2 papers
math.OC2024
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}…
math.OC2024
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…