Geodesic
Control affine systems on solvable three-dimensional Lie groups, I
Archivum mathematicum, Tome 49 (2013) no. 3, pp. 187-197

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We seek to classify the full-rank left-invariant control affine systems evolving on solvable three-dimensional Lie groups. In this paper we consider only the cases corresponding to the solvable Lie algebras of types II, IV, and V in the Bianchi-Behr classification.
DOI : 10.5817/AM2013-3-187
Classification : 17B30, 93A10, 93B27
Keywords: left-invariant control system; (detached) feedback equivalence; affine subspace; solvable Lie algebra 
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Biggs, Rory; Remsing, Claudiu C. Control affine systems on solvable three-dimensional Lie groups, I. Archivum mathematicum, Tome 49 (2013) no. 3, pp. 187-197. doi: 10.5817/AM2013-3-187

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