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

被引：6
|
作者：
Tan, Xuegang [1 ]
Hu, Bin [1 ]
Guan, Zhi-Hong [1 ]
Liao, Rui-Quan [2 ]
Xiao, Jiang-Wen [1 ]
Huang, Yuehua [3 ]
机构：
[1] Huazhong Univ Sci & Technol, Coll Automat, Wuhan 430074, Hubei, Peoples R China
[2] Yangtze Univ, Petr Engn Coll, Jingzhou 420400, Peoples R China
[3] China Three Gorges Univ, Hubei Prov Collaborat Innovat Ctr New Energy Micr, Yichang 443002, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2018年 / 16卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Hybrid stochastic differential systems; impulsive and switching; stability; time delay; EXPONENTIAL P-STABILITY; FUNCTIONAL-DIFFERENTIAL EQUATIONS; NONLINEAR-SYSTEMS; NEURAL-NETWORKS; VARYING DELAYS; STABILIZATION; CRITERIA;
D O I：
10.1007/s12555-017-0354-1
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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 It 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：9
相关论文
共 50 条
  • [41] Synchronization of time-delay systems with impulsive delay via an average impulsive estimation approach
    Li, Biwen
    Huang, Qiaoping
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2024, 21 (03) : 4501 - 4520
  • [42] H∞ filter for impulsive switched systems with time-delay
    Xu Chengjie
    Zheng Ying
    Liu Bin
    Liu Dongnan
    2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2013, : 2102 - 2106
  • [43] Exponential stability of impulsive CNNs with time-delay
    Wang, Hui
    Zou, Jin
    Yang, Degang
    PROCEEDINGS OF THE 2007 CONFERENCE ON SYSTEMS SCIENCE, MANAGEMENT SCIENCE AND SYSTEM DYNAMICS: SUSTAINABLE DEVELOPMENT AND COMPLEX SYSTEMS, VOLS 1-10, 2007, : 2055 - 2060
  • [44] Stability Analysis of Impulsive Switched Time-Delay Systems With State-Dependent Impulses
    Ren, Wei
    Xiong, Junlin
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (09) : 3928 - 3935
  • [45] Stability of time-delay systems with impulsive control involving stabilizing delays
    Li, Xiaodi
    Li, Peng
    AUTOMATICA, 2021, 124
  • [46] On stability analysis of nonlinear time-delay systems on time scales
    Zhang, Xianfu
    Lu, Xiaodong
    SYSTEMS & CONTROL LETTERS, 2019, 131
  • [47] Decentralized control of impulsive interconnected switched positive time-delay systems under MDMDT switching
    Li, Shuo
    Chen, Zilan
    Jia, Yongqi
    Xiang, Chengdi
    Xiang, Zhengrong
    ISA TRANSACTIONS, 2025, 158 : 296 - 314
  • [48] Almost Sure Asymptotic Stability of Time-variant Stochastic Systems with Time-delay
    Xing, Mali
    Deng, Feiqi
    2019 3RD IEEE CONFERENCE ON CONTROL TECHNOLOGY AND APPLICATIONS (IEEE CCTA 2019), 2019, : 678 - 683
  • [49] Stability of stochastic discrete-time piecewise homogeneous Markov jump systems with time delay and impulsive effects
    Wang, Pengfei
    Wang, Weiye
    Su, Huan
    Feng, Jiqiang
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2020, 38
  • [50] A New Robust Stability Analysis of Uncertain Switching Fuzzy Time-Delay Systems
    Jaballi, Ahmed
    Sakly, Anis
    El Hajjaji, Ahmed
    2015 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE 2015), 2015,
12345