A discrete-time looped functional approach and its application to discrete-time systems with cyclically varying delays

被引：1

作者：

Chen, Wen-Hu ^{[1
,2
,3
]}

Zhang, Chuan-Ke ^{[1
,2
,3
]}

Wang, Chen-Rui ^{[1
,2
,3
]}

Xie, Ke-You ^{[1
,2
,3
]}

He, Yong ^{[1
,2
,3
]}

Zeng, Hong-Bing ^{[4
]}

机构：

[1] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China

[2] Hubei Key Lab Adv Control & Intelligent Automat Co, Wuhan 430074, Peoples R China

[3] Engn Res Ctr Intelligent Technol Geoexplorat, Wuhan 430074, Peoples R China

[4] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412007, Peoples R China

来源：

SCIENCE CHINA-INFORMATION SCIENCES | 2025年 / 68卷 / 08期

基金：

中国国家自然科学基金;

关键词：

cyclically varying delay; discrete-time systems; discrete-time looped functional; allowable delay sets; stability analysis; S FUZZY-SYSTEMS; STABILITY ANALYSIS; STABILIZATION; INEQUALITIES;

D O I：

10.1007/s11432-024-4220-6

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 investigates the stability analysis problem of discrete-time systems with cyclically varying delays. Unlike previous studies, the delay investigated in this paper cyclically alternates between increasing and decreasing changes within its upper and lower bounds. First, to reasonably describe the cyclic variation characteristics of the delay, a discrete-time looped functional (DTLF) approach and a refined allowable delay set (ADS) are proposed. Then, based on the constructed DTLF with delay-product terms and using matrix-separation-based inequality to estimate its forward difference, delay-variation-interval-dependent stability conditions considering two different ADSs are derived. Finally, the effectiveness and superiority of the obtained conditions are demonstrated through two numerical examples.

引用

页数：15

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