3 papers
math.GN2020
Weak convergence of robust functions on topological groups
Victor Ayala, Adriano Da Silva, Heriberto Roman-Flores
In this paper we introduce a weak version of level and epigraph convergence for level functions on topological spaces. In the particular case of topological groups we are able to d…
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…