Observability and Symmetries of Linear Control Systems

Symmetry

卷:12

Erika Zapana¹  María Torreblanca Todco¹  Heriberto Román-Flores²  Víctor Ayala² 

[1] Departamento Académico de Matemáticas, Universidad, Nacional de San Agustín de Arequipa, Calle Santa Catalina, Nro. 117, Arequipa 04000, Peru;

[2] Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica 1000000, Chile;

关键词: observability;    symmetries;    Euclidean spaces;    Lie groups;   

DOI  :  10.3390/sym12060953

来源: DOAJ

【 摘 要 】

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 ${\mathbb{R}}^n$ 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.

【 授权许可】

Unknown