Operators, Systems and Linear Algebra Three Decades of Algebraic Sys

This book is a compilation of the results of an international workshop on Operators, Systems and Linear Algebra. It contains contributions of several outstanding researchers in the area of mathematical systems theory and its applications, covering recent

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European Consortium for Mathematics in Industry Edited by Leif Arkeryd, Göteborg Heinz Engl, Linz Antonio Fasano, Firenze Robert M. M. Mattheij, Eindhoven Pekka Neittaanmäki, Jyväskylä Helmut Neunzert, Kaiserslautern

Within Europe a number of academic groups have accepted their responsibility towards European industry and have proposed to found a European Consortium for Mathematics in Industry (ECMI) as an expression of this responsibility. One of the activities of ECMI is the publication of books, which reflect its general philosophy; the texts of the series will help in promoting the use of mathematics in industry and in educating mathematicians for industry. They will consider different fields of applications, present casestudies, introduce new mathematica\ concepts in their relation to practical applications. They shall also represent the variety of the European mathematical traditions, for example practical asymptotics and differential equations in Britian, sophisticated numerical analysis from France, powerful computation in Germany, novel discrete mathematics in Holland, elegant real analysis from ltaly. They will demoostrate that all these branches of mathematics are applicable to real problems, and industry and universities in any country can clearly benefit from the skills of the complete range of European applied mathematics.

Operators, Systems, and Linear Algebra Three Decades of Algebraic Systems Theory Edited by

Uwe Helmke, Universität Würzburg Dieter Prätzel-Wolters and Eva Zerz, Universität Kaiserslautern

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Springer Fachmedien Wiesbaden GmbH 1997

Die Deutsche Bibliothek - CIP-Einheitsaufnahme Operators, systems and linear algebra : three decades of algebraic systems theory 1 ed. by Uwe Helmke ... (European Consortium for Mathematics in Industry). ISBN 978-3-663-09824-9 ISBN 978-3-663-09823-2 (eBook) DOI 10.1007/978-3-663-09823-2

© Copyright 1997 by Springer Fachmedien Wiesbaden Originally published by B. G. Teubner Stuttgart in 1997

Ali rights reserved No part of this book may be reproduced by any means, or transmitted, or translated into a machine language without the written permission of the publisher. Cover design by Peter Pfitz, Stuttgart.

Dedicated to Paul A. Fuhrmann on the occasion of his 60th birthday

Preface This book contains the plenary lectures presented at the Workshop 'Operators, Systems and Linear Algebra: Three Decades of Algebraic Systems Theory,' held in Kaiserslautern, Germany, September 24-26, 1997. It is a Festschrift honoring the impact of the work of Paul Fuhrmann in operator and control theory. The book includes essays written by prominent scientists to present their views on some of the most recent developments in the area of mathematical systems theory and its applications. The papers cover a wide range of theoretical and applied topics, with emphasis on computational aspects and relations to engineering problems. The impact of Paul Fuhrmann's work can be traced through many parts of the volume. Polynomial models and shift realizations, the algebraic structu