%0 Journal Article
%J ESAIM Control Optim. Calc. Var. 12 (2006) 409-441
%D 2006
%T An estimation of the controllability time for single-input systems on compact Lie Groups
%A Andrei A. Agrachev
%A Thomas Chambrion
%X Geometric control theory and Riemannian techniques are used to describe the reachable set at time t of left invariant single-input control systems on semi-simple compact Lie groups and to estimate the minimal time needed to reach any point from identity. This method provides an effective way to give an upper and a lower bound for the minimal time needed to transfer a controlled quantum system with a drift from a given initial position to a given final position. The bounds include diameters of the flag manifolds; the latter are also explicitly computed in the paper.
%B ESAIM Control Optim. Calc. Var. 12 (2006) 409-441
%G en_US
%U http://hdl.handle.net/1963/2135
%1 2108
%2 Mathematics
%3 Functional Analysis and Applications
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-09-24T13:09:42Z\\nNo. of bitstreams: 1\\ncocv0452.pdf: 441157 bytes, checksum: 7c8ead7c835051e17567fe9bb8a60fbe (MD5)
%R 10.1051/cocv:2006007