A.A. Agrachev, M. Caponigro, Dynamics control by a time-varying feedback

Title: Dynamics control by a time-varying feedback
Authors: A.A. Agrachev, M. Caponigro
Journal title: Dynamical and Control Systems
Year: 2010
Volume: 16
Pages: 149-162

We consider a smooth bracket generating control-affine system in R^d and show that any orientation preserving diffeomorphism of R^d can be approximated, in the 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 trigonometricpolynomial with respect to the time variable .