Discrete-time delay systems

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

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.

Original languageEnglish
Title of host publicationSystems and Control
Subtitle of host publicationFoundations and Applications
PublisherBirkhauser
Pages243-272
Number of pages30
Edition9783319093925
DOIs
StatePublished - 2014

Publication series

NameSystems and Control: Foundations and Applications
Number9783319093925
Volume0
ISSN (Print)2324-9749
ISSN (Electronic)2324-9757

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