Volume 27, 2021
|Number of page(s)||18|
|Published online||06 October 2021|
Null controllability and finite-time stabilization in minimal time of one-dimensional first-order 2 × 2 linear hyperbolic systems
School of Mathematics, Shandong University, Jinan,
250100, PR China.
2 Faculty of Mathematics and Computer Science, Jagiellonian University, ul. Łojasiewicza 6, 30-348 Kraków, Poland.
* Corresponding author: firstname.lastname@example.org
Accepted: 10 September 2021
The goal of this article is to present the minimal time needed for the null controllability and finite-time stabilization of one-dimensional first-order 2 × 2 linear hyperbolic systems. The main technical point is to show that we cannot obtain a better time. The proof combines the backstepping method with the Titchmarsh convolution theorem.
Mathematics Subject Classification: 35L40 / 93B05 / 93D15 / 45D05
Key words: Hyperbolic systems / Boundary controllability / Minimal control time / Backstepping method / Titchmarsh convolution theorem
© The authors. Published by EDP Sciences, SMAI 2021
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.
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