Exponential decay domain of energy for wave equation under feedback control

1999 ◽  
Vol 15 (3) ◽  
pp. 249-256
Author(s):  
Zhang Weitao ◽  
Feng Dexing
Keyword(s):  
Wave Equation ◽  
Feedback Control ◽  
Exponential Decay

scholarly journals Exponential decay rate for a wave equation with Dirichlet boundary control

2007 ◽  
Vol 20 (8) ◽  
pp. 861-865 ◽  
Author(s):  
Chuanxian Deng ◽  
Yan Liu ◽  
Weisheng Jiang ◽  
Falun Huang
Keyword(s):  
Wave Equation ◽  
Decay Rate ◽  
Boundary Control ◽  
Exponential Decay ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Control ◽  
Exponential Decay Rate

scholarly journals The exponential stability of a coupled hyperbolic/parabolic system arising in structural acoustics

1996 ◽  
Vol 1 (2) ◽  
pp. 203-217 ◽  
Author(s):  
George Avalos
Keyword(s):  
Wave Equation ◽  
Feedback Control ◽  
Exponential Stability ◽  
Parabolic System ◽  
Hyperbolic Equations ◽  
Coupled System ◽  
Beam Equation ◽  
Structural Acoustics ◽  
Uniform Stabilization ◽  
Structure Interaction

We show here the uniform stabilization of a coupled system of hyperbolic and parabolic PDE's which describes a particular fluid/structure interaction system. This system has the wave equation, which is satisfied on the interior of a bounded domainΩ, coupled to a “parabolic–like” beam equation holding on∂Ω, and wherein the coupling is accomplished through velocity terms on the boundary. Our result is an analog of a recent result by Lasiecka and Triggiani which shows the exponential stability of the wave equation via Neumann feedback control, and like that work, depends upon a trace regularity estimate for solutions of hyperbolic equations.

scholarly journals EXPONENTIAL DECAY FOR A NEUTRAL WAVE EQUATION

2017 ◽  
Vol 7 (4) ◽  
pp. 1267-1274
Author(s):  
Nasser-eddine Tatar ◽  
Keyword(s):  
Wave Equation ◽  
Exponential Decay
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