Distributed Systems with Persistent Memory Control and Moment Proble
The subject of the book includes the study of control problems for systems which are encountered in viscoelasticity, non-Fickian diffusion and thermodynamic with memory. The common feature of these systems is that memory of the whole past histor
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Luciano Pandolfi
Distributed Systems with Persistent Memory Control and Moment Problems
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
Luciano Pandolfi
Distributed Systems with Persistent Memory Control and Moment Problems
123
Luciano Pandolfi Dipartimento di Scienze Matematiche “G.L. Lagrange” Politecnico di Torino Torino, Italy
ISSN 2192-6786 ISBN 978-3-319-12246-5 DOI 10.1007/978-3-319-12247-2
ISSN 2192-6794 (electronic) ISBN 978-3-319-12247-2 (eBook)
Library of Congress Control Number: 2014951738 Mathematics Subject Classification (2010): 45K05, 93B03, 93B05, 93C22 Springer Cham Heidelberg New York Dordrecht London © The Author(s) 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
This booklet is devoted to the study of controllability of systems with persistent memory, which are important in engineering applications, for example, to viscoelasticity, non-Fickian diffusion and thermal processes with memory. Earlier studies of controllability are due to Leugering, see [63–65], and by now controllability under the action of boundary deformation has been studied with sev
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