L2-Gain and Passivity Techniques in Nonlinear Control
This standard text gives a unified treatment of passivity and L2-gain theory for nonlinear state space systems, preceded by a compact treatment of classical passivity and small-gain theorems for nonlinear input-output maps. The synthesis between passivity
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Arjan van der Schaft
L2-Gain and Passivity Techniques in Nonlinear Control Third Edition
Communications and Control Engineering Series editors Alberto Isidori, Roma, Italy Jan H. van Schuppen, Centre for Mathematics and Computer Science, Amsterdam, The Netherlands Eduardo D. Sontag, Piscataway, NY, USA Miroslav Krstic, La Jolla, CA, USA
Communications and Control Engineering is a high-level academic monograph series publishing research in control and systems theory, control engineering and communications. It has worldwide distribution to engineers, researchers, educators (several of the titles in this series find use as advanced textbooks although that is not their primary purpose), and libraries. The series reflects the major technological and mathematical advances that have a great impact in the fields of communication and control. The range of areas to which control and systems theory is applied is broadening rapidly with particular growth being noticeable in the fields of finance and biologically-inspired control. Books in this series generally pull together many related research threads in more mature areas of the subject than the highly-specialised volumes of Lecture Notes in Control and Information Sciences. This series’ mathematical and control-theoretic emphasis is complemented by Advances in Industrial Control which provides a much more applied, engineering-oriented outlook.
More information about this series at http://www.springer.com/series/61
Arjan van der Schaft
L2-Gain and Passivity Techniques in Nonlinear Control Third Edition
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Arjan van der Schaft Johann Bernoulli Institute for Mathematics and Computer Science University of Groningen Groningen The Netherlands
ISSN 0178-5354 ISSN 2197-7119 (electronic) Communications and Control Engineering ISBN 978-3-319-49991-8 ISBN 978-3-319-49992-5 (eBook) DOI 10.1007/978-3-319-49992-5 Library of Congress Control Number: 2016958708 1st edition: © Springer-Verlag London Limited 1996 2nd edition: © Springer-Verlag London 2000 3rd edition: © Springer International Publishing AG 2017 Originally published as Volume 218 in the series: Lecture Notes in Control and Information Sciences. 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. 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at
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