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

13 Dec 2018 Hassine Fathi

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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  • SYSTEMS AND CONTROL
  • OPTIMIZATION AND CONTROL