5 papers
Control sets of linear control systems on . The real case
Victor Ayala, Adriano Da Silva, Anderson F. P. Rojas
In this paper, we study the dynamical behavior of a linear control system on when the associated matrix has real eigenvalues. Different from the complex case, we show that t…
One-input linear control systems on the homogeneous spaces of the Heisenberg group -- The singular case
Adriano Da Silva, Okan Duman, Eyüp Kizil
The controllability issue of control-affine systems on smooth manifolds is one of the main problems in the theory, and it is recently known [Jouan P. Equivalence of control systems…
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…