Estimation of reachable set for switched singular systems with time-varying delay and state jump

被引：8
|
作者：
Feng, Zhiguang [1 ]
Zhang, Xinyue [1 ]
Lam, James [2 ]
Fan, Chenchen [2 ]
机构：
[1] Harbin Engn Univ, Coll Intelligent Syst Sci & Engn, Harbin 150001, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Pokfulam Rd, Hong Kong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2023年 / 456卷
基金：
中国国家自然科学基金;
关键词：
Reachable set; Switched systems; Singular systems; State jump; Time-varying delay; STABILITY ANALYSIS; LINEAR-SYSTEMS; STABILIZATION;
D O I：
10.1016/j.amc.2023.128132
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper addresses the estimation problem of the reachable set for switched singular systems with state jump under initial condition and bounded peak disturbance. The aim is to determine a bounded set that contains all reachable states. Initially, a state jump lemma is presented for switched singular systems. Then, a new bounding lemma is shown by an-alyzing the variation of piecewise continuous functional in subintervals and referencing the definition of the average dwell-time. Afterwards, using lemmas and linear matrix in-equalities, sufficient conditions are derived for switched singular systems with and without time-varying delay, which ensure that the state trajectory of the system remains within a closed bounded set. Finally, the obtained results are validated through numerical examples.(c) 2023 Elsevier Inc. All rights reserved.
引用
下载
收藏
页数：12
相关论文
共 50 条
  • [1] A new result on reachable set estimation for time-varying delay singular systems
    Zhao, Jiemei
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (03) : 806 - 816
  • [2] Estimation of real-time reachable set on nonlinear time-delay switched singular systems with state jump
    Feng, Zhiguang
    Zhang, Xinyue
    Liu, Jason J. R.
    Jiang, Zhengyi
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2024, : 11199 - 11217
  • [3] Reachable Set Estimation for Uncertain Markovian Jump Systems with Time-Varying Delay and Disturbances
    Zhou, Shouwei
    Gu, Jiangliu
    Shen, Changchun
    Jiang, Min
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [4] Estimation of Reachable Set for Interval Time-Varying Delay Systems
    Zhao, Jiemei
    Hu, Zhonghui
    2017 CHINESE AUTOMATION CONGRESS (CAC), 2017, : 174 - 178
  • [5] Reachable set estimation for neutral semi-Markovian jump systems with time-varying delay
    Zhang, Xipan
    Shen, Changchun
    Xu, Dingju
    AIMS MATHEMATICS, 2024, 9 (04): : 8043 - 8062
  • [6] Reachable set estimation for Markovian jump neural networks with time-varying delay
    Lin, Wen-Juan
    He, Yong
    Wu, Min
    Liu, Qingping
    NEURAL NETWORKS, 2018, 108 : 527 - 532
  • [7] Reachable set estimation for continuous-time impulsive switched nonlinear time-varying systems with delay and disturbance
    Zhu, Xingao
    Liu, Shutang
    APPLIED MATHEMATICS AND COMPUTATION, 2022, 420
  • [8] New Results on Reachable Set Estimation for Singular Systems with Time-Varying Delays
    Liu Guobao
    Zhang Baoyong
    Ma Qian
    PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 145 - 150
  • [9] Reachable set estimation for linear systems with time-varying delay and polytopic uncertainties
    Wang, Wenqin
    Zhong, Shouming
    Liu, Feng
    Cheng, Jun
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (13): : 7322 - 7346
  • [10] Improved reachable set estimation of discrete-time systems with time-varying delay
    Feng, Zhiguang
    Zheng, Wei Xing
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2017, 38 (06): : 1081 - 1090
12345