Controllability types of a circular membrane with rotationally symmetric data

• Autorzy: Avdonin S. , Ivanov S.
• Języki publikacji: EN

Abstrakty

EN

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

EN

circular membrane; controllability; families of exponentials; wave equation

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 1999
• Tom: Vol. 28, no 3
• Strony: 383--396
• Opis fizyczny: Bibliogr. 17 poz.,

Twórcy

autor

Avdonin S.

autor

Ivanov S.