Title :
Study of stabilization of coupled hyperbolic equations in series by viscous damping
Author :
Sarhangi, G.R. ; Wang, H. ; Sawan, M.
Author_Institution :
Southwestern Coll., Winfield, KS, USA
Abstract :
Two bounded domains are joined at an interface such that the wave traveling from one of them can be transmitted to the other. It is shown that with the presence of viscous damping in each domain in R n, the energy of the system will decay uniformly exponentially. Withdrawing the damping device from either domain results in strong stability of the system in general
Keywords :
asymptotic stability; damping; distributed parameter systems; equations; hyperbolic equations; wave equations; bounded domains; coupled hyperbolic equations; stabilization; uniformly exponential decay; viscous damping; Biomembranes; Control systems; Damping; Educational institutions; Mathematical model; Mathematics; Partial differential equations; Stability; Statistics; Velocity control;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411159