Abstract
In this paper, we deal with uniform- and arbitrary-time controllability problem of affine control systems on several Lie group. For this class of control systems, we establish uniform-time controllability properties on simply connected semisimple Lie groups. We also show that if the system is controllable, then an affine control system on compact Lie groups is controllable at uniform time. Finally, we show that arbitrary-time controllability of affine control systems on Carnot groups is established by relating to their associated bilinear part.
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