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.
https://hal.inria.fr/hal-00955701 Contributor : Alain MonteilConnect in order to contact the contributor Submitted on : Wednesday, March 5, 2014 - 9:31:55 AM Last modification on : Tuesday, July 14, 2020 - 11:04:05 AM Long-term archiving on: : Thursday, June 5, 2014 - 10:55:49 AM
yuri L. Sachkov. Controllability of affine right-invariant systems on solvable Lie groups. Discrete Mathematics and Theoretical Computer Science, DMTCS, 1997, Vol. 1, pp.239-246. ⟨10.46298/dmtcs.245⟩. ⟨hal-00955701⟩