Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
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.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
383--396
Opis fizyczny
Bibliogr. 17 poz.,
Twórcy
autor
autor
Bibliografia
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT2-0001-0293