Resumen de Orbit equivalence of linear systems on manifolds and semigroup actions on homogeneous spaces

João Augusto Navarro Cossich, R. M. Hungaro, O. G. Rocio, A. J. Santana

• 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.