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
相关论文
共 50 条
  • [1] STABILITY ANALYSIS OF DISCRETE-TIME SWITCHED SYSTEMS WITH ALL UNSTABLE SUBSYSTEMS
    Li, Huijuan
    Wei, Zhouchao
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
  • [2] STABILITY ANALYSIS OF DISCRETE-TIME SWITCHED SYSTEMS WITH ALL UNSTABLE SUBSYSTEMS
    Li, Huijuan
    Wei, Zhouchao
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (09): : 2762 - 2777
  • [3] Results on stability of switched discrete-time systems with all subsystems unstable
    Mao, Xiang
    Zhu, Hui
    Chen, Wei
    Zhang, Hongbin
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (01): : 152 - 158
  • [4] Stability analysis for discrete-time switched time-delay systems
    Zhang, Wen-An
    Yu, Li
    AUTOMATICA, 2009, 45 (10) : 2265 - 2271
  • [5] Stability Analysis for Linear Switched Time-Delay Systems with Unstable Subsystems
    Qu, Yuan-Chao
    Liu, Yu-Zhong
    Zhao, Xiao-Qi
    Zhang, Li-Na
    2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 2251 - 2255
  • [6] Stability analysis of a class of switched time-delay systems with unstable subsystems
    Chen, Ruiru
    Khorasani, K.
    2007 IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1-7, 2007, : 2757 - 2762
  • [7] Stability analysis of discrete-time switched linear systems with unstable subsystems
    Yu, Qiang
    Zhao, Xudong
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 : 718 - 725
  • [8] Stability analysis and asynchronous control of discrete-time cyclic switched systems with unstable subsystems
    Wang, Suzhen
    Yu, Fan
    Wang, Ruihua
    Jiao, Ticao
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2025,
  • [9] Stability Analysis for a Class of Discrete-Time Switched Systems With Partial Unstable Subsystems
    Du, Shengli
    Karimi, Hamid Reza
    Qiao, Junfei
    Wu, Di
    Feng, Chao
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2019, 66 (12) : 2017 - 2021
  • [10] Stability of switched nonlinear time-delay systems with stable and unstable subsystems
    Tian, Yazhou
    Cai, Yuanli
    Sun, Yuangong
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2017, 24 : 58 - 68
12345