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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…
math.OC2025
Existence and uniqueness of control sets with a nonempty interior for linear control systems on solvable groups
Adriano Da Silva
In this paper, we obtain weak conditions for the existence of a control set with a nonempty interior for a linear control system on a solvable Lie group. We show that the Lie algeb…