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
  • [1] Stability of Hybrid Impulsive and Switching Stochastic Systems with Time-delay
    Xuegang Tan
    Bin Hu
    Zhi-Hong Guan
    Rui-Quan Liao
    Jiang-Wen Xiao
    Yuehua Huang
    International Journal of Control, Automation and Systems, 2018, 16 : 1532 - 1540
  • [2] Stability of Stochastic Differential Switching Systems with Time-Delay and Impulsive Effects
    Fang, Zhuang
    Huang, Xiaozhong
    Tan, Xuegang
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
  • [3] Hybrid impulsive and switching time-delay systems
    Li, C.
    Ma, F.
    Feng, G.
    IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (11) : 1487 - 1498
  • [4] Exponential Stability of Hybrid Stochastic Differential Systems with Switching and Time Delay
    Pu, Xing-cheng
    Huang, Kun-peng
    PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 1327 - 1332
  • [5] Input-to-state stability of impulsive and switching hybrid systems with time-delay
    Liu, Jun
    Liu, Xinzhi
    Xie, Wei-Chau
    AUTOMATICA, 2011, 47 (05) : 899 - 908
  • [6] Stability of hybrid stochastic differential systems with switching and time delay
    Pu, Xing-cheng
    Tan, Xue-gang
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2017, 35 (03) : 569 - 585
  • [7] Stability properties of nonlinear stochastic impulsive systems with time delay
    Alwan, Mohamad S.
    Liu, Xinzhi
    Xie, Wei-Chau
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2016, 34 (01) : 117 - 136
  • [8] Stability analysis for stochastic impulsive switched time-delay systems with asynchronous impulses and switches
    Ren, Wei
    Xiong, Junlin
    SYSTEMS & CONTROL LETTERS, 2019, 133
  • [9] Razumikhin stability theorems for a general class of stochastic impulsive switched time-delay systems
    Ren, Wei
    Xiong, Junlin
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (12) : 3988 - 4001
  • [10] Impulsive observer and impulsive control for time-delay systems
    Wang, Yuhan
    Li, Xiaodi
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (13): : 8529 - 8542
12345