Biggs, Rory; Remsing, Claudiu C. Control affine systems on solvable three-dimensional Lie groups. I. (English) Zbl 1299.93050 Arch. Math., Brno 49, No. 3, 187-197 (2013). 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. Reviewer: Anton Galaev (Brno) Cited in 5 Documents MSC: 93B25 Algebraic methods 93A10 General systems 93B27 Geometric methods 17B30 Solvable, nilpotent (super)algebras Keywords:left-invariant control system; (detached) feedback equivalence; affine subspace; solvable Lie algebra PDFBibTeX XMLCite \textit{R. Biggs} and \textit{C. C. Remsing}, Arch. Math., Brno 49, No. 3, 187--197 (2013; Zbl 1299.93050) Full Text: DOI