Involutive co-distributions preserved by transitive families of vector fields

• Ayala Bravo, Víctor ^[1]
  1. [1] Universidad Católica del Norte

     Universidad Católica del Norte

     Antofagasta, Chile

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 13, Nº. 1, 1994, págs. 35-52
• Idioma: inglés
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• Resumen

  • This paper deals with integrability conditions of involutive co-distributions defined on the co-tangent bundle of a differentiable manifold M. Via Frobeniu.s 's integrability theorem, the analysis is aimed at the search of conditions so that this type of co-distributions be preserved by transitive familiee of vector fields in M. We rely on the work of Lobry, Sussmann, Matsuda and Stefan. The type of situation studied comes up naturally in weak-observability problems and weakly- minimal realizations of arbitrary control systems.