3 papers
math.OC2025
A complete classification of control sets for singular linear control systems on the Heisenberg group
Adriano Da Silva, Okan Duman, Anderson F. P. Rojas
In this paper, we investigate the control sets of linear control systems on the Heisenberg group associated with singular derivations. Under the Lie algebra rank condition, we prov…
math.RA2025
Semigroups in semi-simple Lie groups: Flag type and estimation of cocycles
Adriano Da Silva, Luiz A. B. San Martin, Joao Victor Uzita
The flag type of a semigroup S of a noncompact semisimple Lie group is an algebraic tool related to the geometry of the invariant control set determined by S on the flag manifolds…
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…