3 papers
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.OC2024
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…
math.DS2022
Linear control systems on the homogeneous spaces of the Heisenberg group
Adriano Da Silva, Okan Duman, Eyüp Kizil
Let H denote the 3-dimensional Heisenberg Lie group. The present paper classify all possible linear control systems on the homogeneous spaces of H through its closed subgroups and…