Exponential stabilization of a structural acoustic model arising in the control of noise
- 1Universidad de Los Lagos
- 2Instituto Militar de Engenharia (IME)
- 3Universidad del Bio-Bio
- 4Universidad de Tarapaca
- 5
Journal
Computational and Applied Mathematics
ISSN
2238-3603
1807-0302
Open Access
closed
Volume
43
We consider a coupled hybrid system whose main application is the problem of the active control of noise. The model describes the interaction of acoustic vibrations in the interior of a given two-dimensional cavity with the mechanical vibrations of two damped strings located in a part of the boundary of the cavity, in which suitable feedbacks are acting. Our main result is that the total energy associated to this model decays exponentially as time goes to infinity.