Stability and stabilization of discrete-time time-varying systems with unbounded delays

被引：0

作者：

Guo, Yige ^{[1
]}

Wang, Fei ^{[1
]}

Guo, Yihan ^{[2
]}

Xu, Xiang ^{[3
]}

机构：

[1] Zhongguancun Laboratory, Beijing

[2] Xi'an Modern Chemistry Research Inistitute, Xi'an

[3] Shenzhen Key Laboratory of Control Theory and Intelligent Systems, Southern University of Science and Technology, Shenzhen

来源：

Journal of the Franklin Institute | 2025年 / 362卷 / 13期

关键词：

Discrete-time systems; Stability; Stabilization; Time-varying systems; Unbounded delays;

D O I：

10.1016/j.jfranklin.2025.107890

中图分类号：

学科分类号：

摘要：

This study addresses the stability and stabilization of discrete-time time-varying systems subject to unbounded delays. First, novel extended Lyapunov stability theorems are established, which permit positive differences in Lyapunov functionals. Based on these results, two low gain control laws are designed for some discrete-time linear time-varying (LTV) systems subject to unbounded input delays, ensuring global exponential stability of the closed-loop systems. At last, the efficacy of the proposed control schemes is demonstrated by two numerical examples. © 2025 The Franklin Institute

引用

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