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

• Cossich, João Augusto Navarro ; Hungaro, R. M. ^[1] ; Rocio, O. G. ^[1] ; Santana, A. J.
  1. [1] Universidade Estadual de Maringá

     Universidade Estadual de Maringá

     Brasil

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 41, Nº. 5, 2022, págs. 1173-1198
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-5169
• Enlaces
  • Texto completo
• Resumen

  • 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.

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