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

Departamento Académico de Matemáticas

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

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

Bibliographical note

Funding Information:
Supported by Proyecto Fondecyt n? 1190142. CONICYT, Chile.Supported by FAPESP grants no 2020/12971-4 and 2018/13481-0, and partially by CNPq grant no. 309820/2019-7.

Publisher Copyright:
© 2022 Elsevier Inc.

Keywords

Homogeneous spaces
Linear control systems
Solvable Lie group

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10.1016/j.jde.2022.01.027

Cite this

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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",

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AU - Ayala, Víctor

AU - Da Silva, Adriano

AU - Torreblanca, María

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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

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DO - 10.1016/j.jde.2022.01.027

M3 - Artículo

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SP - 850

EP - 870

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

ER -

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

Abstract

Bibliographical note

Keywords

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