Stability Analysis of Discrete-Time Semi-Markov Jump Linear Systems With Time Delay

被引：26
|
作者：
Wang, Bao [1 ,2 ]
Zhu, Quanxin [1 ]
Li, Subei [3 ]
机构：
[1] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, CHP LCOCS, Changsha 410081, Peoples R China
[2] Xuzhou Univ Technol, Coll Math & Stat, Xuzhou 221000, Jiangsu, Peoples R China
[3] Xuzhou Univ Technol, Coll Math & Stat, Xuzhou 221000, Jiangsu, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Controller design; discrete-time semi-Markov jump linear systems; linear matrix inequality (LMI); semi-Markov switching condition; time delay; STOCHASTIC DIFFERENTIAL-EQUATIONS; STABILIZATION;
D O I：
10.1109/TAC.2023.3240926
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The stability and stabilization problems for discrete-time semi-Markov jump linear systems with time delay are discussed. By virtue of a novel Lyapunov-Krasovskill functional and the probability structure of semi-Markov switching signal, the sufficient stability conditions for the considered systems are presented in terms of a set of linear matrix inequalities and a proper semi-Markov switching condition. Based on such conditions, the time delay and mode dependent controller can be designed to stabilize the corresponding closed-loop systems. Finally, two examples are given to illustrate the effectiveness of our results.
引用
收藏
页码：6758 / 6765
页数：8
相关论文
共 50 条
  • [1] Stability Analysis of Discrete-Time Semi-Markov Jump Linear Systems
    Wang, Bao
    Zhu, Quanxin
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (12) : 5415 - 5421
  • [2] Stability analysis of discrete-time semi-Markov jump linear systems with partly unknown semi-Markov kernel
    Wang, Bao
    Zhu, Quanxin
    SYSTEMS & CONTROL LETTERS, 2020, 140
  • [3] Stability and Stabilization of Discrete-Time Semi-Markov Jump Linear Systems with Delay in Controller Mode Switching
    Ning, Zepeng
    Shen, Junnan
    Shi, Peng
    Zhang, Lixian
    Jiang, Zhe
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 3720 - 3725
  • [4] Stability and Stabilization of Discrete-Time Semi-Markov Jump Linear Systems via Semi-Markov Kernel Approach
    Zhang, Lixian
    Leng, Yusong
    Colaneri, Patrizio
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (02) : 503 - 508
  • [5] Stability analysis and synthesis of discrete-time semi-Markov jump singular systems
    Liu, Jiamin
    Li, Zhao-Yan
    INTERNATIONAL JOURNAL OF CONTROL, 2024, 97 (03) : 625 - 634
  • [6] On σ-error moment stability and stabilization for discrete-time semi-Markov jump linear systems
    Liu, Jiamin
    Li, Zhao-Yan
    SYSTEMS & CONTROL LETTERS, 2024, 192
  • [7] Stability analysis and stabilization of discrete-time non-homogeneous semi-Markov jump linear systems: A polytopic approach
    Ning, Zepeng
    Zhang, Lixian
    Mesbah, Ali
    Colaneri, Patrizio
    AUTOMATICA, 2020, 120
  • [8] H? Asynchronous Control for Discrete-Time Semi-Markov Jump Systems
    Jin, Liqiang
    Yin, Yanyan
    Liu, Yanqing
    Teo, Kok Lay
    Liu, Fei
    IFAC PAPERSONLINE, 2022, 55 (03): : 143 - 148
  • [9] Analysis of the stability of Discrete-time Markov Jump Linear Singular Systems
    Mayta Guillermo, Jorge Enrique
    Moreno Capristano, Maritza Lourdes
    2020 59TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2020, : 4281 - 4286
  • [10] Robust stability on discrete-time nonhomogeneous singular semi-Markov jump systems with a polytopic method
    Zhang, Jingyi
    Ma, Shuping
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2024, 361 (04):
12345