Scholarlink

<p>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.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

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

  • 期刊论文

  • 发表日期：

    2025年3月25日

查看全文
  • Wen-Hu Chen,
  • Chuan-Ke Zhang,
  • Chen-Rui Wang,
  • Ke-You Xie,
  • Yong He,
  • Hong-Bing Zeng

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.