TY - JOUR
T1 - Dynamics control by a time-varying feedback
JF - Journal of Dynamical and Control Systems. Volume 16, Issue 2, April 2010, Pages :149-162
Y1 - 2010
A1 - Andrei A. Agrachev
A1 - Marco Caponigro
KW - Discrete-time dynamics
AB - 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.
PB - SISSA
UR - http://hdl.handle.net/1963/6461
U1 - 6407
U2 - Mathematics
U4 - 1
U5 - MAT/05 ANALISI MATEMATICA
ER -
TY - JOUR
T1 - Controllability on the group of diffeomorphisms
JF - Ann. Inst. H. PoincarĂ© Anal. Non LinĂ©aire 26 (2009) 2503-2509
Y1 - 2009
A1 - Andrei A. Agrachev
A1 - Marco Caponigro
AB - 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.
UR - http://hdl.handle.net/1963/3396
U1 - 936
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -