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.
https://hal-mines-paristech.archives-ouvertes.fr/hal-01286860
Contributeur : Jean Auriol
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Soumis le : lundi 14 mars 2016 - 14:45:16
Dernière modification le : lundi 12 novembre 2018 - 11:02:32
Document(s) archivé(s) le : dimanche 13 novembre 2016 - 15:37:48
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⟩
