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Pré-Publication, Document De Travail Année : 2016

Two sided boundary stabilization of heterodirectional linear coupled hyperbolic PDEs

Jean Auriol
Florent Di Meglio

Résumé

We solve the problem of stabilizing a general class of linear first-order hyperbolic systems using actuation at both boundary of the spatial domain. We design a novel Fredholm transformation similarly to backstepping approaches to derive a full-state feedback law and a boundary observer enabling stabilization by output feedback. This yields an explicit fullstate feedback law that achieves the theoretical lower bound for convergence to zero
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Dates et versions

hal-01318708 , version 1 (19-05-2016)
hal-01318708 , version 2 (04-08-2016)
hal-01318708 , version 3 (28-11-2016)

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  • HAL Id : hal-01318708 , version 1

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Jean Auriol, Florent Di Meglio. Two sided boundary stabilization of heterodirectional linear coupled hyperbolic PDEs. 2016. ⟨hal-01318708v1⟩
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