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Dynamic Boundary Stabilization of First Order Hyperbolic Systems

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Recent Results on Time-Delay Systems

Part of the book series: Advances in Delays and Dynamics ((ADVSDD,volume 5))

Abstract

In this chapter, we address the problem of the dynamic boundary stabilization of linear, quasilinear and LPV first-order hyperbolic systems. We provide sufficient conditions for the exponential stability for this class of infinite dimensional systems by means of Lyapunov based techniques and matrix inequalities. We develop an applicative example of a temperature boundary control in a Poiseuille flow using some of our main results and we present simulation results that illustrate the efficiency of our approach.

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Authors and Affiliations

  1. GIPSA-lab, University Grenoble Alpes - CNRS, 38000, Grenoble, France

    Felipe Castillo, Emmanuel Witrant, Christophe Prieur & Luc Dugard

Authors
  1. Felipe Castillo
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  2. Emmanuel Witrant
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  3. Christophe Prieur
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  4. Luc Dugard
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Corresponding author

Correspondence to Felipe Castillo .

Editor information

Editors and Affiliations

  1. GIPSA-lab, University Grenoble Alpes - CNRS, Saint Martin d’Hères – Cedex, France

    Emmanuel Witrant

  2. School of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel

    Emilia Fridman

  3. GIPSA-lab, University Grenoble Alpes - CNRS, Saint Martin d'Heres Cedex, France

    Olivier Sename

  4. GIPSA-lab, University Grenoble Alpes - CNRS, Grenoble, France

    Luc Dugard

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Castillo, F., Witrant, E., Prieur, C., Dugard, L. (2016). Dynamic Boundary Stabilization of First Order Hyperbolic Systems. In: Witrant, E., Fridman, E., Sename, O., Dugard, L. (eds) Recent Results on Time-Delay Systems. Advances in Delays and Dynamics, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-26369-4_9

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  • DOI: https://doi.org/10.1007/978-3-319-26369-4_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26367-0

  • Online ISBN: 978-3-319-26369-4

  • eBook Packages: EngineeringEngineering (R0)

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