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.
CITATION STYLE
Fridman, E. (2014). Discrete-time delay systems. In Systems and Control: Foundations and Applications (Vol. 0, pp. 243–272). Birkhauser. https://doi.org/10.1007/978-3-319-09393-2_6
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