Stochastic stability of non-linear impulsive semi-Markov jump systems

被引：14
|
作者：
Lin, Yu [1 ]
Zhang, Yu [1 ]
机构：
[1] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2019年 / 13卷 / 11期
关键词：
time-varying systems; stochastic systems; stability; Lyapunov methods; continuous time systems; stochastic stability; stochastic Lyapunov functions; nonlinear impulsive semiMarkov jump systems; unbounded transition rates; sufficient conditions; LINEAR-SYSTEMS; DIFFERENTIAL-EQUATIONS; ROBUST STABILIZATION; DYNAMICAL NETWORKS; SYNCHRONIZATION; UNIQUENESS; EXISTENCE;
D O I：
10.1049/iet-cta.2018.6383
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 study, the problem of stochastic stability of non-linear impulsive semi-Markov jump systems is investigated. Using the method of stochastic Lyapunov functions, the authors develop some sufficient conditions about stochastic stability for a class of non-linear impulsive semi-Markov jump systems with unbounded transition rates. Particularly, the obtained results generalise and complement some published literatures. Finally, some examples are given to show the effectiveness and advantages of the proposed results.
引用
收藏
页码：1753 / 1760
页数：8
相关论文
共 50 条
  • [1] Stochastic stability and robust stabilization of semi-Markov jump linear systems
    Huang, Ji
    Shi, Yang
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2013, 23 (18) : 2028 - 2043
  • [2] Stochastic Stability of Semi-Markov Jump Linear Systems: An LMI Approach
    Huang, Ji
    Shi, Yang
    2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 4668 - 4673
  • [3] Stochastic mixed impulsive control and stability for stochastic functional differential systems with semi-Markov jump
    Zhang, Ning
    Chen, Huiyu
    Li, Wenxue
    NEUROCOMPUTING, 2023, 534 : 187 - 198
  • [4] Stochastic Stability of Semi-Markov Jump Linear Systems with Uncertain Transition Rates
    Faraji-Niri, Mona
    Jahed-Motlagh, Mohammad-Reza
    2015 23RD IRANIAN CONFERENCE ON ELECTRICAL ENGINEERING (ICEE), 2015, : 799 - 804
  • [5] Stability Analysis of Semi-Markov Jump Stochastic Nonlinear Systems
    Wu, Xiaotai
    Shi, Peng
    Tang, Yang
    Mao, Shuai
    Qian, Feng
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (04) : 2084 - 2091
  • [6] Stochastic Stability and Stabilization of Semi-Markov Jump Linear Systems with Uncertain Transition Rates
    Faraji-Niri, Mona
    Jahed-Motlagh, Mohammad-Reza
    INFORMATION TECHNOLOGY AND CONTROL, 2017, 46 (01): : 37 - 52
  • [7] Stability of stochastic jump-parameter semi-Markov linear systems of differential equations
    Shmerling, Efraim
    Hochberg, Kenneth J.
    STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2008, 80 (06) : 513 - 518
  • [8] Stability of stochastic delayed semi-Markov jump systems with stochastic mixed impulses: A novel stochastic impulsive differential inequality
    Zhang, Ning
    Huang, Shunjie
    Li, Wenxue
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (18): : 10785 - 10812
  • [9] Asymptotic stability analysis of nonlinear stochastic semi-Markov jump systems
    Liu, Jiamin
    Colaneri, Patrizio
    Bolzern, Paolo
    Li, Zhao-Yan
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2023, 33 (14) : 8615 - 8630
  • [10] 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
12345