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Dynamics control by a time-varying feedback

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Abstract

We consider a smooth bracket-generating control-affine system in \( {\mathbb{R}^d} \) and show that any orientation-preserving diffeomorphism of \( {\mathbb{R}^d} \) can be approximated, in a very strong sense, by a diffeomorphism included in the flow generated by a time-varying feedback control which is polynomial with respect to the state variables and trigonometric-polynomial with respect to the time variable.

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Authors and Affiliations

  1. SISSA, Via Beirut, 2-4, 34151, Trieste, Italy

    A. A. Agrachev & M. Caponigro

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  1. A. A. Agrachev
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  2. M. Caponigro
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Correspondence to A. A. Agrachev.

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Agrachev, A.A., Caponigro, M. Dynamics control by a time-varying feedback. J Dyn Control Syst 16, 149–162 (2010). https://doi.org/10.1007/s10883-010-9087-7

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  • DOI: https://doi.org/10.1007/s10883-010-9087-7

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