4 papers · 1 filter
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…