© 2015

Stabilization of Elastic Systems by Collocated Feedback


  • 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 Lecture Notes in Mathematics book series (LNM, volume 2124)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Kaïs Ammari, Serge Nicaise
    Pages 1-35
  3. Kaïs Ammari, Serge Nicaise
    Pages 73-146
  4. Kaïs Ammari, Serge Nicaise
    Pages 147-168
  5. Back Matter
    Pages 169-180

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.


93D15,93B07,93B05,93B52,93C15,93C20,35L05,35L57,35Q74,35M33. Collocated feedbacks Elastic systems Observability PDE Stability

Authors and affiliations

  1. 1.Dept of Mathematics, Faculty of SciencesUniversity of MonastirMonastirTunisia
  2. 2.Lab. de Mathématiques et de leurs applications de Valenciennes (LAMAV)Univ. de Valenciennes et du Hainaut CambrésisValenciennesFrance

Bibliographic information

  • Book Title Stabilization of Elastic Systems by Collocated Feedback
  • Authors Kaïs Ammari
    Serge Nicaise
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lect.Notes Mathematics
  • DOI
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Softcover ISBN 978-3-319-10899-5
  • eBook ISBN 978-3-319-10900-8
  • 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
  • Buy this book on publisher's site
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