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A review on some classes of algebraic systems
Authors:Víctor Ayala  Heriberto Román-Flores
Affiliation:1. Instituto de Alta Investigación, Universidad de Tarapacá, Sede Iquique, Chilevayala@uta.cl;3. Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile
Abstract:ABSTRACT

In this paper, we review some algebraic control system. Precisely, linear and bilinear systems on Euclidean spaces and invariant and linear systems on Lie groups. The fourth classes of systems have a common issue: to any class, there exists an associated subgroup. From this object, we survey the controllability property. Especially, from those coming from our contribution to the theory.
Keywords:Classical linear  bilinear  invariant and linear systems on Lie groups
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