Control Sets of Linear Control Systems on 2. the Complex Case

Victor Ayala; Adriano Da Silva; Erik Mamani

doi:10.1051/cocv/2023043

Control Sets of Linear Control Systems on ². the Complex Case

Universidad de Tarapacá

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6 Citas (Scopus)

Resumen

This paper explicitly computes the unique control set D with the non-empty interior of a linear control system on 2, when the associated matrix has complex eigenvalues. It turns out that the closure of D coincides with the region delimited by a computable periodic orbit of the system.

Idioma original	Inglés
Número de artículo	69
Publicación	ESAIM - Control, Optimisation and Calculus of Variations
Volumen	29
DOI	https://doi.org/10.1051/cocv/2023043
Estado	Publicada - 2023

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title = "Control Sets of Linear Control Systems on 2. the Complex Case",

abstract = "This paper explicitly computes the unique control set D with the non-empty interior of a linear control system on 2, when the associated matrix has complex eigenvalues. It turns out that the closure of D coincides with the region delimited by a computable periodic orbit of the system.",

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AU - Ayala, Victor

AU - Da Silva, Adriano

AU - Mamani, Erik

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AB - This paper explicitly computes the unique control set D with the non-empty interior of a linear control system on 2, when the associated matrix has complex eigenvalues. It turns out that the closure of D coincides with the region delimited by a computable periodic orbit of the system.

KW - Controllability

KW - Linear control systems control sets

UR - https://www.scopus.com/pages/publications/85169000585

U2 - 10.1051/cocv/2023043

DO - 10.1051/cocv/2023043

M3 - Article

AN - SCOPUS:85169000585

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VL - 29

JO - ESAIM - Control, Optimisation and Calculus of Variations

JF - ESAIM - Control, Optimisation and Calculus of Variations

M1 - 69