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Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation

Abstract : This paper is devoted to a simple and new proof on the optimal finite control time for general linear coupled hyperbolic system by using boundary feedback on one side. The feedback control law is designed by first using a Volterra transformation of the second kind and then using an invertible Fredholm transformation. Both existence and invertibility of the transformations are easily obtained.
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https://hal.archives-ouvertes.fr/hal-01437107
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Submitted on : Tuesday, January 17, 2017 - 9:25:54 AM
Last modification on : Monday, December 14, 2020 - 5:38:23 PM
Long-term archiving on: : Tuesday, April 18, 2017 - 12:36:15 PM

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Jean-Michel Coron, Long Hu, Guillaume Olive. Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation. Automatica, Elsevier, 2017, 84, ⟨10.1016/j.automatica.2017.05.013⟩. ⟨hal-01437107⟩

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