fourth authors proved a local controllability result around the straight configuration for a class of magneto-elastic micro-swimmers. That result is weaker than the usual small-time local controllability (STLC), and the authors left the STLC question open. The present addendum closes it by showing that these systems cannot be STLC.
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Requiert hal-01145537 Article Laetitia Giraldi, Jean-Baptiste Pomet. Local Controllability of the Two-Link Magneto-Elastic Micro-Swimmer. IEEE Transactions on Automatic Control, 2017, 62, pp.2512-2518. ⟨10.1109/TAC.2016.2600158⟩. ⟨hal-01145537v2⟩