21 citations · 43 across the 7 of their papers we have counts for
9 papers
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…
The chain control set of discrete-time linear system on the affine two-dimensional Lie group
Thiago Cavalheiro, Alexandre Santana, João Cossich
In this paper, we present conditions for the existence and uniqueness of chain control sets of discrete-time linear systems on the affine two-dimensional Lie group. More specifical…
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…
Invariant cones for semigroups and controllability of bilinear control systems
Emerson V. Castelani, João A. N. Cossich, Alexandre J. Santana +1
In this paper we present necessary and sufficient conditions to guarantee the existence of invariant cones, for semigroup actions, in the space of the -fold exterior product. As…
Outer invariance entropy for discrete-time linear systems on Lie groups
Fritz Colonius, João A. N. Cossich, Alexandre J. Santana
We introduce discrete-time linear control systems on connected Lie groups and present an upper bound for the outer invariance entropy of admissible pairs (K,Q). If the stable subgr…
Controllability properties and invariance pressure for linear discrete-time systems
Fritz Colonius, João A. N. Cossich, Alexandre J. Santana
For linear control systems in discrete time controllability properties are characterized. In particular, a unique control set with nonvoid interior exists and it is bounded in the…
Bounds for Invariance Pressure
Fritz Colonius, Alexandre J. Santana, João A. N. Cossich
This paper provides an upper for the invariance pressure of control sets with nonempty interior and a lower bound for sets with finite volume. In the special case of the control se…
Invariance pressure of control sets
Fritz Colonius, João A. N. Cossich, Alexandre J. Santana
The invariance pressure of continuous-time control systems with initial states in a set K which are to be kept in a set Q is introduced and a number of results are derived, mainly…
Invariance Pressure for Control Systems
Fritz Colonius, Alexandre J. Santana, João A. N. Cossich
Notions of invariance pressure for control systems are introduced based on weights for the control values. The equivalence is shown between inner invariance pressure based on spann…