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A geometrical characterization of a class of $0$-flat affine dynamical systems

Abstract : This paper gives a description of a class of $0$-flat dynamical systems. This class is characterized by the involutivity of a distribution associated naturally to multi-output affine dynamical systems and the Lie bracket of some control vector fields fulfilling some conditions. We will also show that these conditions are a generalization of the well-known result on $0$-flatness of codimension $1$ affine systems.
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https://hal.inria.fr/inria-00408226
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Submitted on : Wednesday, July 29, 2009 - 5:27:09 PM
Last modification on : Saturday, June 25, 2022 - 10:10:55 AM
Long-term archiving on: : Tuesday, June 15, 2010 - 9:45:21 PM

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Soraya Bououden, Driss Boutat, Jean-Pierre Null Barbot, Frédéric Kratz. A geometrical characterization of a class of $0$-flat affine dynamical systems. ACC 2009 - IEEE American Control Conference, IEEE, Jun 2009, Saint Louis, Missouri, United States. ⟨10.1109/ACC.2009.5160122⟩. ⟨inria-00408226⟩

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