About this book
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 textbook is suitable for courses focusing on the various aspects of infinite-dimensional state space theory.
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.
distributed parameter systems infinite-dimensional systems strongly continuous semigroups optimal control stabilizability transfer functions semi-linear systems Lyapunov stability
- Book Title Introduction to Infinite-Dimensional Systems Theory
- Book Subtitle A State-Space Approach
- Series Title Texts in Applied Mathematics
- Series Abbreviated Title Texts in Applied Math.
- DOI https://doi.org/10.1007/978-1-0716-0590-5
- Copyright Information Springer Science+Business Media, LLC, part of Springer Nature 2020
- Publisher Name Springer, New York, NY
- eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
- Hardcover ISBN 978-1-0716-0588-2
- eBook ISBN 978-1-0716-0590-5
- Series ISSN 0939-2475
- Series E-ISSN 2196-9949
- Edition Number 1
- Number of Pages XII, 752
- Number of Illustrations 37 b/w illustrations, 0 illustrations in colour
Systems Theory, Control
Control and Systems Theory
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