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arXiv · 1812.11035

Rapid exponential stabilization of a 1-D transmission wave equation with in-domain anti-damping

Fathi Hassine
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Abstract

We consider the problem of pointwise stabilization of a one-dimensional wave equation with an internal spatially varying anti-damping term. We design a feedback law based on the backstepping method and prove exponential stability of the closed-loop system with a desired decay rate.

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Fathi Hassine. 2018-12-13. Rapid exponential stabilization of a 1-D transmission wave equation with in-domain anti-damping. https://doi.org/10.1002/asjc.1509

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