Stability of Hybrid Impulsive and Switching Stochastic Systems with Time-delay

被引：0
|
作者：
Xuegang Tan
Bin Hu
Zhi-Hong Guan
Rui-Quan Liao
Jiang-Wen Xiao
Yuehua Huang
机构：
[1] Huazhong University of Science and Technology,College of Automation
[2] Yangtze University,Petroleum Engineering College
[3] China Three Gorges University,Hubei Provincial Collaborative Innovation Center for New Energy Microgrid
来源：
International Journal of Control, Automation and Systems | 2018年 / 16卷
关键词：
Hybrid stochastic differential systems; impulsive and switching; stability; time delay;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper investigates a model of hybrid impulsive and switching stochastic systems (HISSS) with time-delay. Several stability criteria, including the globally asymptotical and exponential stability criteria in the pth moment and mean square, are established by using Itô formula, a generalized switching Lyapunov functions and some relating techniques. Especially, a more general Lyapunov-Krasivskii functional is constructed, and it is observed that the mean square asymptotic and exponential stability conditions of HISSS are delay-dependent. A numerical example shows that the obtained stability results can reduce the conservativeness.
引用
收藏
页码：1532 / 1540
页数：8
相关论文
共 50 条
  • [41] Input-to-state stability of impulsive switched nonlinear time-delay systems with two asynchronous switching phenomena
    Wang, Zhichuang
    Sun, Jian
    Chen, Jie
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (12) : 4463 - 4484
  • [42] Incremental stability of stochastic time-varying impulsive and switching systems
    Jiao, Ticao
    Zong, Guangdeng
    Park, Ju H.
    Liu, Jian
    Zhao, Yanlei
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2021, 31 (11) : 5460 - 5475
  • [43] STABILITY OF TIME-DELAY SYSTEMS
    LEE, TN
    DIANAT, S
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (04) : 951 - 953
  • [44] STABILITY OF TIME-DELAY SYSTEMS
    LANDIS, JG
    PERLMUTTER, DD
    AICHE JOURNAL, 1972, 18 (02) : 380 - +
  • [45] Mean Square Stability of Nonlinear Stochastic Impulsive Systems with Time Delay
    Alwan, Mohamad
    Liu, Xinzhi
    Xie, Wei-Chau
    ADVANCES IN MATHEMATICAL AND COMPUTATIONAL METHODS: ADDRESSING MODERN CHALLENGES OF SCIENCE, TECHNOLOGY, AND SOCIETY, 2011, 1368
  • [46] Exponential Stability for Impulsive Stochastic Nonlinear Network Systems with Time Delay
    Chen, Lanping
    Han, Zhengzhi
    Ma, Zhenghua
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [47] Research on impulsive Lurie systems with time-delay
    Li Xuejun
    ENGINEERING SOLUTIONS FOR MANUFACTURING PROCESSES IV, PTS 1 AND 2, 2014, 889-890 : 633 - 636
  • [48] Finite-time stability of impulsive fractional-order systems with time-delay
    Hei, Xindong
    Wu, Ranchao
    APPLIED MATHEMATICAL MODELLING, 2016, 40 (7-8) : 4285 - 4290
  • [49] Switching control for time-delay systems
    Momeni, Ahmadreza
    Aghdam, Amir G.
    2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 : 332 - +
  • [50] Adaptive Sliding Mode Control for Nonlinear Impulsive Time-Delay Hybrid Systems
    Zhan, Tao
    Xia, Yuanqing
    Li, Wentao
    Pedrycz, Witold
    Ma, Shuping
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2024, 54 (08): : 4688 - 4700
12345