Uniform controllable sets of left-invariant vector fields on compact Lie groups

DOI10.1016/0167-6911(86)90128-3zbMath0598.93005OpenAlexW4235263159WikidataQ115363804 ScholiaQ115363804MaRDI QIDQ1080398

Fátima Silva Leite

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0167-6911(86)90128-3

zbMATH Keywords

compact Lie groupsuniform controllabilityleft invariant vector fields

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Semisimple Lie groups and their representations (22E46) Lie algebras of Lie groups (22E60) Controllability of vector fields on (C^infty) and real-analytic manifolds (57R27)

Related Items (5)

Controllability on classical Lie groups ⋮ Unnamed Item ⋮ Controllability of invariant systems on Lie groups and homogeneous spaces. ⋮ Uniform finite generation of compact Lie groups. ⋮ Uniform controllable sets of left-invariant vector fields on noncompact Lie groups

Cites Work

• Bounds on the order of generation of SO(n,R) by one-parameter subgroups
• On the uniform finite generation of \(\mathrm{SO}(n,\mathbb R)\)
• Uniform finite generation of the rotation group
• Unnamed Item
• Unnamed Item
• Unnamed Item

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