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

IF 3.7 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-07-13 DOI:10.1016/j.jfranklin.2025.107890

Yige Guo , Fei Wang , Yihan Guo , Xiang Xu

引用次数: 0

Abstract

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.

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具有无界时滞的离散时变系统的稳定性与镇定

研究了具有无界时滞的离散时变系统的稳定性和镇定性。首先，建立了新的扩展Lyapunov稳定性定理，该定理允许Lyapunov泛函的正差分。在此基础上，针对一类具有无界输入时滞的离散线性时变系统设计了两个低增益控制律，保证了闭环系统的全局指数稳定性。最后，通过两个算例验证了所提控制方案的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of The Franklin Institute-engineering and Applied Mathematics 工程技术-工程：电子与电气

CiteScore

7.30

自引率

14.60%

发文量

586

审稿时长

6.9 months

期刊介绍： The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.