Analysis and Design of Descriptor Linear Systems
Descriptor linear systems is an important and rich part of the general field of control systems theory. This book provides a systematic development of descriptor linear systems covering two aspects --- analysis and design. The text provides thorough intro
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Series Editors: David Y. Gao, Virginia Polytechnic Institute and State University Ray W. Ogden, University of Glasgow Romesh C. Batra, Virginia Polytechnic Institute and State University Advisory Board: Ivar Ekeland, University of British Columbia Tim Healey, Cornell University Kumbakonom Rajagopal, Texas A&M University ´ Tudor Ratiu, Ecole Polytechnique F´ed´erale David J. Steigmann, University of California, Berkeley
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Guang-Ren Duan
Analysis and Design of Descriptor Linear Systems
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Guang-Ren Duan Harbin Institute of Technology Center for Control Theory and Guidance Technology Harbin, 150001 P. R. China [email protected]
ISSN 1571-8689 e-ISSN 1876-9896 ISBN 978-1-4419-6396-3 e-ISBN 978-1-4419-6397-0 DOI 10.1007/978-1-4419-6397-0 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2010933873 Mathematics Subject classification (2010): 58E25, 93B52, 93C05, 93C35 c Springer Science+Business Media, LLC 2010 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
To Shichao and Jiefu
Preface
Descriptor linear systems theory is an important part in the general field of control systems theory, and has attracted much attention in the last two decades. In spite of the fact that descriptor linear systems theory has been very rich in content, there have been only a few comprehensive books on this topic, e.g., Campbell (1980), Campbell (1982), and Dai (1989b). There do exist some other books and some PhD thesises related to descriptor systems, but they are all focused on very special topics. This book aims to provide a relatively systematic introduction to the basic results in descriptor linear systems theory. The whole book has 11 chapters, and focuses on the analysis and design problems on continuous-time descriptor linear systems. Materials about analysis and design of discrete-time descriptor linear systems are not included. Besides most of the fundamental context, it also contains some of the author’s research work, which are reflected in the topics of response analysis, regularization, dynamical order assignment, eigenstructure assignment, and parametric approaches for observer design, etc. Many researchers in the world have made great contribu
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