Discrete Mathematics & Theoretical Computer Science (Dec 1997)
Controllability of affine right-invariant systems on solvable Lie groups
Abstract
The aim of this paper is to present some recent results on controllability of right-invariant systems on Lie groups. From the Lie-theoretical point of view, we study conditions under which subsemigroups generated by half-planes in the Lie algebra of a Lie group coincide with the whole Lie group.