- Tytuł:
- Controllability types of a circular membrane with rotationally symmetric data
- Autorzy:
-
Avdonin, S.
Ivanov, S. - Powiązania:
- https://bibliotekanauki.pl/articles/206584.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
circular membrane
controllability
families of exponentials
wave equation - Opis:
- Various controllability types are demonstrated for a circular membrane with rotationally symmetric initial data and boundary control depending on time only. We prove that the set of initial states, which can be steered to rest in the critical time interval (equal to the diameter of the membrane) by means of [L^2]-controls is dense in the energy space but contains no eigenmode. We also show that any initial data from a Sobolev space can be transferred to a stationary state. The proof is based on study of exponential families arising in the approach using the method of moments.
- Źródło:
-
Control and Cybernetics; 1999, 28, 3; 383-396
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł