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Two sided boundary stabilization of two linear hyperbolic PDEs in minimum time

Abstract : — We solve the problem of stabilizing two coupled linear hyperbolic PDEs using actuation at both boundary of the spatial domain in minimum time. We design a novel Fredholm transformation similarly to backstepping approaches. This yields an explicit full-state feedback law that achieves the theoretical lower bound for convergence time to zero.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01286860
Contributor : Jean Auriol <>
Submitted on : Monday, March 14, 2016 - 2:45:16 PM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM
Long-term archiving on: : Sunday, November 13, 2016 - 3:37:48 PM

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  • HAL Id : hal-01286860, version 1

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Jean Auriol, Florent Di Meglio. Two sided boundary stabilization of two linear hyperbolic PDEs in minimum time. Decision and Control (CDC), 2016 IEEE 55th Conference, Dec 2016, Las Vegas, United States. ⟨hal-01286860⟩

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