Numerical Methods for Optimal Control Problems
The volume presents recent mathematical methods in the area of optimal control with a particular emphasis on the computational aspects and applications. Optimal control theory concerns the determination of control strategies for complex dynamical systems
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Maurizio Falcone Roberto Ferretti Lars Grüne William M. McEneaney Editors
Numerical Methods for Optimal Control Problems
Springer INdAM Series Volume 29
Editor-in-Chief G. Patrizio
Series Editors C. Canuto G. Coletti G. Gentili A. Malchiodi P. Marcellini E. Mezzetti G. Moscariello T. Ruggeri
More information about this series at http://www.springer.com/series/10283
Maurizio Falcone • Roberto Ferretti • Lars Gr¨une • William M. McEneaney Editors
Numerical Methods for Optimal Control Problems
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Editors Maurizio Falcone Department of Mathematics Sapienza University of Rome Roma, Italy Lars Gr¨une Mathematical Institut Universit¨at Bayreuth Bayreuth Bayern, Germany
Roberto Ferretti Department of Mathematics & Physics Roma Tre University Rome, Italy William M. McEneaney Department of Mechanical and Aerospace Engineering University of California, San Diego La Jolla CA, USA
ISSN 2281-518X ISSN 2281-5198 (electronic) Springer INdAM Series ISBN 978-3-030-01958-7 ISBN 978-3-030-01959-4 (eBook) https://doi.org/10.1007/978-3-030-01959-4 Library of Congress Control Number: 2018966854 © Springer Nature Switzerland AG 2018 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
The contributions included in this volume were presented at the workshop “Numerical methods for optimal control problems: algorithms, analysis and applications”, held in Rome on 19–23 June 2017, at the Istituto Nazionale di Alta Matematica— INdAM (for more information on the workshop see the website http://www1.mat. uniroma1.it/ricerca/convegni/2017/numoc2017/). The goal of the workshop was to compare and (possibly) integrate a number of techniques of heterogeneous origin, such as open-loop optimization, nonlinear a
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