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.
Domains
Computer Science [cs]Origin | Files produced by the author(s) |
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