Title
Exact controllability of structural acoustic interactions
Abstract
In this paper, we work to discern exact controllability properties of two coupled wave equations, one of which holds on the interior of a bounded open domain , and the other on a segment 0 of the boundary \partial . Moreover, the coupling is accomplished through terms on the boundary. Because of the particular physical application involved-the attenuation of acoustic waves within a chamber by means of active controllers on the chamber walls--control is to be implemented on the boundary only. We give here concise results of exact controllability for this system of interactions, with the control functions being applied through \partial . In particular, it is seen that for special geometries, control may be exerted on the boundary segment 0 only. We make use here of microlocal estimates derived for the Neumann-control of wave equations, as well as a special vector field which is now known to exist under certain geometrical situations.
Related to
Institute for Mathematics and Its Applications>IMA Preprints Series
Suggested Citation
Avalos, George; Lasiecka, Irena.
(2001).
Exact controllability of structural acoustic interactions.
Retrieved from the University of Minnesota Digital Conservancy,
https://hdl.handle.net/11299/3612.