Exponential Stability of Compactly Coupled Wave Equations with Delay Terms in the Boundary Feedbacks - IFIP AICT 443: System Modeling and Optimization
Conference Papers Year : 2014

Exponential Stability of Compactly Coupled Wave Equations with Delay Terms in the Boundary Feedbacks

Abstract

We consider a linear system of compactly coupled wave equations with Neumann feedback controllers that contain delay terms. First, we prove under some assumptions that the closed-loop system generates a $$C_{0}-$$semigroup of contractions on an appropriate Hilbert space. Then, under further assumptions, we show that the closed-loop system is exponentially stable. This result is obtained by introducing a suitable energy function and by using an observability estimate.
Fichier principal
Vignette du fichier
978-3-662-45504-3_27_Chapter.pdf (4 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-01286436 , version 1 (10-03-2016)

Licence

Identifiers

Cite

Salah-Eddine Rebiai, Fatima Zohra Sidi Ali. Exponential Stability of Compactly Coupled Wave Equations with Delay Terms in the Boundary Feedbacks. 26th Conference on System Modeling and Optimization (CSMO), Sep 2013, Klagenfurt, Austria. pp.278-284, ⟨10.1007/978-3-662-45504-3_27⟩. ⟨hal-01286436⟩
83 View
147 Download

Altmetric

Share

More