Necessary and sufficient conditions for moment stability of positive Markov jump linear systems

被引：0
|
作者：
Liu, Jiamin [1 ,2 ]
Colaneri, Patrizio [2 ,3 ]
Bolzern, Paolo [2 ]
Li, Zhao-Yan [1 ]
机构：
[1] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China
[2] Politecn Milan, Dipartimento Elettron Informaz & Bioingn, I-20133 Milan, Italy
[3] Politecn Milan, IEIIT CNR DEIB, I-20133 Milan, Italy
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 136卷
基金：
中国国家自然科学基金;
关键词：
Positive system; Markov jump; Nonlinear stochastic equations; Moment stability; STOCHASTIC STABILITY; CRITERIA; DELAY;
D O I：
10.1016/j.aml.2022.108449
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper focuses on the problems of stability for positive Markov jump linear systems (PMJLSs) and its application to nonlinear Markov jump stochastic systems (MJSSs). First, we provide sufficient and necessary conditions for p -moment exponential stability of PMJLS. Then, based on the proposed results on p-moment exponential stability of PMJLS, we obtain explicit stability criteria for nonlinear MJSSs. Finally, two numerical examples are presented to confirm the validity of the obtained theoretical results.(c) 2022 Elsevier Ltd. All rights reserved.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] Necessary and Sufficient Conditions for 2pth Moment Stability of Several Classes of Linear Stochastic Systems
    Luo, Shixian
    Deng, Feiqi
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (07) : 3084 - 3091
  • [2] L1-Stochastic Stability and L1-Gain Performance of Positive Markov Jump Linear Systems With Time -Delays: Necessary and Sufficient Conditions
    Zhu, Shuqian
    Han, Qing-Long
    Zhang, Chenghui
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (07) : 3634 - 3639
  • [3] NECESSARY AND SUFFICIENT CONDITIONS FOR STABILITY OF IMPULSIVE SWITCHED LINEAR SYSTEMS
    Xu, Honglei
    Teo, Kok Lay
    Gui, Weihua
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2011, 16 (04): : 1185 - 1195
  • [4] Stochastic Stability of Discrete Time Positive Markov Jump Nonlinear Systems
    Zhao, Ping
    Zhao, Yan
    Song, Xinmin
    Niu, Ben
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2023, 36 (05) : 1949 - 1960
  • [5] Stochastic stability of positive Markov jump linear systems with fixed dwell time
    Lian, Jie
    Wang, Renke
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2021, 40
  • [6] Necessary and sufficient stability criteria for linear systems with delays
    Xu, BG
    TIME DELAY SYSTEMS, 2002, : 123 - 128
  • [7] Stochastic Stability of Discrete Time Positive Markov Jump Nonlinear Systems
    Ping Zhao
    Yan Zhao
    Xinmin Song
    Ben Niu
    Journal of Systems Science and Complexity, 2023, 36 : 1949 - 1960
  • [8] Algebraic Necessary and Sufficient Conditions for Testing Stability of 2-D Linear Systems
    Mohsenipour, Reza
    Agathoklis, Panajotis
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (04) : 1825 - 1831
  • [9] 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
  • [10] Mean stability of continuous-time semi-Markov jump linear positive systems
    Ogura, Masaki
    Martin, Clyde F.
    2014 AMERICAN CONTROL CONFERENCE (ACC), 2014, : 3261 - 3266
12345