- Tytuł:
- Averaged controllability of heat equation in unbounded domains with random geometry and location of controls: The Green’s function approach
- Autorzy:
-
Klamka, Jerzy
Khurshudyan, Asatur Zh. - Powiązania:
- https://bibliotekanauki.pl/articles/230101.pdf
- Data publikacji:
- 2019
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
lack of controllability
constrained controllability
heuristic method
averaged dynamics
uniformly distributed random variable - Opis:
- The constrained averaged controllability of linear one-dimensional heat equation defined on R and R+ is studied. The control is carried out by means of the time-dependent intensity of a heat source located at an uncertain interval of the corresponding domain, the end-points of which are considered as uniformly distributed random variables. Employing the Green’s function approach, it is shown that the heat equation is not constrained averaged controllable neither in R nor in R+. Sufficient conditions on initial and terminal data for the averaged exact and approximate controllabilities are obtained. However, constrained averaged controllability of the heat equation is established in the case of point heat source, the location of which is considered as a uniformly distributed random variable. Moreover, it is obtained that the lack of averaged controllability occurs for random variables with arbitrary symmetric density function.
- Źródło:
-
Archives of Control Sciences; 2019, 29, 4; 573-584
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł