DocumentCode
234501
Title
Exact boundary controllability for the wave equation with time-dependent and variable coefficients
Author
Liu Yuxiang ; Yao Pengfei
Author_Institution
Key Lab. of Syst. & Control, Acad. of Math. & Syst. Sci., Beijing, China
fYear
2014
fDate
28-30 July 2014
Firstpage
2695
Lastpage
2700
Abstract
This paper deals with boundary exact controllability for the dynamics governed by the wave equation with nonconstant coefficients in the principal part, subject to Neumann boundary controls with time-dependent and variable coefficients. The observability inequalities are established by the Riemannian geometry method under some geometric condition for the Neumann problem. The result is obtained by the multiplier method and compactness-uniqueness argument.
Keywords
controllability; geometry; wave equations; Neumann boundary control; Riemannian geometry method; compactness-uniqueness argument; exact boundary controllability; nonconstant coefficients; observability inequalities; time-dependent coefficient; variable coefficient; wave equation; Controllability; Geometry; Manifolds; Measurement; Observability; Propagation; Vectors; Riemannian manifold; exact controllability; geometric optics; wave equation with variable coefficients;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (CCC), 2014 33rd Chinese
Conference_Location
Nanjing
Type
conf
DOI
10.1109/ChiCC.2014.6897062
Filename
6897062
Link To Document