Semigroups of simple Lie groups and controllability

DOI10.1007/s10883-013-9201-8zbMath1283.93052OpenAlexW2092751975WikidataQ115383689 ScholiaQ115383689MaRDI QIDQ2444138

Rachida El Assoudi-Baikari

Publication date: 8 April 2014

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-013-9201-8

zbMATH Keywords

controllabilityroot systemsinvariant vector fieldssimple Lie groups

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Algebraic methods (93B25) Semisimple Lie groups and their representations (22E46) Root systems (17B22)

Related Items (4)

Adjoint orbits of \(sl(2, \mathbb{R})\) on real simple Lie algebras and controllability ⋮ The reachable set of single-mode quadratic Hamiltonians ⋮ Adjoint orbits of \(\mathrm{sl}(2,\mathbb R)\) on real simple Lie algebras and controllability ⋮ Unnamed Item

Cites Work

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• Controllability of right invariant systems on real simple Lie groups
• Maximal semigroups and controllability in products of Lie groups
• Controllability on classical Lie groups
• Controllability of right invariant systems on real simple Lie groups of type \(F_ 4\), \(G_ 2\), \(C_ n\), and \(B_ n\)
• Control systems on semi-simple Lie groups and their homogeneous spaces
• Maximal subsemigroups of Lie groups that are total
• Determination of the Transitivity of Bilinear Systems
• On Everywhere Dense Imbedding of Free Groups in Lie Groups
• On subsemigroups of semisimple Lie groups

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