Study of stabilization of coupled hyperbolic equations in series by viscous damping

Study of stabilization of coupled hyperbolic equations in series by viscous damping

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/sup n/, the energy of the system will decay uniformly exponentially. Withdrawing the damping device...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Sarhangi, G.R., Wang, H., Sawan, M.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Biomembranes
Control systems
Damping
Educational institutions
Mathematical model
Mathematics
Partial differential equations
Stability
Statistics
Velocity control
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Beschreibung
Zusammenfassung: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/sup 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.< >
DOI:10.1109/CDC.1994.411159