Controllability and semigroups of invariant control systems on \(\mathrm{Sl}(n, \mathbb{H})\)

DOI10.1007/s00498-022-00317-2zbMath1494.93021OpenAlexW4211221469MaRDI QIDQ2153497

Bruno A. Rodrigues, Alexandre J. Santana, Luiz A. B. San Martin

Publication date: 5 July 2022

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00498-022-00317-2

zbMATH Keywords

controllabilitycontrol systemsflag manifolds

Mathematics Subject Classification ID

Controllability (93B05) Semigroups (20M99) Matrix Lie algebras (15B30)

Cites Work

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• Controllability of control systems on complex simple Lie groups and the topology of flag manifolds
• Control systems subordinated to a group action: Accessibility
• Control systems on semi-simple Lie groups and their homogeneous spaces
• Semigroup actions on homogeneous spaces
• A method to find generators of a semi-simple Lie group via the topology of its flag manifolds
• Cellular homology of real flag manifolds
• Maximal semigroups in semi-simple Lie groups
• Lie Groups
• On subsemigroups of semisimple Lie groups

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