4 citations · 14 across the 18 of their papers we have counts for
5 papers · 1 filter
Weak condition for the existence of control sets with a nonempty interior of linear control systems on nilpotent groups
Adriano Da Silva, Anderson Felipe Penagos Rojas
In this paper, we show that for a linear control system on a nilpotent Lie group, the Lie algebra rank condition is enough to assure the existence of a control set with a nonempty…
Control sets of one-input linear control systems on solvable, nonnilpotent 3D Lie groups
Adriano Da Silva, Lino Grama, Alejandro Otero Robles
In this article, we completely describe the control sets of one-input linear control systems on solvable, nonnilpotent 3D Lie groups. We show that, if the restriction of the associ…
Isometries of Almost-Riemannian structures on nonnilpotent, solvable 3D Lie groups
Victor Ayala, Adriano Da Silva, Danilo A. Garcia Hernández
In this paper we prove that automorphisms are the only isometries between rank two Almost-Riemannian Structures on the class of nonnilpotent, solvable, connected 3D Lie groups. As…
The chain control set of a linear control system
Adriano Da Silva
In this paper, we analyze the chain control sets of linear control systems on connected Lie groups. Our main result shows that the compactness of the central subgroup associated wi…
Minimal-time trajectories of a linear control system on a homogeneous space of the 2D Lie group
Victor Ayala, Adriano Da Silva, Maria Torreblanca
Through the Pontryagin maximum principle, we solve a minimal-time problem for a linear control system on a cylinder, considered as a homogeneous space of the solvable Lie group of…