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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.
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https://hal.inria.fr/hal-00955701
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Yuri L. Sachkov. Controllability of affine right-invariant systems on solvable Lie groups. Discrete Mathematics and Theoretical Computer Science, DMTCS, 1997, 1, pp.239-246. ⟨hal-00955701⟩

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