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

Institute of Higher Research

Universidad de Tarapacá
Universidad Nacional San Agustín de Arequipa

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

3 Scopus citations

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

Keywords

Euclidean spaces
Lie groups
Observability
Symmetries

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10.3390/SYM12060953

Cite this

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title = "Observability and symmetries of linear control systems",

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.",

keywords = "Euclidean spaces, Lie groups, Observability, Symmetries",

author = "V{\'i}ctor Ayala and Heriberto Rom{\'a}n-Flores and Todco, \{Mar{\'i}a Torreblanca\} and Erika Zapana",

note = "Publisher Copyright: {\textcopyright} 2020 by the authors.",

year = "2020",

month = jun,

doi = "10.3390/SYM12060953",

language = "English",

volume = "12",

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AU - Ayala, Víctor

AU - Román-Flores, Heriberto

AU - Todco, María Torreblanca

AU - Zapana, Erika

PY - 2020/6

Y1 - 2020/6

N2 - 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.

AB - 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.

KW - Euclidean spaces

KW - Lie groups

KW - Observability

KW - Symmetries

UR - https://www.scopus.com/pages/publications/85089200793

U2 - 10.3390/SYM12060953

DO - 10.3390/SYM12060953

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SN - 2073-8994

VL - 12

JO - Symmetry

JF - Symmetry

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ER -

Observability and symmetries of linear control systems

Abstract

Keywords

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