Abstract
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 language | English |
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Article number | 953 |
Journal | Symmetry |
Volume | 12 |
Issue number | 6 |
DOIs | |
State | Published - 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.
Keywords
- Euclidean spaces
- Lie groups
- Observability
- Symmetries