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

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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


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