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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…
math.DS2025
The chain recurrent set of flow of automorphisms on a decomposable Lie group
Adriano Da Silva, Jhon Eddy Pariapaza Mamani
In this paper we show that the chain recurrent set of a flow of automorphisms on a connected Lie group coincides with the central subgroup of the flow, if the group is decomposable…