Rapid exponential stabilization of a 1-D transmission wave equation with in-domain anti-damping
classification
💻 cs.SY
cs.SYmath.OC
keywords
anti-dampingequationexponentialstabilizationwavebacksteppingclosed-loopconsider
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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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