3 papers
math.OC2025
A complete classification of control sets for singular linear control systems on the Heisenberg group
Adriano Da Silva, Okan Duman, Anderson F. P. Rojas
In this paper, we investigate the control sets of linear control systems on the Heisenberg group associated with singular derivations. Under the Lie algebra rank condition, we prov…
math.OC2024
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…
math.OC2023
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…