Introduction to Infinite-Dimensional Systems Theory A State-Space Ap

Infinite-dimensional systems is a well established area of research with an ever increasing number of applications. Given this trend, there is a need for an introductory text treating system and control theory for this class of systems in detail. This tex

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Ruth Curtain Hans Zwart

Introduction to Infinite-Dimensional Systems Theory A State-Space Approach

Texts in Applied Mathematics Volume 71

Editors-in-Chief Anthony Bloch, University of Michigan, Ann Arbor, MI, USA Charles L. Epstein, University of Pennsylvania, Philadelphia, PA, USA Alain Goriely, University of Oxford, Oxford, UK Leslie Greengard, New York University, New York, NY, USA Series Editors J. Bell, Lawrence Berkeley National Lab, Berkeley, USA R. Kohn, New York University, New York, NY, USA P. Newton, University of Southern California, Los Angeles, USA C. Peskin, New York University, New York, NY, USA R. Pego, Carnegie Mellon University, Pittsburgh, PA, USA L. Ryzhik, Stanford University, Stanford, CA, USA A. Singer, Princeton University, Princeton, NJ, USA A. Stevens, Max-Planck-Institute for Mathematics, Leipzig, Germany A. Stuart, University of Warwick, Coventry, UK T. Witelski, Duke University, Durham, NC, USA S. Wright, University of Wisconsin, Madison, WI, USA

The mathematization of all sciences, the fading of traditional scientific boundaries, the impact of computer technology, the growing importance of computer modelling and the necessity of scientific planning all create the need both in education and research for books that are introductory to and abreast of these developments. The aim of this series is to provide such textbooks in applied mathematics for the student scientist. Books should be well illustrated and have clear exposition and sound pedagogy. Large number of examples and exercises at varying levels are recommended. TAM publishes textbooks suitable for advanced undergraduate and beginning graduate courses, and complements the Applied Mathematical Sciences (AMS) series, which focuses on advanced textbooks and research-level monographs.

More information about this series at http://www.springer.com/series/1214

Ruth Curtain Hans Zwart •

Introduction to Infinite-Dimensional Systems Theory A State-Space Approach

123

Ruth Curtain Groningen, The Netherlands

Hans Zwart Department of Applied Mathematics University of Twente Enschede, The Netherlands

ISSN 0939-2475 ISSN 2196-9949 (electronic) Texts in Applied Mathematics ISBN 978-1-0716-0588-2 ISBN 978-1-0716-0590-5 (eBook) https://doi.org/10.1007/978-1-0716-0590-5 Mathematics Subject Classification (2010): 93-01, 93B05, 93B07, 93B18, 93B28, 93B52, 93C05, 93C20, 93C23, 93C25, 93D05, 93D15, 93D20, 93D30, 34K35, 35K05, 35K20, 35L05, 35L20, 35P10, 47A48, 47B40, 47C60, 47D06, 47N70, 49N10 © Springer Science+Business Media, LLC, part of Springer Nature 2020 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 descriptiv