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

Authors: Jean Auriol , Florent Di Meglio, 2016 IEEE 55th Conference on Decision and Control (CDC 2016), pp. 3118 - 3124, December 12-14, 2016, Las Vegas. DOI: 10.1109/CDC.2016.7798736
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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BibTeX
@Proceedings{2017-04-01,
author = {Jean Auriol, Florent Di Meglio},
editor = {},
title = {Two-sided boundary stabilization of two linear hyperbolic PDEs in minimum time},
booktitle = {2016 IEEE 55th Conference on Decision and Control (CDC 2016)},
volume = {},
publisher = {},
address = {Las Vegas},
pages = {3118 - 3124},
year = {2016},
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.},
keywords = {}}
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