Stability analysis and stabilization control of discrete-time impulsive switched time-delay systems with all unstable subsystems

被引：0
作者：
Jiang, Na [1 ]
Sun, Yuangong [1 ]
机构：
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China
来源：
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2024年 / 29卷 / 03期
基金：
中国国家自然科学基金;
关键词：
discrete-time switched delay system; switching time-varying Lyapunov-Krasovskii functional; impulse; stability; stabilization; H-INFINITY CONTROL; EXPONENTIAL STABILITY; IMPROVED RAZUMIKHIN; LINEAR-SYSTEMS; STATE DELAYS;
D O I：
10.15388/namc.2024.29.34661
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, stability analysis and stabilization control of discrete-time impulsive switched time-delay systems with all unstable subsystems are discussed. By utilizing a switching time-varying Lyapunov-Krasovskii functional and the mode-dependent interval dwell-time switching rule, we derive some more general stability theorems for the considered time-delay system with all subsystems being unstable. Moreover, we design a time-varying state feedback controller to ensure the stabilization of the resulting closed-loop system. Eventually, the theoretical findings are demonstrated utilizing numerical examples.
引用
收藏
页码：449 / 465
页数：17
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