The control set of a linear control system on the two dimensional Lie group

Víctor Ayala; Adriano Da Silva

doi:10.1016/j.jde.2019.11.054

The control set of a linear control system on the two dimensional Lie group

Instituto de Alta Investigación

Universidade Estadual de Campinas

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

16 Citas (Scopus)

Resumen

In this paper we explicitly calculate the control sets associated with a linear control system on the two dimensional solvable Lie group. We show that a linear control system of such kind admits exactly one control set or infinite control sets depending on some algebraic conditions.

Idioma original	Inglés
Páginas (desde-hasta)	6683-6701
Número de páginas	19
Publicación	Journal of Differential Equations
Volumen	268
N.º	11
DOI	https://doi.org/10.1016/j.jde.2019.11.054
Estado	Publicada - 15 may. 2020

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title = "The control set of a linear control system on the two dimensional Lie group",

abstract = "In this paper we explicitly calculate the control sets associated with a linear control system on the two dimensional solvable Lie group. We show that a linear control system of such kind admits exactly one control set or infinite control sets depending on some algebraic conditions.",

keywords = "Linear control systems, Solvable Lie group",

author = "V{\'i}ctor Ayala and \{Da Silva\}, Adriano",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2020",

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day = "15",

doi = "10.1016/j.jde.2019.11.054",

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T1 - The control set of a linear control system on the two dimensional Lie group

AU - Ayala, Víctor

AU - Da Silva, Adriano

PY - 2020/5/15

Y1 - 2020/5/15

N2 - In this paper we explicitly calculate the control sets associated with a linear control system on the two dimensional solvable Lie group. We show that a linear control system of such kind admits exactly one control set or infinite control sets depending on some algebraic conditions.

AB - In this paper we explicitly calculate the control sets associated with a linear control system on the two dimensional solvable Lie group. We show that a linear control system of such kind admits exactly one control set or infinite control sets depending on some algebraic conditions.

KW - Linear control systems

KW - Solvable Lie group

UR - https://www.scopus.com/pages/publications/85081017080

U2 - 10.1016/j.jde.2019.11.054

DO - 10.1016/j.jde.2019.11.054

M3 - Article

AN - SCOPUS:85081017080

SN - 0022-0396

VL - 268

SP - 6683

EP - 6701

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 11

ER -

The control set of a linear control system on the two dimensional Lie group

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