DocumentCode
2428614
Title
Hyperbolic equations in joined domains with boundary energy dissipation
Author
Sarhangi, G.R. ; Wang, H. ; Sawan, M.
Author_Institution
Wichita State Univ., KS, USA
Volume
3
fYear
1994
fDate
29 June-1 July 1994
Firstpage
2643
Abstract
This work deals with the asymptotic behavior of solutions of two hyperbolic equations coupled in series where the energy-absorbing boundaries are presented. It is shown that under some geometrical conditions with respect to a vector field h(x) in the joined surface of the two bounded domains in the space of Rn, the energy of the system will decay uniformly exponentially. Some numerical results for different design of boundary controllers of rectangular domains are presented.
Keywords
boundary-value problems; distributed parameter systems; hyperbolic equations; asymptotic behavior; boundary controllers; boundary energy dissipation; coupled hyperbolic equations; geometrical conditions; joined domains; rectangular domains; uniformly exponential energy decay; Biomembranes; Boundary conditions; Energy dissipation; Hilbert space; Mathematics; Partial differential equations; Stability;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 1994
Print_ISBN
0-7803-1783-1
Type
conf
DOI
10.1109/ACC.1994.735038
Filename
735038
Link To Document