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

  • Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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.

Original languageEnglish
Title of host publicationProceedings of the 30th Chinese Control and Decision Conference, CCDC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2814-2819
Number of pages6
ISBN (Electronic)9781538612439
DOIs
StatePublished - 6 Jul 2018
Event30th Chinese Control and Decision Conference, CCDC 2018 - Shenyang, China
Duration: 9 Jun 201811 Jun 2018

Publication series

NameProceedings of the 30th Chinese Control and Decision Conference, CCDC 2018

Conference

Conference30th Chinese Control and Decision Conference, CCDC 2018
Country/TerritoryChina
CityShenyang
Period9/06/1811/06/18

Keywords

  • Discrete-time systems
  • Razumikhin approach
  • Stability
  • Time-delay systems
  • Time-varying systems

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