On the structural properties of the bounded control set of a linear control system

Víctor Ayala; Adriano Da Silva

doi:10.1007/s00030-022-00784-1

On the structural properties of the bounded control set of a linear control system

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4 Citas (Scopus)

Resumen

The present paper shows that the closure of the bounded control set of a linear control system contains all the bounded orbits of the system. As a consequence, we prove that the closure of this control set is the continuous image of the cartesian product of the set of control functions by the central subgroup associated with the drift of the system.

Idioma original	Inglés
Número de artículo	53
Publicación	Nonlinear Differential Equations and Applications
Volumen	29
N.º	5
DOI	https://doi.org/10.1007/s00030-022-00784-1
Estado	Publicada - sept 2022

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title = "On the structural properties of the bounded control set of a linear control system",

abstract = "The present paper shows that the closure of the bounded control set of a linear control system contains all the bounded orbits of the system. As a consequence, we prove that the closure of this control set is the continuous image of the cartesian product of the set of control functions by the central subgroup associated with the drift of the system.",

keywords = "Central subgroup, Control set, Linear systems, Periodic orbits",

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

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2022",

month = sep,

doi = "10.1007/s00030-022-00784-1",

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AU - Da Silva, Adriano

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AB - The present paper shows that the closure of the bounded control set of a linear control system contains all the bounded orbits of the system. As a consequence, we prove that the closure of this control set is the continuous image of the cartesian product of the set of control functions by the central subgroup associated with the drift of the system.

KW - Central subgroup

KW - Control set

KW - Linear systems

KW - Periodic orbits

UR - https://www.scopus.com/pages/publications/85132415452

U2 - 10.1007/s00030-022-00784-1

DO - 10.1007/s00030-022-00784-1

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JO - Nonlinear Differential Equations and Applications

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On the structural properties of the bounded control set of a linear control system

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