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Stabilization of Elastic Systems by Collocated Feedback

  • Book
  • © 2015

Overview

Authors:
  1. Kaïs Ammari

    1. Dept of Mathematics, Faculty of Sciences, University of Monastir, Monastir, Tunisia

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  2. Serge Nicaise

    1. Lab. de Mathématiques et de leurs applications de Valenciennes (LAMAV), Univ. de Valenciennes et du Hainaut Cambrésis, Valenciennes, France

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  • Describes a general methodology for stabilization problems
  • Gives an introduction to systems with delay
  • Two chapters are devoted to the study of numerous concrete examples

Part of the book series: Lecture Notes in Mathematics (LNM, volume 2124)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xi
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  2. Some Backgrounds

    • Kaïs Ammari, Serge Nicaise
    Pages 1-35

  3. Stabilization of Second Order Evolution Equations by a Class of Unbounded Feedbacks

    • Kaïs Ammari, Serge Nicaise
    Pages 37-60

  4. Stabilization of Second Order Evolution Equations with Unbounded Feedback with Delay

    • Kaïs Ammari, Serge Nicaise
    Pages 61-71

  5. Asymptotic Behaviour of Concrete Dissipative Systems

    • Kaïs Ammari, Serge Nicaise
    Pages 73-146

  6. Systems with Delay

    • Kaïs Ammari, Serge Nicaise
    Pages 147-168

  7. Back Matter

    Pages 169-180
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Keywords

About this book

By introducing a new stabilization methodology, this book characterizes the stability of a certain class of systems. The stability (exponential, polynomial, or weaker) for the closed loop problem is reduced to an observability estimate for the corresponding uncontrolled system combined with a boundedness property of the transfer function of the associated open loop system. A similar strategy is applied to systems where a delay term is added. The book concludes with many concrete examples. This book is addressed to graduate students in mathematics or engineering and also to researchers with an interest in stabilization and control systems governed by partial differential equations.

Authors and Affiliations

  • Dept of Mathematics, Faculty of Sciences, University of Monastir, Monastir, Tunisia

    Kaïs Ammari

  • Lab. de Mathématiques et de leurs applications de Valenciennes (LAMAV), Univ. de Valenciennes et du Hainaut Cambrésis, Valenciennes, France

    Serge Nicaise

Bibliographic Information

  • Book Title: Stabilization of Elastic Systems by Collocated Feedback

  • Authors: Kaïs Ammari, Serge Nicaise

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-10900-8

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Softcover ISBN: 978-3-319-10899-5Published: 13 November 2014

  • eBook ISBN: 978-3-319-10900-8Published: 03 November 2014

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XI, 178

  • Number of Illustrations: 1 b/w illustrations, 2 illustrations in colour

  • Topics: Partial Differential Equations, Systems Theory, Control

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