Consensus Problem of Delayed Linear Multi-agent Systems Analysis and

In the context of coupled-coordination control mechanisms, this book focuses on the delay robustness of consensus problems with asynchronously coupled and synchronously coupled consensus algorithms respectively. Moreover, constructive consensus algorithms

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Cheng-Lin Liu Fei Liu

Consensus Problem of Delayed Linear Multi-agent Systems Analysis and Design 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

Cheng-Lin Liu Fei Liu •

Consensus Problem of Delayed Linear Multi-agent Systems Analysis and Design

123

Cheng-Lin Liu Institute of Automation Jiangnan University Wuxi, Jiangsu China

Fei Liu Institute of Automation Jiangnan University Wuxi, Jiangsu China

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 978-981-10-2491-7 ISBN 978-981-10-2492-4 (eBook) DOI 10.1007/978-981-10-2492-4 Library of Congress Control Number: 2016949101 © The Author(s) 2017 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 Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #22-06/08 Gateway East, Singapore 189721, Singapore

To my family Cheng-Lin Liu

Preface

Consensus behavior of multi-agent systems with distributed coupling interaction exists extensively in physics and in biology and has broad engineering applications, including clock synchronization, multi-motor synchronization, and smart grid. In distributed multi-agent systems, moreover, time delays are always within the communication, computing, and sensing processes, so determining and decreasing the delay impact on consensus seeking is worth of further investigation. The objective of this monograph is to provide thorough analysis on the delay robustness of consensus collective behavior for homogeneous and heterogeneous linear multi-agent systems. For the dynamical consensus seeking of linear multi-agent systems with communication delay