Fractional Dynamics and Control
Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fr
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Dumitru Baleanu • Jos´e Ant´onio Tenreiro Machado Albert C. J. Luo Editors
Fractional Dynamics and Control
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Editors Dumitru Baleanu Mathematics and Computer Sciences Faculty of Art and Sciences Cankaya University Ankara Turkey [email protected]
Jos´e Ant´onio Tenreiro Machado Department of Electrical Engineering Polytechnic Institute of Porto Institute of Engineering Rua Dr Ant´onio Bernadino Almeida 431 4200-072 Porto Portugal [email protected]
Albert C. J. Luo Mechanical and Industrial Engineering School of Engineering Southern Illinois University Room: EB2064 Edwardsville USA [email protected]
ISBN 978-1-4614-0456-9 e-ISBN 978-1-4614-0457-6 DOI 10.1007/978-1-4614-0457-6 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2011941213 © Springer Science+Business Media, LLC 2012 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)
Preface
Fractional calculus is as old as the classical one and it started to be intensively studied and applied in many branches of science and engineering. The fractional dynamics is growing faster during the few decades together with the fractional control theory which certified the fractional calculus as being a fundamental tool in describing the dynamics of complex systems. This book is based on the 3rd conference on Nonlinear Science and Complexity (NSC), Ankara, Turkey, July 27–31, 2010. Due to the impact of topics on a very wide spectrum of problems in science and engineering, this conference provided a place to exchange recent developments, discoveries and progresses on nonlinear science and complexity. This conference is the continuation of the first 2006 Conference on Nonlinear Science and Complexity, Beijing, China, and the second 2008 conference on Nonlinear Science and Complexity held in Porto, Portugal. This book it is entitled “Fractional Dynamics and Control” and it collects the recent development in nonlinear dynamics, nonlinear vibration and control. The aim of this book provides a fast exchange idea in nonlinear dynamical systems and control. One can learn the recent developments, including analytical, numerical and experimental results in such area. The editors hope that this collection of papers may be fruitful for scholars, researchers and advanced technical members
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