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
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;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6897062
