Title :
The study of the stabilizability of the coupled wave equations under various end conditions
Author :
Najafi, M. ; Sarhangi, G.R. ; Wang, H.
Author_Institution :
Dept. of Math. & Stat., Wichita State Univ., KS, USA
Abstract :
The stabilizability of coupled wave equations (suspension system) is investigated for free, and energy dissipation boundary conditions. Huang and Rouche´s theorem is utilized, and the rate of convergence of the solution of such a system for certain boundary conditions is studied. Numerical experiments were carried out to justify the theoretical results
Keywords :
boundary-value problems; controllability; stability; wave equations; Huang-Rouche theorem; asymptotic behaviour; coupled wave equations; eigenvalues; energy dissipation boundary conditions; free boundary conditions; rate of convergence; stabilizability; suspension system; well-posedness; Boundary conditions; Boundary value problems; Damping; Eigenvalues and eigenfunctions; Energy dissipation; Equations; Erbium; Hilbert space; Image resolution; Partial differential equations; Springs;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371711
