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SCL
2010
86views more  SCL 2010»
13 years 3 months ago
Feedback boundary stabilization of wave equations with interior delay
Abstract. In this paper we consider a boundary stabilization problem for the wave equation with interior delay. We prove an exponential stability result under some Lions geometric ...
Kais Ammari, Serge Nicaise, Cristina Pignotti
SIAMCO
2010
110views more  SIAMCO 2010»
12 years 11 months ago
Stabilization of Second Order Evolution Equations with Unbounded Feedback with Time-Dependent Delay
der abstract second order evolution equations with unbounded feedback with time-varying delay. Existence results are obtained under some realistic assumptions. We prove the expone...
Emilia Fridman, Serge Nicaise, Julie Valein
AUTOMATICA
2008
97views more  AUTOMATICA 2008»
13 years 4 months ago
Output-feedback stabilization of an unstable wave equation
We consider the problem of stabilization of a one-dimensional wave equation that contains instability at its free end and control on the opposite end. In contrast to classical col...
Miroslav Krstic, Bao-Zhu Guo, András Balogh...
NHM
2010
101views more  NHM 2010»
12 years 11 months ago
Stars of vibrating strings: Switching boundary feedback stabilization
We consider a star-shaped network consisting of a single node with N 3 connected arcs. The dynamics on each arc is governed by the wave equation. The arcs are coupled at the node ...
Martin Gugat, Mario Sigalotti