Discrete Mathematics & Theoretical Computer Science, Vol 1 (1997)

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Controllability of affine right-invariant systems on solvable Lie groups

Yuri L. Sachkov


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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