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

被引：9

作者：

Guo, Yige ^{[1
,2
]}

Xu, Xiang ^{[2
]}

Liu, Lu ^{[2
]}

Wang, Yong ^{[1
]}

Feng, Gang ^{[2
]}

机构：

[1] Univ Sci & Technol China, Dept Automat, Hefei 230026, Peoples R China

[2] City Univ Hong Kong, Dept Biomed Engn, Kowloon, Hong Kong, Peoples R China

来源：

AUTOMATICA | 2022年 / 136卷

关键词：

Discrete-time systems; Infinite delays; Stability; Lyapunov method; FUNCTIONAL DIFFERENCE-EQUATIONS; LINEAR-SYSTEMS; INPUT DELAYS; STABILIZATION; EQUIVALENCE;

D O I：

10.1016/j.automatica.2021.110043

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：7

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