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Boundary Control of 1-D Hyperbolic Systems

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Encyclopedia of Systems and Control

Abstract

One-dimensional hyperbolic systems are commonly used to describe the evolution of various physical systems. For many of these systems, controls are available on the boundary. There are then two natural questions: controllability (steer the system from a given state to a desired target) and stabilization (construct feedback laws leading to a good behavior of the closed-loop system around a given set point).

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Correspondence to Georges Bastin .

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Bastin, G., Coron, JM. (2020). Boundary Control of 1-D Hyperbolic Systems. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_11-2

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_11-2

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-5102-9

  • Online ISBN: 978-1-4471-5102-9

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

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Chapter history

  1. Latest

    Boundary Control of 1-D Hyperbolic Systems
    Published:
    21 November 2019

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_11-2

  2. Original

    Boundary Control of 1-D Hyperbolic Systems
    Published:
    17 February 2014

    DOI: https://doi.org/10.1007/978-1-4471-5102-9_11-1