- Tytuł:
- Null controllability from the exterior of a one-dimensional nonlocal heat equation
- Autorzy:
-
Warma, Mahamadi
Zamorano, Sebastián - Powiązania:
- https://bibliotekanauki.pl/articles/1839138.pdf
- Data publikacji:
- 2019
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
fractional heat equation
exterior control
null controllability
controllability to the trajectories - Opis:
- We consider the null controllability problem from the exterior for the one dimensional heat equation on the interval (−1, 1), associated with the fractional Laplace operator (−∂2 x)s, where 0 < s < 1. We show that there is a control function, which is localized in a nonempty open set O ⊂ (R \ (−1, 1)), that is, at the exterior of the interval (−1, 1), such that the system is null controllable at any time T > 0 if and only if 1/2 < s < 1.
- Źródło:
-
Control and Cybernetics; 2019, 48, 3; 417-438
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł