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Finite-Time backstepping boundary stabilization of 3 × 3 hyperbolic systems

Abstract : We consider the problem of boundary stabilization of 3 × 3 linear first-order hyperbolic systems with one positive and two negative transport speeds by using backstepping. The main result of the paper is to supplement the previous works on how to choose multi-boundary feedback inputs applied on the states corresponding to the negative velocities to obtain finite-time stabilization of the original system in the spatial L2 sense. Our method is still valid for boundary stabilization of general n × n hyperbolic system with arbitrary numbers of states traveling in either directions.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-01499928
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Submitted on : Saturday, April 1, 2017 - 4:36:53 PM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM

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  • HAL Id : hal-01499928, version 1

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Long Hu, Florent Di Meglio. Finite-Time backstepping boundary stabilization of 3 × 3 hyperbolic systems. 2015 European Control Conference (ECC 2015), Jul 2015, Linz, Austria. pp.67 - 72. ⟨hal-01499928⟩

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