Document Type

Article

Publication Date

1-1-2023

Abstract

We provide a discrete-time vector valued analog of recently developed continuous-time trajectory-based estimates. We use it to provide a discrete-time version of Halanay's inequality. We combine the results with interval observers to prove exponential stability properties for discrete-time linear systems with uncertainties whose arbitrarily long input delays are compensated for by reduction model controls, and a robust global exponential stability result for observers for discrete-time linear systems.

Publication Source (Journal or Book title)

IEEE Control Systems Letters

First Page

3175

Last Page

3180

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