21 citations · 71 across the 19 of their papers we have counts for
4 papers · 1 filter
Chain controllability of linear control systems
Fritz Colonius, Alexandre J. Santana, Eduardo C. Viscovini
For linear control systems with bounded control range, chain controllability properties are analyzed. It is shown that there exists a unique chain control set and that it equals th…
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…
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…
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…