Abstract:
A classification of full-rank affine subspaces of (real) three-dimensional Lie algebras is presented. In the context of invariant control affine systems, this is exactly a classification of all full-rank systems evolving on three-dimensional Lie groups.
Keywords and phrases:affine subspace, Lie algebra, the Bianchi–Behr classification, left-invariant control system, detached feedback equivalence.
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