Authors:
- Serves as an introductory text to the basic concepts of infinite-dimensional system theory
- Contains detailed proofs of precise results with worked-out examples throughout
- Provides many exercises for each chapter
- Supplements references with a large appendix for further reading
Part of the book series: Texts in Applied Mathematics (TAM, volume 71)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (11 chapters)
-
Front Matter
-
Back Matter
About this book
This book is made accessible for mathematicians and post-graduate engineers with a minimal background in infinite-dimensional 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 platoon-type 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.
Authors and Affiliations
-
Groningen, The Netherlands
Ruth Curtain
-
Department of Applied Mathematics, University of Twente, Enschede, The Netherlands
Hans Zwart
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 infinite-dimensional systems theory. She is the co-author 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 Infinite-Dimensional 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 infinite-dimensional systems she was elected to the grade of Fellow in the IEEE in 1991.
Bibliographic Information
Book Title: Introduction to Infinite-Dimensional Systems Theory
Book Subtitle: A State-Space Approach
Authors: Ruth Curtain, Hans Zwart
Series Title: Texts in Applied Mathematics
DOI: https://doi.org/10.1007/978-1-0716-0590-5
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 2020
Hardcover ISBN: 978-1-0716-0588-2Published: 05 April 2020
eBook ISBN: 978-1-0716-0590-5Published: 05 April 2020
Series ISSN: 0939-2475
Series E-ISSN: 2196-9949
Edition Number: 1
Number of Pages: XII, 752
Number of Illustrations: 37 b/w illustrations