3 papers
math.OC2026
Maxwell Strata in the sub-Riemannian problem on solvable, nonnilpotent regular three-dimensional Lie groups
Adriano Da Silva, Lino Grama, Douglas Duarte Novaes +1
In this paper, we study the sub-Riemannian problem associated with contact structures on connected, simply connected, solvable, non-nilpotent, regular three-dimensional Lie groups.…
math.OC2025
Linear control systems on a 4D solvable Lie group used to model primary visual cortex
Adriano Da Silva, Eyüp Kizil, Victor Ayala
In this article, we study linear control systems on a 4-dimensional solvable Lie group. Our motivation stems from the model introduced in \cite{baspinar}, which presents a precise…
math.OC2025
Dynamics of linear control systems and stabilization
Victor Ayala, Adriano Da Silva
In this paper, we study linear control systems with positive bounded orbits. We show that the existence of positive bounded orbits imposes strong algebraic and topological constrai…