THE CHAIN CONTROL SET OF A LINEAR CONTROL SYSTEM

Adriano da Silva

doi:10.1137/23M1614055

THE CHAIN CONTROL SET OF A LINEAR CONTROL SYSTEM

Adriano da Silva

Departamento de Matemática

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

2 Citas (Scopus)

Resumen

In this paper, we analyze the chain control sets of linear control systems on connected Lie groups. Our main result shows that the compactness of the central subgroup associated with the drift is a sufficient condition to ensure the uniqueness and compactness of the chain control set containing the identity element of the group.

Idioma original	Inglés
Páginas (desde-hasta)	2053-2071
Número de páginas	19
Publicación	SIAM Journal on Control and Optimization
Volumen	63
N.º	3
DOI	https://doi.org/10.1137/23M1614055
Estado	Publicada - 2025

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title = "THE CHAIN CONTROL SET OF A LINEAR CONTROL SYSTEM",

abstract = "In this paper, we analyze the chain control sets of linear control systems on connected Lie groups. Our main result shows that the compactness of the central subgroup associated with the drift is a sufficient condition to ensure the uniqueness and compactness of the chain control set containing the identity element of the group.",

keywords = "Lie groups, chain control sets, linear control systems",

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AB - In this paper, we analyze the chain control sets of linear control systems on connected Lie groups. Our main result shows that the compactness of the central subgroup associated with the drift is a sufficient condition to ensure the uniqueness and compactness of the chain control set containing the identity element of the group.

KW - Lie groups

KW - chain control sets

KW - linear control systems

UR - https://www.scopus.com/pages/publications/105009413012

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DO - 10.1137/23M1614055

M3 - Article

AN - SCOPUS:105009413012

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JO - SIAM Journal on Control and Optimization

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THE CHAIN CONTROL SET OF A LINEAR CONTROL SYSTEM

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