Local controllability for linear control systems on Lie groups

DOI10.1007/s10883-005-6584-1zbMath1085.93004OpenAlexW2123249440WikidataQ115383716 ScholiaQ115383716MaRDI QIDQ814969

Fabiana Cardetti, Dirk Mittenhuber

Publication date: 8 February 2006

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

Full work available at URL: https://doi.org/10.1007/s10883-005-6584-1

zbMATH Keywords

linear control systemsLie groupsreachable setlocal controllabilityHeisenberg Lie groupflow of drift vector field

Mathematics Subject Classification ID

Controllability (93B05) Geometric methods (93B27) Linear systems in control theory (93C05) Control/observation systems in abstract spaces (93C25)

Related Items (10)

The general solution for affine control systems on Lie groups ⋮ Controllability of linear systems on low dimensional nilpotent and solvable Lie groups ⋮ Control of mechanical systems on Lie groups and ideal hydrodynamics ⋮ Hermes-Sussmann and ad-rank conditions for local controllability ⋮ Solution curve for linear control systems on Lie groups ⋮ Controllability of linear systems on Lie groups ⋮ Periodic orbits of linear flows on connected Lie groups ⋮ A note on local controllability on Lie groups ⋮ Finite-time and exact-time controllability on compact manifolds ⋮ Equivalence of control systems with linear systems on Lie groups and homogeneous spaces

Cites Work

• Lie semigroups and their applications
• Controllability properties of a class of control systems on lie groups
• L'application exponentielle dans les groupes de Lie résolubles
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