TY - JOUR
T1 - An estimation of the controllability time for single-input systems on compact Lie Groups
JF - ESAIM Control Optim. Calc. Var. 12 (2006) 409-441
Y1 - 2006
A1 - Andrei A. Agrachev
A1 - Thomas Chambrion
AB - 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.
UR - http://hdl.handle.net/1963/2135
U1 - 2108
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -