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math.OC2018
Control sets of linear systems on semi-simple Lie groups
Victor Ayala, Adriano Da Silva, Philippe Jouan +1
In this paper we study the main properties of control sets with nonempty interior of linear control systems on semisimple Lie groups. We show that, unlike the solvable case, linear…
math.OC2018
The control set of a linear control system on the two dimensional solvable Lie group
Victor Ayala, Adriano Da Silva
In this paper we explicitly calculate the control sets associated with a linear control system on the two dimensional solvable Lie group. We show that a linear control system of su…
math.OC2018
On the characterization of the controllability property for linear control systems on nonnilpotent, solvable three-dimensional Lie groups
Victor Ayala, Adriano Da Silva
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 b…