Singular linear systems on Lie groups; equivalence

Victor Ayala; Philippe Jouan

doi:10.1016/j.sysconle.2018.07.010

Singular linear systems on Lie groups; equivalence

Victor Ayala
, Philippe Jouan

Instituto de Alta Investigación

Université de Rouen Normandie

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

3 Citas (Scopus)

Resumen

In this paper, we define different kinds of singular systems on Lie groups and we analyze some of them. Furthermore, we state sufficient conditions for a general nonlinear singular system defined on a manifold to be equivalent by diffeomorphism to one of these models. Some examples are computed.

Idioma original	Inglés
Páginas (desde-hasta)	1-8
Número de páginas	8
Publicación	Systems and Control Letters
Volumen	120
DOI	https://doi.org/10.1016/j.sysconle.2018.07.010
Estado	Publicada - oct. 2018

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title = "Singular linear systems on Lie groups; equivalence",

abstract = "In this paper, we define different kinds of singular systems on Lie groups and we analyze some of them. Furthermore, we state sufficient conditions for a general nonlinear singular system defined on a manifold to be equivalent by diffeomorphism to one of these models. Some examples are computed.",

keywords = "Control systems, Homogeneous spaces, Lie groups, Singular systems",

author = "Victor Ayala and Philippe Jouan",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier B.V.",

year = "2018",

month = oct,

doi = "10.1016/j.sysconle.2018.07.010",

language = "English",

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AU - Ayala, Victor

AU - Jouan, Philippe

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AB - In this paper, we define different kinds of singular systems on Lie groups and we analyze some of them. Furthermore, we state sufficient conditions for a general nonlinear singular system defined on a manifold to be equivalent by diffeomorphism to one of these models. Some examples are computed.

KW - Control systems

KW - Homogeneous spaces

KW - Lie groups

KW - Singular systems

UR - https://www.scopus.com/pages/publications/85051514249

U2 - 10.1016/j.sysconle.2018.07.010

DO - 10.1016/j.sysconle.2018.07.010

M3 - Article

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SN - 0167-6911

VL - 120

SP - 1

EP - 8

JO - Systems and Control Letters

JF - Systems and Control Letters

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Singular linear systems on Lie groups; equivalence

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