4 citations · 14 across the 18 of their papers we have counts for
26 papers
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…
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…
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…
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…
Minimal-time trajectories of a linear control system on a homogeneous space of the 2D Lie group
Victor Ayala, Adriano Da Silva, Maria Torreblanca
Through the Pontryagin maximum principle, we solve a minimal-time problem for a linear control system on a cylinder, considered as a homogeneous space of the solvable Lie group of…
Dynamics of LCSs on the group of proper motions
Victor Ayala, Adriano Da Silva, Alejandro Otero Robles
This article describes the control behavior of any linear control systems on the group of proper motions . It characterizes the controllability property and the control sets…