Orbit equivalence of linear systems on manifolds and semigroup actions on homogeneous spaces
Cossich, João Augusto Navarro
Hungaro, R. M.
Rocio, O. G.
Santana, A. J.
In this paper we introduce the notion of orbit equivalence for semi-group actions and the concept of generalized linear control system onsmooth manifold. The main goal is to prove that, under certain condi-tions, the semigroup system of a generalized linear control system on asmooth manifold is orbit equivalent to the semigroup system of a linearcontrol system on a homogeneous space.