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.
Title: Controllability of Affine Right-Invariant Systems on Solvable Lie Groups
Authors: Yu. L. Sachkov
Journal title: Discrete Mathematics and Theoretical Computer Science
Pages: 239 - 246