New stability conditions for discrete-time switched positive linear time-varying systems

被引：8
|
作者：
Zhang, Niankun [1 ]
Zhu, Jin [1 ]
Kang, Yu [1 ,2 ,3 ]
Yu, Peilong [1 ]
机构：
[1] Univ Sci & Technol China, Dept Automat, Hefei 230022, Peoples R China
[2] Univ Sci & Technol China, Inst Adv Technol, Hefei 230088, Peoples R China
[3] Univ Sci & Technol China, State Key Lab Fire Sci, Hefei 230026, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2022年 / 359卷 / 01期
基金：
中国国家自然科学基金;
关键词：
COPOSITIVE LYAPUNOV FUNCTIONS; STABILIZATION; DESIGN;
D O I：
10.1016/j.jfranklin.2020.09.048
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this note, we will devote to investigate the stability of discrete-time switched positive linear time-varying systems (PLTVSs). Firstly, a new asymptotic stability criterion of discrete-time PLTVSs is obtained by using time-varying copositive Lyapunov functions (TVCLFs) and this criterion is then extended to the switched case based on the multiple TVCLFs. Furthermore, the sufficient conditions are derived for stability of discrete-time switched PLTVSs with stable subsystems by means of function-dependent average dwell time and function-dependent minimum dwell time. In addition, the stability sufficient conditions are drawn for the switched PLTVSs which contain unstable subsystems. It is worth noting that the difference of TVCLFs and multiple TVCLFs are both relaxed to indefinite in our work. The theoretical results obtained are verified by two numerical examples. (C) 2021 Published by Elsevier Ltd on behalf of The Franklin Institute.
引用
收藏
页码：104 / 122
页数：19
相关论文
共 50 条
  • [21] Conditions of stability and guaranteed convergence rate for linear time-varying discrete-time delay systems
    De Iuliis, Vittorio
    Manes, Costanzo
    SYSTEMS & CONTROL LETTERS, 2023, 177
  • [22] Exponential stability of discrete-time switched systems based on a switched time-varying Lyapunov function
    Jiang, Na
    Sun, Yuangong
    2022 22ND INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS 2022), 2022, : 93 - 98
  • [23] Finite-time Stability of Discrete-time Switched Positive Linear Systems
    Wang Xuefei
    Wen Jiwei
    PROCEEDINGS OF THE 32ND 2020 CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2020), 2020, : 4580 - 4583
  • [24] Fractional Standard and Positive Descriptor Time-Varying Discrete-Time Linear Systems
    Kaczorek, Tadeusz
    PROGRESS IN AUTOMATION, ROBOTICS AND MEASURING TECHNIQUES: CONTROL AND AUTOMATION, 2015, 350 : 101 - 112
  • [25] Finite-time stability and stabilisation of singular discrete-time linear positive systems with time-varying delay
    Dinh Cong Huong
    Nguyen Huu Sau
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2019, 50 (15) : 2824 - 2837
  • [26] New Results on Stability of Discrete-time Systems with Time-varying Delays
    Liu, Lili
    Wu, Baowei
    2017 29TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2017, : 4243 - 4247
  • [27] New criterion for finite-time stability of linear discrete-time systems with time-varying delay
    Zuo, Zhiqiang
    Li, Hongchao
    Wang, Yijing
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (09): : 2745 - 2756
  • [28] Stability of discrete-time systems with time-varying delays
    Ekanayake, MM
    Premaratne, K
    Douligeris, C
    Bauer, PH
    PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 3914 - 3919
  • [29] New Delay-Dependent Stability of Uncertain Discrete-Time Switched Systems with Time-Varying Delays
    Liang Lin XIONG 1
    2.School of Applied Mathematics
    3.Key Laboratory for NeuroInformation of Ministry of Education
    4.School of Computer Science and Engineering
    Journal of Mathematical Research with Applications, 2011, (02) : 224 - 232
  • [30] New Delay-Dependent Stability of Uncertain Discrete-Time Switched Systems with Time-Varying Delays
    Liang Lin XIONG Shou Ming ZHONG Mao YE School of Mathematics and Computer ScienceYunnan Nationalities UniversityYunnan PRChinaSchool of Applied MathematicsUniversity of Electronic Science and Technology of ChinaSichuan PRChinaKey Laboratory for NeuroInformation of Ministry of EducationUniversity of Electronic Science and Technology of ChinaSichuan PRChinaSchool of Computer Science and EngineeringUniversity of Electronic Science and Technology of ChinaSichuan PRChina
    数学研究与评论, 2011, 31 (02) : 224 - 232
12345