L2 - Gain and Passivity Techniques in Nonlinear Control

With respect to the first edition as Volume 218 in the Lecture Notes in Con­ trol and Information Sciences series the basic idea of the second edition has remained the same: to provide a compact presentation of some basic ideas in the classical theory of

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Arjan van der Schaft

L2 - Gain and Passivity

Techniques in Nonlinear Control With 27 Figures

,

Springer

Arjan van der Schaft. Dr University ofTwente. Faculty of Mathematical Sciences. PO Box217.

7500 AE Enschede. The Netherlands

Series Editors E.D. Son tag • M. Thoma

ISBN 978-1-4471-1154-2

British Library Cataloguing in Publication Data Schaft, A.J. van der L2-gain and passivity techniques in nonlinear control. 2nd ed - (Communications and control engineering) l.Nonlinear control theory 2.Automatic control I.Title 629.8'36 ISBN 978-1-4471-1154-2 Library of Congress Cataloging-in-Publication Data Schaft, A.J. van der. L2-gain and passivity techniques in nonlinear control I A.J. van der Schaft. p. cm -- (Communications and control engineering series) Includes bibliographical references. ISBN 978-1-4471-1154-2 ISBN 978-1-4471-0507-7 (eBook) DOI 10.1007/978-1-4471-0507-7

1. Feedback control systems. 2. Nonlinear control theory. I. Title. 11. Series. TJ216.S34 1999 629.8'321--dc21 99-045693

Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms of licences issued by the Copyright Licensing Agency. Enquiries concerning reproduction outside those terms should be sent to the publishers. Cl Springer-Yedag London 2000 Originally published by Springer-Verlag London Berlin Heidelberg in 2000 Sofu:over reprint of th