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arxiv: 1804.09563 · v3 · pith:WETBRPGTnew · submitted 2018-04-25 · 🧮 math.OC

On the characterization of the controllability property for linear control systems on nonnilpotent, solvable three-dimensional Lie groups

classification 🧮 math.OC
keywords characterizationcontrolcontrollabilitygroupslinearnonnilpotentpropertysolvable
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In this paper we show that a complete characterization of the controllability property for linear control system on three-dimensional solvable nonnilpotent Lie groups is possible by the LARC and the knowledge of the eigenvalues of the derivation associated with the drift of the system.

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