Linear control systems on the homogeneous spaces of the 2D Lie group

DOI10.1016/J.JDE.2022.01.027zbMath1483.93036OpenAlexW4210331233MaRDI QIDQ2074471

Victor Ayala, María Torreblanca, Adriano Da Silva

Publication date: 10 February 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.01.027

zbMATH Keywords

homogeneous spaceslinear control systemssolvable Lie group

Mathematics Subject Classification ID

Controllability (93B05) Linear systems in control theory (93C05) Nilpotent and solvable Lie groups (22E25)

Related Items (2)

Dynamics of linear control systems on the group of proper motions ⋮ Linear control systems on homogeneous spaces of the Heisenberg group

Cites Work

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• Controllability of linear systems on low dimensional nilpotent and solvable Lie groups
• Controllability of linear systems on Lie groups
• Geometric state-space theory in linear multivariable control: A status report
• 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
• The control set of a linear control system on the two dimensional Lie group
• Controllability properties of a class of control systems on lie groups
• Equivalence of control systems with linear systems on Lie groups and homogeneous spaces
• Controllability of Linear Systems on Lie Groups with Finite Semisimple Center

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