Boundary controllability of structural acoustic systems with variable coefficients and curved walls Academic Article

abstract

• 2018, Springer-Verlag London Ltd., part of Springer Nature. This paper studies a structural acoustic model consisting of an interior acoustic wave equation with variable coefficients and a coupled Kirchhoff plate equation with a curved middle surface. By the Riemannian geometry approach and the multiplier technique, we establish exact controllability of the hybrid system under verifiable assumptions on the geometry of the interior domain and the interface boundary with two controls: One is a Neumann boundary control exerted on the wave equation, and the other acts on the interior of the plate equation. Furthermore, if the control for the plate equation is active alone, we prove that the hybrid system with partial Robin boundary condition of the wave equation is exactly controllable with the plate component and approximately controllable with the wave component.

authors

• Chen, Goong

published proceedings

• MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS

author list (cited authors)

• Yang, F., Yao, P., & Chen, G.

citation count

• 3

complete list of authors

• Yang, Fengyan||Yao, Pengfei||Chen, Goong

publication date

• March 2018

publisher

• Springer Nature  Publisher

published in

• Mathematics of Control, Signals, and Systems  Journal

keywords

• Boundary Controllability
• Curved Walls
• Multiplier Method
• Riemannian Geometry
• Structural Acoustics Model
• Variable Coefficients

Digital Object Identifier (DOI)

• 10.1007/s00498-018-0211-7

start page

• 5

volume

• 30

issue

• 1

URL

• http://dx.doi.org/10.1007/s00498-018-0211-7