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.
The original version of this chapter was revised. An erratum to this chapter can be found at http://dx.doi.org/10.1007/978-3-319-09393-2_8
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Fridman, E. (2014). Discrete-Time Delay Systems. In: Introduction to Time-Delay Systems. Systems & Control: Foundations & Applications. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-09393-2_6
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DOI: https://doi.org/10.1007/978-3-319-09393-2_6
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-09392-5
Online ISBN: 978-3-319-09393-2
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