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Two sided boundary stabilization of heterodirectional linear coupled hyperbolic PDEs

Abstract : We solve the problem of stabilizing a general class of linear first-order hyperbolic systems using actuation at both boundaries of the spatial domain. We design a novel Fredholm transformation similarly to backstepping approaches to derive a boundary controller and a boundary observer enabling stabilization by output feedback. This yields an explicit full-state feedback law that achieves the theoretical lower bound for convergence to zero.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01318708
Contributor : Jean Auriol <>
Submitted on : Monday, November 28, 2016 - 3:02:53 PM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM

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Jean Auriol, Florent Di Meglio. Two sided boundary stabilization of heterodirectional linear coupled hyperbolic PDEs. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, In press, ⟨10.1109/TAC.2017.2763320⟩. ⟨hal-01318708v3⟩

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