9 papers
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.…
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…
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…
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…
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…
Weak convergence of robust functions on topological groups
Victor Ayala, Adriano Da Silva, Heriberto Roman-Flores
In this paper we introduce a weak version of level and epigraph convergence for level functions on topological spaces. In the particular case of topological groups we are able to d…