Controllability of linear systems on low dimensional nilpotent and solvable Lie groups

DOI10.1007/S10883-014-9258-ZzbMath1333.93048OpenAlexW2166262137WikidataQ115383677 ScholiaQ115383677MaRDI QIDQ273803

Mouhamadou Dath, Philippe Jouan

Publication date: 22 April 2016

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

Full work available at URL: https://doi.org/10.1007/s10883-014-9258-z

zbMATH Keywords

controllabilitylinear systemsnilpotent and solvable Lie groups

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Nilpotent and solvable Lie groups (22E25) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (15)

Boundedness control sets for linear systems on Lie groups ⋮ Hermes-Sussmann and ad-rank conditions for local controllability ⋮ Controllability of Linear Systems on Lie Groups with Finite Semisimple Center ⋮ Solution curve for linear control systems on Lie groups ⋮ Singular linear systems on Lie groups; equivalence ⋮ 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 ⋮ 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 ⋮ 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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• Controllability of linear systems on Lie groups
• Local controllability for linear control systems on Lie groups
• Control theory on Lie groups
• Finite-time and exact-time controllability on compact manifolds
• Controllability properties of a class of control systems on lie groups
• Equivalence of control systems with linear systems on Lie groups and homogeneous spaces
• Invariant measures and controllability of finite systems on compact manifolds
• Null controllability on Lie groups

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