Networks of Dissipative Systems Compositional Certification of Stabi
This book addresses a major problem for today’s large-scale networked systems: certification of the required stability and performance properties using analytical and computational models. On the basis of illustrative case studies, it demonstrates the app
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Murat Arcak Chris Meissen Andrew Packard
Networks of Dissipative Systems Compositional Certification of Stability, Performance, and Safety 123
SpringerBriefs in Electrical and Computer Engineering Control, Automation and Robotics
Series editors Tamer Başar Antonio Bicchi Miroslav Krstic
More information about this series at http://www.springer.com/series/10198
Murat Arcak Chris Meissen Andrew Packard •
Networks of Dissipative Systems Compositional Certification of Stability, Performance, and Safety
123
Murat Arcak Department of Electrical Engineering and Computer Sciences University of California, Berkeley Berkeley, CA USA
Andrew Packard Department of Mechanical Engineering University of California, Berkeley Berkeley, CA USA
Chris Meissen Department of Mechanical Engineering University of California, Berkeley Berkeley, CA USA
Additional material to this book can be downloaded from http://extras.springer.com. ISSN 2191-8112 ISSN 2191-8120 (electronic) SpringerBriefs in Electrical and Computer Engineering ISSN 2192-6786 ISSN 2192-6794 (electronic) SpringerBriefs in Control, Automation and Robotics ISBN 978-3-319-29927-3 ISBN 978-3-319-29928-0 (eBook) DOI 10.1007/978-3-319-29928-0 Library of Congress Control Number: 2016932862 © The Author(s) 2016 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 the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland
Preface
Existing computational tools for control synthesis and verification do not scale well to today’s large-scale networked systems. Recent advances, such as sum-of-squares relaxations for polynomial nonnegativity, have made it possible to numerically search for Lyapunov functions and to certify measures of performance; however, these procedures are applicable only to problems of modest size. In this book we address networks where the subsystems are amenable to standard analytical and computational methods but the interc
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