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  1. Home > Articles & Issues >
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  3. Controllability of a ...
Article

Controllability of affine right-invariant systems on solvable Lie groups

Yuri L. Sachkov (1)
(1) Institut des Systèmes de Programmes/Program Systems Institute [Pereslavl-Zallessky]
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Imported on
March 26, 2015
Published on
January 1, 1997
Last modified on
March 31, 2025
Volume 1
vol. 1
DOI
10.46298/dmtcs.245
License
https://about.hal.science/hal-authorisation-v1
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Controllability of affine right-invariant systems on solvable Lie groups

Yuri L. Sachkov (1)
(1) Institut des Systèmes de Programmes/Program Systems Institute [Pereslavl-Zallessky]
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.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • controllability
  • right-invariant system
  • Lie group
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