Abstract
To motivate the usefulness of developing a theory for linear infinite-dimensional systems, we present some simple examples of control systems which arise in spatial invariant systems, delay systems, and systems describe by partial differential equations. Furthermore, we discuss some system theory concepts for finite-dimensional systems. These concepts will be extended to infinite dimensions in the later chapters.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 Springer Science+Business Media, LLC, part of Springer Nature
About this chapter
Cite this chapter
Curtain, R., Zwart, H. (2020). Introduction. In: Introduction to Infinite-Dimensional Systems Theory. Texts in Applied Mathematics, vol 71. Springer, New York, NY. https://doi.org/10.1007/978-1-0716-0590-5_1
Download citation
DOI: https://doi.org/10.1007/978-1-0716-0590-5_1
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-0716-0588-2
Online ISBN: 978-1-0716-0590-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)