Observability and symmetries of linear control systems

Víctor Ayala, Heriberto Román-Flores, María Torreblanca Todco, Erika Zapana

Research output: Contribution to journalArticlepeer-review


The goal of this article is to compare the observability properties of the class of linear control systems in two different manifolds: on the Euclidean space Rn and, in a more general setup, on a connected Lie group G. For that, we establish well-known results. The symmetries involved in this theory allow characterizing the observability property on Euclidean spaces and the local observability property on Lie groups.

Original languageEnglish
Article number953
Issue number6
StatePublished - Jun 2020

Bibliographical note

Funding Information:
Se agradece a la Universidad Nacional de San Agustín de Arequipa, UNSA, por el financiamiento del proyecto de investigación según Contrato NO IAI-014-2018-UNSA.

Publisher Copyright:
© 2020 by the authors.


  • Euclidean spaces
  • Lie groups
  • Observability
  • Symmetries


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