Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation - Archive ouverte HAL Access content directly
Journal Articles Automatica Year : 2017

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

Long Hu
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  • PersonId : 998457
Guillaume Olive
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  • PersonId : 998458

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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Dates and versions

hal-01437107 , version 1 (17-01-2017)

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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, 2017, 84, ⟨10.1016/j.automatica.2017.05.013⟩. ⟨hal-01437107⟩
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