Control of Wave and Beam PDEs The Riesz Basis Approach
Control of Wave and Beam PDEs is a concise, self-contained introduction to Riesz bases in Hilbert space and their applications to control systems described by partial differential equations (PDEs). The authors discuss classes of systems that satisfy
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Bao-Zhu Guo Jun-Min Wang
Control of Wave and Beam PDEs The Riesz Basis Approach
Communications and Control Engineering Series editors Alberto Isidori, Roma, Italy Jan H. van Schuppen, Amsterdam, The Netherlands Eduardo D. Sontag, Boston, USA Miroslav Krstic, La Jolla, 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’s mathematical and control-theoretic emphasis is complemented by Advances in Industrial Control which provides a much more applied, engineering-oriented outlook. Indexed by SCOPUS and Engineering Index. Publishing Ethics: Researchers should conduct their research from research proposal to publication in line with best practices and codes of conduct of relevant professional bodies and/or national and international regulatory bodies. For more details on individual ethics matters please see: https://www.springer.com/gp/authors-editors/journal-author/journal-authorhelpdesk/publishing-ethics/14214
More information about this series at http://www.springer.com/series/61
Bao-Zhu Guo Jun-Min Wang •
Control of Wave and Beam PDEs The Riesz Basis Approach
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Bao-Zhu Guo Academy of Mathematics and Systems Science Academia Sinica Beijing, China
Jun-Min Wang School of Mathematics and Statistics Beijing Institute of Technology Beijing, China
School of Computer Science and Applied Mathematics University of the Witwatersrand Johannesburg, South Africa
ISSN 0178-5354 ISSN 2197-7119 (electronic) Communications and Control Engineering ISBN 978-3-030-12480-9 ISBN 978-3-030-12481-6 (eBook) https://doi.org/10.1007/978-3-030-12481-6 Library of Congress Control Number: 2019930363 Mathematics Subject Classification (2010): 47B06, 34L20, 47A10, 93B52, 93D15, 70J25, 35Q93 MATLAB® is a registered trademark of The MathWorks, Inc., 1 Apple Hill Drive, Natick, MA 01760-2098, USA, http://www.mathworks.com. © Springer Nature Switzerland AG 2019 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 retrieva
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