A Variational Approach to Nonsmooth Dynamics Applications in Unilate

This brief examines mathematical models in nonsmooth mechanics and nonregular electrical circuits, including evolution variational inequalities, complementarity systems, differential inclusions, second-order dynamics, Lur'e systems and Moreau's sweeping p

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Samir Adly

A Variational Approach to Nonsmooth Dynamics Applications in Unilateral Mechanics and Electronics 123

SpringerBriefs in Mathematics Series editors Nicola Bellomo Michele Benzi Palle Jorgensen Tatsien Li Roderick Melnik Otmar Scherzer Benjamin Steinberg Lothar Reichel Yuri Tschinkel George Yin Ping Zhang

SpringerBriefs in Mathematics showcases expositions in all areas of mathematics and applied mathematics. Manuscripts presenting new results or a single new result in a classical field, new field, or an emerging topic, applications, or bridges between new results and already published works, are encouraged. The series is intended for mathematicians and applied mathematicians.

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Samir Adly

A Variational Approach to Nonsmooth Dynamics Applications in Unilateral Mechanics and Electronics

123

Samir Adly Laboratoire XLIM Université de Limoges Limoges France

ISSN 2191-8198 ISSN 2191-8201 (electronic) SpringerBriefs in Mathematics ISBN 978-3-319-68657-8 ISBN 978-3-319-68658-5 (eBook) https://doi.org/10.1007/978-3-319-68658-5 Library of Congress Control Number: 2017962054 Mathematics Subject Classification (2010): 34A60, 34H15, 37N40, 46N10, 47J22, 49J52, 49J53, 65K10, 65K15, 90C33 © 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

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Foreword

During the French Revolution, the writer of a project of law on public instruction complained: “The lack or scarcity of good elementary books has been, until now, one of the greatest obstacles in the way of better instruction. The reason for this scarcity is that, unti