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Control affine systems on solvable three-dimensional Lie groups. I. (English) Zbl 1299.93050

Control systems on Lie groups took attention of different mathematicians in the last years. In the present paper, the authors investigate affine control systems on solvable Lie groups with the Lie algebras of type II, IV and V in the Bianchi-Behr classification. The authors classify the full-rank left-invariant control affine systems on these Lie groups.

MSC:

93B25 Algebraic methods
93A10 General systems
93B27 Geometric methods
17B30 Solvable, nilpotent (super)algebras
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