Control sets of linear control systems on R2. The real case

Víctor Ayala; Adriano Da Silva; Anderson F.P. Rojas

doi:10.1007/s00030-024-00987-8

Control sets of linear control systems on R2. The real case

Víctor Ayala
, Adriano Da Silva
, Anderson F.P. Rojas

Universidade Estadual de Campinas

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

3 Citas (Scopus)

Resumen

In this paper, we study the dynamical behavior of a linear control system on R² when the associated matrix has real eigenvalues. Different from the complex case, we show that the position of the control zero relative to the control range can have a strong interference in such dynamics if the matrix is not invertible. In the invertible case, we explicitly construct the unique control set with a nonempty interior.

Idioma original	Inglés
Número de artículo	94
Publicación	Nonlinear Differential Equations and Applications
Volumen	31
N.º	5
DOI	https://doi.org/10.1007/s00030-024-00987-8
Estado	Publicada - sept 2024

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abstract = "In this paper, we study the dynamical behavior of a linear control system on R2 when the associated matrix has real eigenvalues. Different from the complex case, we show that the position of the control zero relative to the control range can have a strong interference in such dynamics if the matrix is not invertible. In the invertible case, we explicitly construct the unique control set with a nonempty interior.",

keywords = "93B03, 93B05, 93B27, Control sets, Controllability, Linear control systems",

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AU - Rojas, Anderson F.P.

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KW - 93B05

KW - 93B27

KW - Control sets

KW - Controllability

KW - Linear control systems

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Control sets of linear control systems on R2. The real case

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