Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach
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 eq
- PDF / 14,032,339 Bytes
- 181 Pages / 417.6 x 663.12 pts Page_size
- 98 Downloads / 335 Views
1770
Springer Berlin Heidelberg New York Barcelona Hong Kong London Milan Paris Singapore Tokyo
Heide
Gluesing-Luerssen,
Linear
Delay- Differential
Systems with
Delays: An Algebraic Approach Commensurate
4
11,11 4%
Springer
Author Heide
Gluesing-Luerssen
Department of Mathematics University of Oldenburg 26111 Oldenburg, Germany e-mail:
[email protected]
Cataloging-in-Publication Data available Die Deutsche Bibliothek
-
CIP-Einheitsaufnahme
Gltising-Ltierssen, Heide: delay differential systernswith commensurate'delays : an algebraic approach / Heide Gluesing-Lueerssen. Berlin; Heidelberg; New York; Barcelona ; Hong Kong ; London ; Milan ; Paris ; Tokyo : Springer, 2002 (Lecture notes in mathematics ; 1770) Linear
-
ISBN 3-540-42821-6
Mathematics
Subject Classification (2000): 93CO5, 93B25, 93C23, 13B99, 39B72
ISSN 0075-8434 ISBN 3-540-42821-6
Springer-Verlag Berlin Heidelberg New York
subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are
This work is
liable for prosecution under the German
Springer-Verlag
Berlin
Heidelberg
Copyright'Law.
New York
a
member of BertelsmannSpringer
Science + Business Media GmbH
http://www.springer.de @
Springer-Verlag Berlin Heidelberg 2002
Printed in
Germany
registered names, trademarks, etc. in this publication does not imply, specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.
The
use
even
of general descriptive names,
in the absence of
a
Typesetting: Camera-ready TEX output by the author SPIN:10856623
41/3143/LK
-
543210
-
Printed
on
acid-free paper
Preface
delay-differential equation was coined to comprise all types of differequations in which the unknown function and its derivatives occur with
The term ential
various values of the argument. In these notes we concentrate on (implicit) linear delay-differential equations with constant coefficients and commensurate
point delays. We present
an
investigation of dynamical delay-differential
sys-
tems with respect to their general system-theoretic properties. To this end, an algebraic setting for the equations under consideration is developed. A thorough
purely algebraic study shows that this setting is well-suited for an examination of delay-differential systems from the behavioral point of view in modern systems theory. The central object is a suitably defined operator algebra which turns out to be an elementary divisor domain and thus provides the main tool for handling matrix equations of delay-differential
Data Loading...
