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2014 | OriginalPaper | Chapter

6. Discrete-Time Delay Systems

Author : Emilia Fridman

Published in: Introduction to Time-Delay Systems

Publisher: Springer International Publishing

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Abstract

In this chapter, we consider stability, performance analysis, and control of linear (probably, uncertain) discrete-time systems. Some of the presented ideas may also be useful in the nonlinear case. Differently from continuous-time TDSs, the discrete-time ones can be reduced to non-delay systems by state/input/output augmentation. However, such an augmentation may lead to complicated systems if the delay is uncertain, variable or not small. Therefore, also in the discrete-time case, Lyapunov–Krasovskii and Lyapunov–Razumikhin methods and the small gain theorem approach lead to efficient conditions for analysis and control.

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previous chapter Control Design for TDSs
next chapter Sampled-Data and NCSs: A Time-Delay Approach
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Metadata
Title
Discrete-Time Delay Systems
Author
Emilia Fridman
Copyright Year
2014
Book
Introduction to Time-Delay Systems

Print ISBN: 978-3-319-09392-5

Electronic ISBN: 978-3-319-09393-2

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-09393-2_6