Generalized Adjoint Systems

This book defines and develops the generalized adjoint of an input-output system. It is the result of a theoretical development and examination of the generalized adjoint concept and the conditions under which systems analysis using adjoints is valid. Res

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Demetrios Serakos

Generalized Adjoint Systems

123

SpringerBriefs in Optimization Series Editors Panos M. Pardalos János D. Pintér Stephen M. Robinson Tamás Terlaky My T. Thai

SpringerBriefs in Optimization showcases algorithmic and theoretical techniques, case studies, and applications within the broad-based field of optimization. Manuscripts related to the ever-growing applications of optimization in applied mathematics, engineering, medicine, economics, and other applied sciences are encouraged.

More information about this series at http://www.springer.com/series/8918

Demetrios Serakos

Generalized Adjoint Systems

123

Demetrios Serakos Dahlgren, VA, USA

ISSN 2190-8354 ISSN 2191-575X (electronic) SpringerBriefs in Optimization ISBN 978-3-319-16651-3 ISBN 978-3-319-16652-0 (eBook) DOI 10.1007/978-3-319-16652-0 Library of Congress Control Number: 2015935202 Mathematics Subject Classification (2010): 93A30, 47A05, 93A10, 46B25 Springer Cham Heidelberg New York Dordrecht London © Demetrios Serakos 2015 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. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www. springer.com)

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Foreword

This book is the result of a theoretical development and examination of the generalized adjoint concept and the conditions under which systems analysis using adjoints is valid. The results developed in this book are useful aids for the analysis and modeling of physical systems, including the development of guidance and control algorithms, and in developing simulations.1 This book defines and develops the generalized adjoint of an input–output system. The generalized adjoint of a system may be used to represent the inverse of a system, which may be used in systems analysis. Furthermore, the generalized adjoint condenses system behavior in a way that facilitates analysis of the effect of noise and disturbance