| Issue |
ESAIM: COCV
Volume 27, 2021
|
|
|---|---|---|
| Article Number | 96 | |
| Number of page(s) | 18 | |
| DOI | https://doi.org/10.1051/cocv/2021091 | |
| Published online | 06 October 2021 | |
Null controllability and finite-time stabilization in minimal time of one-dimensional first-order 2 × 2 linear hyperbolic systems
1
School of Mathematics, Shandong University, Jinan,
Shandong
250100, PR China.
2
Faculty of Mathematics and Computer Science, Jagiellonian University,
ul. Łojasiewicza 6,
30-348
Kraków, Poland.
* Corresponding author: hul@sdu.edu.cn
Received:
29
April
2021
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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