4 papers
Existence of eigensets on bilinear control systems
Eduardo Celso Viscovini
For bilinear control systems in we prove, under an accessibility hypothesis, the existence of a nontrivial compact set satisfying $\mathcal{O}…
An accessibility condition for discrete-time linear systems on Lie groups
Thiago Matheus Cavalheiro, Alexandre José Santana, Eduardo Celso Viscovini
In this paper, we characterize the accessibility of discrete-time linear control systems on Lie groups. Using an exceptional notion of derivative, we construct a subalgebra $\mathf…
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…
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…