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An estimation of the controllability time for single-input systems on compact Lie Groups

TitleAn estimation of the controllability time for single-input systems on compact Lie Groups
Publication TypeJournal Article
Year of Publication2006
AuthorsAgrachev, AA, Chambrion, T
JournalESAIM Control Optim. Calc. Var. 12 (2006) 409-441
Abstract

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.

URLhttp://hdl.handle.net/1963/2135
DOI10.1051/cocv:2006007

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