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math.OC2023
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…
math.OC2021
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…
math.OC2019
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…