%0 Journal Article
%J Journal of Dynamical and Control Systems. Volume 16, Issue 2, April 2010, Pages :149-162
%D 2010
%T Dynamics control by a time-varying feedback
%A Andrei A. Agrachev
%A Marco Caponigro
%K Discrete-time dynamics
%X 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 trigonometric-polynomial with respect to the time variable.
%B Journal of Dynamical and Control Systems. Volume 16, Issue 2, April 2010, Pages :149-162
%I SISSA
%G en
%U http://hdl.handle.net/1963/6461
%1 6407
%2 Mathematics
%4 1
%# MAT/05 ANALISI MATEMATICA
%$ Approved for entry into archive by Lucio Lubiana (lubiana@sissa.it) on 2013-02-06T09:37:23Z (GMT) No. of bitstreams: 0
%R 10.1007/s10883-010-9087-7
%0 Journal Article
%J Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009) 2503-2509
%D 2009
%T Controllability on the group of diffeomorphisms
%A Andrei A. Agrachev
%A Marco Caponigro
%X Given a compact manifold M, we prove that any bracket generating family of vector fields on M, which is invariant under multiplication by smooth functions, generates the connected component of identity of the group of diffeomorphisms of M.
%B Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009) 2503-2509
%G en_US
%U http://hdl.handle.net/1963/3396
%1 936
%2 Mathematics
%3 Functional Analysis and Applications
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%R 10.1016/j.anihpc.2009.07.003