Controllability of right invariant systems on real simple Lie groups of type \(F_ 4\), \(G_ 2\), \(C_ n\), and \(B_ n\)

DOI10.1007/BF02551290zbMath0672.93009OpenAlexW2004392187WikidataQ115392074 ScholiaQ115392074MaRDI QIDQ1120519

R. El Assoudi, Jean-Paul Gauthier

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf02551290

zbMATH Keywords

root systemscontrollability rank conditionreal simple Lie groups of \(F_ 4\), \(G_ 2\), \(C_ n\) and \(B_ n\) typesright-invariant systems

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Algebraic methods (93B25)

Related Items (9)

Adjoint orbits of \(sl(2, \mathbb{R})\) on real simple Lie algebras and controllability ⋮ On global controllability of discrete-time control systems ⋮ Semigroups of simple Lie groups and controllability ⋮ Adjoint orbits of \(\mathrm{sl}(2,\mathbb R)\) on real simple Lie algebras and controllability ⋮ On subsemigroups of semisimple Lie groups ⋮ Invariant control sets on flag manifolds ⋮ An estimation of the controllability time for single-input systems on compact Lie Groups ⋮ Controllability of invariant systems on Lie groups and homogeneous spaces. ⋮ Unnamed Item

Cites Work

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• Controllability of right invariant systems on real simple Lie groups
• Controllability on classical Lie groups
• Control systems on semi-simple Lie groups and their homogeneous spaces
• Controlabilité des Systémes Bilinéaires

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