Time-Delay Systems Lyapunov Functionals and Matrices
Stability is one of the most studied issues in the theory of time-delay systems, but the corresponding chapters of published volumes on time-delay systems do not include a comprehensive study of a counterpart of classical Lyapunov theory for lin
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Editorial Advisory Board Okko Bosgra Delft University The Netherlands Graham Goodwin University of Newcastle Australia Iori Hashimoto Kyoto University Japan Petar Kokotovi´c University of California Santa Barbara, CA USA
For further volumes: http://www.springer.com/series/4988
Manfred Morari ETH Z¨urich Switzerland William Powers Ford Motor Company (retired) Detroit, MI USA Mark Spong University of Illinois Urbana-Champaign USA
Vladimir L. Kharitonov
Time-Delay Systems Lyapunov Functionals and Matrices
Vladimir L. Kharitonov Faculty of Applied Mathematics and Processes of Control Saint Petersburg State University Saint Petersburg, Russia
ISBN 978-0-8176-8366-5 ISBN 978-0-8176-8367-2 (eBook) DOI 10.1007/978-0-8176-8367-2 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2012945944 Mathematics Subject Classification (2010): 34K06, 34K20, 93D05 © Springer Science+Business Media, LLC 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.birkhauser-science.com)
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Preface
Although stability is one of the most studied topics in the theory of time-delay systems, the corresponding chapters of classic works on time-delay systems (see, e.g., [3,23,44]) do not include a comprehensive study of a counte
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