Controllability of affine right-invariant systems on solvable Lie groups

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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Bibliographic Details
Main Author: Yuri L. Sachkov
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 1997-12-01
Series:Discrete Mathematics & Theoretical Computer Science
Online Access:http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/88
Description
Summary: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.
ISSN:1462-7264
1365-8050