2 papers
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…
math.OC2016
Orbit equivalence of linear systems on manifolds and semigroup actions on homogeneous spaces
Rafael M. Hungaro, Osvaldo G. Rocio, Alexandre J. Santana
In this paper we introduce the notion of orbit equivalence for semigroup actions and the concept of generalized linear control system on smooth manifold. The main goal is to prove…