Controllability of linear systems on Lie groups

DOI10.1007/S10883-011-9131-2zbMath1236.93020OpenAlexW2085793866WikidataQ115383705 ScholiaQ115383705MaRDI QIDQ415570

Philippe Jouan

Publication date: 8 May 2012

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

Full work available at URL: https://doi.org/10.1007/s10883-011-9131-2

zbMATH Keywords

vector fieldcontrol-affine systemnilpotent and compact Lie groups

Mathematics Subject Classification ID

Controllability (93B05) Linear systems in control theory (93C05) Algebraic methods (93B25) General properties and structure of real Lie groups (22E15)

Related Items (24)

The general solution for affine control systems on Lie groups ⋮ Controllability of linear systems on low dimensional nilpotent and solvable Lie groups ⋮ Boundedness control sets for linear systems on Lie groups ⋮ Affine and bilinear systems on Lie groups ⋮ On the structural properties of the bounded control set of a linear control system ⋮ Unnamed Item ⋮ Hermes-Sussmann and ad-rank conditions for local controllability ⋮ About the continuity of reachable sets of restricted affine control systems ⋮ Controllability of Linear Systems on Lie Groups with Finite Semisimple Center ⋮ Solution curve for linear control systems on Lie groups ⋮ Periodic orbits of linear flows on connected Lie groups ⋮ Sufficient conditions for dispersiveness of invariant control affine systems on the Heisenberg group ⋮ On the characterization of the controllability property for linear control systems on nonnilpotent, solvable three-dimensional Lie groups ⋮ Control sets of linear systems on semi-simple Lie groups ⋮ Time optimal control for linear systems on Lie groups ⋮ Control sets of linear systems on Lie groups ⋮ Isometries of almost-Riemannian structures on Lie groups ⋮ A semigroup associated to a linear control system on a Lie group ⋮ Control sets of linear control systems on matrix groups and applications ⋮ The control set of a linear control system on the two dimensional Lie group ⋮ A review on some classes of algebraic systems ⋮ Almost-Riemannian Geometry on Lie Groups ⋮ Linear control systems on the homogeneous spaces of the 2D Lie group ⋮ Controllability of linear systems on Heisenberg groups ℍⁿ

Cites Work

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• On the existence of observable linear systems on Lie groups
• Local controllability for linear control systems on Lie groups
• Control theory on Lie groups
• Nonreversibility of subsemigroups of semi-simple Lie groups
• Semigroup actions on homogeneous spaces
• Controllability of invariant systems on Lie groups and homogeneous spaces.
• Finite-time and exact-time controllability on compact manifolds
• Control systems on Lie groups
• Controllability properties of a class of control systems on lie groups
• Equivalence of control systems with linear systems on Lie groups and homogeneous spaces
• On subsemigroups of semisimple Lie groups

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