New results on stability of discrete-time systems with infinite delays

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Article number110043
Number of pages7
Journal / PublicationAutomatica
Volume136
Online published25 Nov 2021
Publication statusPublished - Feb 2022

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DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85119915587&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(09a43cfd-9ad7-43c8-aa75-308363a59dea).html

Abstract

This paper is concerned with problems of stability of discrete-time systems with infinite delays. Several new theorems for stability analysis of the concerned delayed systems are developed. Specifically, uniform stability, uniform asymptotic stability, global uniform asymptotic stability, exponential stability and global exponential stability are included. Our results include some existing works on bounded delays as special cases. Furthermore, an example is furnished to demonstrate the effectiveness of the proposed theorems.

Research Area(s)

  • Discrete-time systems, Infinite delays, Lyapunov method, Stability

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Publication fingerprints text

100
Asymptotic Stabilit... Mathematics
100
Discrete Time Syste... Mathematics
100
Discrete-time Syste... Keyphrases
100
Infinite Delay Keyphrases
100
stability INIS
50
Stability Analysis Mathematics
50
Bounded Delay Keyphrases
50
Delay Systems Keyphrases
50
Global Exponential ... Keyphrases
50
Exponential Stabili... Keyphrases
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Citation Format(s)

[ RIS ] [ BibTeX ]
New results on stability of discrete-time systems with infinite delays. / Guo, Yige; Xu, Xiang; Liu, Lu et al.
In: Automatica, Vol. 136, 110043, 02.2022.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review