Linear control systems on the homogeneous spaces of the 2D Lie group

Víctor Ayala; Adriano Da Silva; María Torreblanca

doi:10.1016/j.jde.2022.01.027

Linear control systems on the homogeneous spaces of the 2D Lie group

Víctor Ayala
, Adriano Da Silva
, María Torreblanca

Institute of Higher Research

Universidade Estadual de Campinas
Universidad Nacional San Agustín de Arequipa

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

6 Scopus citations

Abstract

In this paper, we classify all the possible linear control systems on the homogeneous spaces of the 2D solvable Lie group and study their controllability and control sets.

Original language	English
Pages (from-to)	850-870
Number of pages	21
Journal	Journal of Differential Equations
Volume	314
DOIs	https://doi.org/10.1016/j.jde.2022.01.027
State	Published - 25 Mar 2022

Keywords

Homogeneous spaces
Linear control systems
Solvable Lie group

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10.1016/j.jde.2022.01.027

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title = "Linear control systems on the homogeneous spaces of the 2D Lie group",

abstract = "In this paper, we classify all the possible linear control systems on the homogeneous spaces of the 2D solvable Lie group and study their controllability and control sets.",

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

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

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year = "2022",

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day = "25",

doi = "10.1016/j.jde.2022.01.027",

language = "English",

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T1 - Linear control systems on the homogeneous spaces of the 2D Lie group

AU - Ayala, Víctor

AU - Da Silva, Adriano

AU - Torreblanca, María

PY - 2022/3/25

Y1 - 2022/3/25

N2 - In this paper, we classify all the possible linear control systems on the homogeneous spaces of the 2D solvable Lie group and study their controllability and control sets.

AB - In this paper, we classify all the possible linear control systems on the homogeneous spaces of the 2D solvable Lie group and study their controllability and control sets.

KW - Homogeneous spaces

KW - Linear control systems

KW - Solvable Lie group

UR - https://www.scopus.com/pages/publications/85123678437

U2 - 10.1016/j.jde.2022.01.027

DO - 10.1016/j.jde.2022.01.027

M3 - Article

AN - SCOPUS:85123678437

SN - 0022-0396

VL - 314

SP - 850

EP - 870

JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

Linear control systems on the homogeneous spaces of the 2D Lie group

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Keywords

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