Observability and Symmetries of Linear Control Systems

被引：3

作者：

Ayala, Victor ^{[1
]}

Roman-Flores, Heriberto ^{[1
]}

Torreblanca Todco, Maria ^{[2
]}

Zapana, Erika ^{[2
]}

机构：

[1] Univ Tarapaca, Inst Alta Invest, Casilla 7D, Arica 1000000, Chile

[2] Univ Nacl San Agustin Arequipa, Dept Acad Matemat, Calle Santa Catalina 117, Arequipa 04000, Peru

来源：

SYMMETRY-BASEL | 2020年 / 12卷 / 06期

关键词：

observability; symmetries; Euclidean spaces; Lie groups; LIE-GROUPS; CONTROLLABILITY;

D O I：

10.3390/sym12060953

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

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 spaceRnand, in a more general setup, on a connected Lie groupG. 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.

引用

页数：19

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