Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach

  • Authors
  • Heide¬†Gluesing-Luerssen

Part of the Lecture Notes in Mathematics book series (LNM, volume 1770)

Table of contents

  1. Front Matter
    Pages N2-VII
  2. Heide Gluesing-Luerssen
    Pages 1-5
  3. Heide Gluesing-Luerssen
    Pages 23-72
  4. Heide Gluesing-Luerssen
    Pages 73-134
  5. Heide Gluesing-Luerssen
    Pages 135-167
  6. Heide Gluesing-Luerssen
    Pages 169-174
  7. Heide Gluesing-Luerssen
    Pages 175-176
  8. Back Matter
    Pages 177-177

About this book


The book deals with linear time-invariant delay-differential equations with commensurated point delays in a control-theoretic context. The aim is to show that with a suitable algebraic setting a behavioral theory for dynamical systems described by such equations can be developed. The central object is an operator algebra which turns out to be an elementary divisor domain and thus provides the main tool for investigating the corresponding matrix equations. The book also reports the results obtained so far for delay-differential systems with noncommensurate delays. Moreover, whenever possible it points out similarities and differences to the behavioral theory of multidimensional systems, which is based on a great deal of algebraic structure itself. The presentation is introductory and self-contained. It should also be accessible to readers with no background in delay-differential equations or behavioral systems theory. The text should interest researchers and graduate students.


Algebraic structure Delay-differential equations Lattice algebra behavioural approach elementary divisor domain systems and control theory

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-42821-3
  • Online ISBN 978-3-540-45543-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site