| Issue |
ESAIM: COCV
Volume 29, 2023
|
|
|---|---|---|
| Article Number | 69 | |
| Number of page(s) | 16 | |
| DOI | https://doi.org/10.1051/cocv/2023043 | |
| Published online | 17 August 2023 | |
Control Sets of Linear Control Systems on ℝ2. The Complex Case
1 Universidad de Tarapacá Institute de Alta Investigación Casilla 7D, Arica, Chile
2 Departamento de Matemática, Universidad de Tarapacá – Iquique, Chile
3 Programa Magister en Ciencias con Mención Matemática, Departamento de Matemática, Universidad de Tarapacá, Casilla 7D, Arica, Chile
** Corresponding author: vayala@academicos.uta.cl
Received:
16
July
2022
Accepted:
30
May
2023
This paper explicitly computes the unique control set D with the non-empty interior of a linear control system on ℝ2, 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 𝒪 of the system.
Mathematics Subject Classification: 93B03 / 9B05 / 93B27
Key words: Linear control systems – control sets / controllability
© The authors. Published by EDP Sciences, SMAI 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.