New stability criteria for discrete-time systems with a time-varying delay via a delay-variation-dependent free-matrix-based inequalityNew stability criteria for discrete-time systems with a time-varying delay via a delay⋯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\cdots $$\end{document}L. Luo et al.

被引：0

作者：

Li Luo ^{[1
]}

Jun Chen ^{[1
]}

Bo Song ^{[1
]}

Guangming Zhuang ^{[2
]}

机构：

[1] Jiangsu Normal University,School of Electrical Engineering and Automation

[2] Liaocheng University,School of Mathematical Sciences

来源：

International Journal of Dynamics and Control | 2025年 / 13卷 / 4期

关键词：

Discrete-time systems; Time-varying delay; Lyapunov functional; Summation inequality;

D O I：

10.1007/s40435-025-01634-5

中图分类号：

学科分类号：

摘要：

Recent studies have demonstrated that incorporating delay-variation-dependent information can significantly reduce conservatism of stability criteria for discrete-time delayed systems. In this context, based on the discrete Bessel–Legendre inequality, a general free-matrix-based inequality is developed. This inequality improves the traditional estimation by fully utilizing the delay-variation-dependent information. Furthermore, by constructing a new delay-product-type Lyapunov functional and applying the improved inequality, novel stability criteria are consequently derived for discrete-time systems with a time-varying delay. The superiority of the proposed criteria in reducing conservatism is clearly illustrated through numerical examples.

引用