Journal of Dynamical and Control Systems

, Volume 16, Issue 2, pp 149–162

Dynamics control by a time-varying feedback

Authors

Article

DOI: 10.1007/s10883-010-9087-7

Cite this article as:
Agrachev, A.A. & Caponigro, M. J Dyn Control Syst (2010) 16: 149. doi:10.1007/s10883-010-9087-7

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.

Key words and phrases

Controllabilitydiscrete-time dynamicscontrol-affine systems

2000 Mathematics Subject Classification

93B0593C5593B5258A20
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© Springer Science+Business Media, LLC 2010