EXACT CONTROLLABILITY OF STRUCTURAL ACOUSTIC INTERACTIONS WITH VARIABLE COEFFICIENTS Academic Article

abstract

• 2016 Society for Industrial and Applied Mathematics. This paper studies exact controllability prope rties of two coupled wave equations with variable coefficients by a Riemannian geometrical approach. One of the PDEs holds on the interior of a bounded open domain in m and the other on a piece 0 of the boundary . First, an exact controllability result is established by assuming the existence of an escape vector field with two boundary controls, the first of which is a Neumann control and the second a distributed control for the boundary equation. Moreover, a geometric structure between the boundary and the variable coefficient principal part is considered in order to implement one control on the boundary segment 0 only. Concrete examples are given for such geometrical configurations.

authors

• Chen, Goong

published proceedings

• SIAM JOURNAL ON CONTROL AND OPTIMIZATION

author list (cited authors)

• Liu, Y., Bin-Mohsin, B., Hajaiej, H., Yao, P., & Chen, G.

citation count

• 12

complete list of authors

• Liu, Yuxiang||Bin-Mohsin, Bandar||Hajaiej, Hichem||Yao, Peng-Fei||Chen, Goong

publication date

• January 2016

publisher

• Society for Industrial & Applied Mathematics (SIAM)  Publisher

published in

• SIAM Journal on Control and Optimization  Journal

keywords

• Coupled Wave Equations
• Exact Controllability
• Observability Inequality
• Riemannian Metric
• Variable Coefficients

Digital Object Identifier (DOI)

• 10.1137/15M1039936

start page

• 2132

end page

• 2153

volume

• 54

issue

• 4

URL

• http%3A%2F%2Fdx.doi.org%2F10.1137%2F15m1039936