5 papers · 1 filter
Chain recurrence and Selgrade`s theorem for affine flows
Fritz Colonius, Alexandre J. Santana
Affine flows on vector bundles with chain transitive base flow are lifted to linear flows and the decomposition into exponentially separated subbundles provided by Selgrade's theor…
Global controllability properties of linear control systems
Fritz Colonius, Alexandre J. Santana
For linear control systems with bounded control range, the state space is compactified using the Poincaré sphere. The linearization of the induced control flow allows the construc…
Strong chain control sets and affine control systems
Fritz Colonius, Alexandre J. Santana
For control-affine systems on non-compact manifolds, the notion of strong chain control sets is introduced and related to the strong chain transitivity of the associated control fl…
Controllability of discrete-time linear systems on solvable Lie groups
Thiago Cavalheiro, Alexandre Santana, João Cossich +1
The objective of this paper is to study the controllability of discrete-time linear control systems in solvable Lie groups. In the special case of nilpotent Lie groups, a necessary…
Controllability of discrete-time linear systems on lie groups with finite semisimple center
Thiago Cavalheiro, Alexandre Santana, João Cossich
In this paper we stated a condition for the controllability of discrete-time linear systems for the case when the Lie group has finite semisimple center and provided a example in t…