[LNCIS 008] Infinite Dimensional Linear Systems Theory [Lecture Notes in Control and Information Sciences] (Springer 1978).pdf

Lecture Notes in
Control and
Information Sciences
Edited by . Balakrishnan and
8
Ruth F. Curtain
Anthony J. Pritchard
Infinite Dimensional
Linear Systems Theory
Springer-Verlag
Berlin Heidelberg New York 1978
Series Editors
A. V. Balakrishnan • M. Thoma
Advisory Board
A. G..1. MacFarlane • H. Kwakernaak • Ya. Z. Tsypkin
Authors
Dr. Ruth F. Curtain
Control Theory Centre,
University of Warwick
presently at:
Rijksuniversiteit te Groningen
Mathematisch Instituut
herlands
Dr. Anthony .I. Pritchard
Director, Control Theory Centre
University of Warwick
Coventry CV4 ?AL
United Kingdom
ISBN 3-540-08961-6 Springer-Verlag Berlin Heidelberg New York
ISBN 0-387-08961-6 Springer-Verlag NewYork Heidelberg Berlin
This work is subject to copyright. All rights are reserved, whether the whole
or part of the material is concerned, specifically those of translation, re-
printing, re-use of illustrations, broadcasting, reproduction by photocopying
machine or similar means, and storage in data banks.
Under § 54 of the German Copyright Law where copies are made for other
than private use, a fee is payable to the publisher, the amount of the fee to
be determined by agreement with the publisher.
© by Springer-Verlag Berlin Heidelberg 1978
Printed in Germany
Printing and binding: Reltz Offsetdruck, Hemsbach/Rergstr.
206113020-543210
PREFACE
Over the past five years the major research effort of the Control
Theory Centre at the University of Warwick has been in the area of
infinite dimensional system theory. The philosophy underlying the re-
search has been to develop a mathematical framework which enables the
generalisation of the finite dimensional results to infinite dimensions
and which includes both distributed parameter systems and differential
delay systems as special cases. So following the lead of Fattorinl in
[6], we describe the system dynamics in terms of a strongly continuous