%0 Journal Article %T An Underactuated Drift-Free Left Invariant Control System on a Specific Lie Group %A Camelia Pop Arie anu %J Journal of Applied Mathematics %D 2012 %I Hindawi Publishing Corporation %R 10.1155/2012/341470 %X The paper presents a geometrical overview on an optimal control problem on a special Lie group. The Hamilton-Poisson realization of the dynamics offers us the possibility to study the system from mechanical geometry point of view. %U http://www.hindawi.com/journals/jam/2012/341470/