Orbit equivalence of linear systems on manifolds and semigroup actions on homogeneous spaces
Keywords:control systems, orbit equivalence, lie groups, homogeneous spaces
In this paper we introduce the notion of orbit equivalence for semi-
group actions and the concept of generalized linear control system on
smooth manifold. The main goal is to prove that, under certain condi-
tions, the semigroup system of a generalized linear control system on a
smooth manifold is orbit equivalent to the semigroup system of a linear
control system on a homogeneous space.
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