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

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 system2661282338257FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESP2016/11135-2; 2018/10696-6Conicyt, ChileComision Nacional de Investigacion Cientifica y Tecnologica (CONICYT) [1150292, 1190142]; FapespFundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) [2016/11135-2, 2018/10696-6