Controllability of right invariant systems on real simple Lie groups

DOI10.1016/S0167-6911(84)80101-2zbMath0552.93010OpenAlexW2066185947WikidataQ115339571 ScholiaQ115339571MaRDI QIDQ801858

Jean-Paul Gauthier, Ivan Kupka, Gauthier Sallet

Publication date: 1984

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(84)80101-2

zbMATH Keywords

Lie grouprank conditionstrong controllability

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Semisimple Lie groups and their representations (22E46) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Adjoint orbits of \(sl(2, \mathbb{R})\) on real simple Lie algebras and controllability ⋮ Maximal semigroups and controllability in products of Lie groups ⋮ Controllability on classical Lie groups ⋮ On global controllability of discrete-time control systems ⋮ Controllability of control systems on complex simple Lie groups and the topology of flag manifolds ⋮ Controllability of right invariant systems on real simple Lie groups of type \(F_ 4\), \(G_ 2\), \(C_ n\), and \(B_ n\) ⋮ Dynamical decomposition of bilinear control systems subject to symmetries ⋮ A method to find generators of a semi-simple Lie group via the topology of its flag manifolds ⋮ Semigroups of simple Lie groups and controllability ⋮ Infinitesimally generated subsemigroups of motion groups ⋮ Linear control semigroups acting on projective space ⋮ Errata to: ``Infinitesimally generated subsemigroups of motion groups ⋮ 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 ⋮ A review on some classes of algebraic systems ⋮ 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

• Control systems on semi-simple Lie groups and their homogeneous spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Controllability of right invariant systems on real simple Lie groups