Introduction to InfiniteDimensional Systems Theory
A StateSpace Approach
Authors: Curtain, Ruth, Zwart, Hans
 Serves as an introductory text to the basic concepts of infinitedimensional system theory
 Contains detailed proofs of precise results with workedout examples throughout
 Provides many exercises for each chapter
 Supplements references with a large appendix for further reading
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 About this Textbook

Infinitedimensional 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 textbook is suitable for courses focusing on the various aspects of infinitedimensional state space theory. This book is made accessible for mathematicians and postgraduate engineers with a minimal background in infinitedimensional system theory. To this end, all the system theoretic concepts introduced throughout the text are illustrated by the same types of examples, namely, diffusion equations, wave and beam equations, delay equations and the new class of platoontype systems. Other commonly met distributed and delay systems can be found in the exercise sections. Every chapter ends with such a section, containing about 30 exercises testing the theoretical concepts as well. An extensive account of the mathematical background assumed is contained in the appendix.
 About the authors

Ruth F. Curtain (born Melbourne, Australia, 1941) completed her early academic education (B.Sc. (Hons) 1962, Dip.Ed. 1963, M.A. Mathematics 1965) at the University of Melbourne and a Ph.D. in Applied Mathematics at Brown University, Providence, R.I., USA in 1969. She was Assistant Professor at Purdue University from 1970 to 1971 and spent 1971 to 1977 at the Control Theory Centre, University of Warwick, UK. At present she is emeritus professor in the mathematics department of the University of Groningen where she has worked since 1977. Her research interests lie in the area of infinitedimensional systems theory. She is the coauthor of two books in this field: “Infinite Dimensional Systems Theory”, LNCIS, volume 8, Springer Verlag, 1978, with A.J. Pritchard, and ”An Introduction to Linear InfiniteDimensional System Theory”, Springer Verlag, 1995, with H.J. Zwart. She has served as associate editor for the international journals Systems and Control Letters, Automatica, the journal Mathematics of Control, Signals and Systems and the Journal of Mathematical Systems, Estimation and Control and as an editor for Automatica. For contributions to the control theory of stochastic systems and infinitedimensional systems she was elected to the grade of Fellow in the IEEE in 1991.
Hans Zwart (born HoogezandSappemeer, The Netherlands, 1959) received his Masters degree in mathematics in 1984 and his Ph.D. in 1988 at the University of Groningen. Since 1988 he is with the Department of Applied Mathematics, University of Twente, the Netherlands, where he is now full professor. His research interest lies in the area of distributed parameter systems. In addition, he holds a parttime professorial position at the department of Mechanical Engineering, Eindhoven University of Technology. He is the coauthor of many papers and of the text books “An Introduction to Linear InfiniteDimensional System Theory”, Springer Verlag, 1995, with R.F. Curtain and of “Linear PortHamiltonian Systems on InfiniteDimensional Spaces” with B. Jacob. Current research topics include system theory for distributed parameter systems with a Hamiltonian dynamics and controller design for mechanical systems.
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Bibliographic Information
 Bibliographic Information

 Book Title
 Introduction to InfiniteDimensional Systems Theory
 Book Subtitle
 A StateSpace Approach
 Authors

 Ruth Curtain
 Hans Zwart
 Series Title
 Texts in Applied Mathematics
 Series Volume
 71
 Copyright
 2020
 Publisher
 SpringerVerlag New York
 Copyright Holder
 Springer Science+Business Media, LLC, part of Springer Nature
 eBook ISBN
 9781071605905
 DOI
 10.1007/9781071605905
 Hardcover ISBN
 9781071605882
 Series ISSN
 09392475
 Edition Number
 1
 Number of Pages
 XV, 743
 Number of Illustrations
 22 b/w illustrations
 Topics