On the forward razumikhin approach for discrete-time time-varying time-delay systems

Tianrui Zhao,Bin Zhou

doi:10.1109/ccdc.2018.8407604

On the forward razumikhin approach for discrete-time time-varying time-delay systems

Tianrui Zhao, Bin Zhou

https://doi.org/10.1109/ccdc.2018.8407604

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Publication Date: Jun 1, 2018

Citations: 7

Affiliation: Harbin Institute of Technology

#Discrete-time Time-delay Systems #Discrete-time Time-varying Systems + Show 8 more

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Abstract

This paper investigates the forward Razumikhin approach for discrete-time time-varying time-delay systems. Sufficient conditions are obtained for uniform stability (US) and uniformly asymptotically stability (UAS) respectively by using the notion of scalar UAS function. Moreover, with the help of a comparison lemma, a uniformly exponential stability (UES) theorem is also obtained. An example regarding UES for a class of discrete-time linear time-varying time-delay systems is studied to illustrate the effectiveness of the obtained results.

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