| Issue |
ESAIM: COCV
Volume 30, 2024
|
|
|---|---|---|
| Article Number | 82 | |
| Number of page(s) | 13 | |
| DOI | https://doi.org/10.1051/cocv/2024069 | |
| Published online | 25 October 2024 | |
The minimal control time for the exact controllability by internal controls of 1D linear hyperbolic balance laws
1
School of Mathematics, Shandong University, Jinan, Shandong 250100, 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
March
2024
Accepted:
9
September
2024
In this article we study the internal controllability of 1D linear hyperbolic balance laws when the number of controls is equal to the number of state variables. The controls are supported in space in an arbitrary open subset. Our main result is a complete characterization of the minimal control time for the exact controllability property.
Mathematics Subject Classification: 35L40 / 93B05
Key words: Hyperbolic systems / minimal control time / internal controllability
© The authors. Published by EDP Sciences, SMAI 2024
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