Observability and symmetries of linear control systems

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

doi:10.3390/SYM12060953

Observability and symmetries of linear control systems

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

Departamento Académico de Matemáticas

Research output: Contribution to journal › Article › peer-review

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
Article number	953
Journal	Symmetry
Volume	12
Issue number	6
DOIs	https://doi.org/10.3390/SYM12060953
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

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10.3390/SYM12060953

Cite this

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KW - Symmetries

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Observability and symmetries of linear control systems

Abstract

Bibliographical note

Keywords

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