Abstract
In the recent development of control theory, various kinds of norms of signals and systems play important roles. The norm of signals is a nonnegative number assigned to each signal which quantifies the “length” of the signal. Some of the norms of signals can induce a norm of systems through the input/output relation generated by the system. The notion of induced norm is the key idea of the contemporary design theory of control systems.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Kimura, H. (1997). Norms and Factorizations. In: Chain-Scattering Approach to H∞ Control. Modern Birkhäuser Classics. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8331-3_3
Download citation
DOI: https://doi.org/10.1007/978-0-8176-8331-3_3
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-8330-6
Online ISBN: 978-0-8176-8331-3
eBook Packages: Springer Book Archive