Uniform stability in structural acoustic systems with thermal effects and nonlinear boundary damping

Citation
I. Lasiecka et C. Lebiedzik, Uniform stability in structural acoustic systems with thermal effects and nonlinear boundary damping, CONTROL CYB, 28(3), 1999, pp. 557-581
Citations number
32
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
CONTROL AND CYBERNETICS
ISSN journal
03248569 → ACNP
Volume
28
Issue
3
Year of publication
1999
Pages
557 - 581
Database
ISI
SICI code
0324-8569(1999)28:3<557:USISAS>2.0.ZU;2-C
Abstract
The stabilization problem for a structural acoustic model is considered. Th e model under consideration is that of acoustic cavity (wave equation) coup led at the interface with a flexible wall (plate equation) which accounts f or thermal effects. It is shown that frictional, nonlinear damping applied at the boundary of the acoustic chamber provides the uniform decay rates fo r the energy function of the overall structure. The main novelty of this re sult, with respect to the literature, is that the uniform stability for the model is established without assuming ally mechanical damping the wall.