Stability of stochastic time-delay systems involving delayed impulses?

被引：30
作者：
Liu, Yang [1 ,2 ]
Xu, Junyan [1 ,2 ,3 ]
Lu, Jianquan [4 ]
Gui, Weihua [5 ]
机构：
[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321000, Peoples R China
[2] Zhejiang Normal Univ, Key Lab Intelligent Educ Technol & Applicat Zhejia, Jinhua 321004, Peoples R China
[3] Fuzhou Univ, Sch Math & Stat, Fuzhou 350002, Fujian, Peoples R China
[4] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
[5] Cent South Univ, Sch Informat Sci & Engn, Changsha 410083, Peoples R China
来源：
AUTOMATICA | 2023年 / 152卷
关键词：
Stochastic time -delay system; Average random delay; Average impulsive interval; pth moment exponential stability; TO-STATE STABILITY; EXPONENTIAL STABILITY; NETWORKS;
D O I：
10.1016/j.automatica.2023.110955
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 paper, the pth moment exponential stability is investigated for impulsive stochastic time-delay systems (STDS) with random impulsive delay. A novel concept of average random delay in impulses is introduced to deal with the pth moment exponential stability of STDS, which provides a new idea for the study of the stochastic delay in impulses from a holistic perspective. Considering the impulsive effect, the destabilizing and stabilizing delayed impulses are studied, respectively. It is revealed that the random delay in impulses plays a significant role on the stability of the system, which may not only destabilize a stable system but also stabilize an unstable system. In particular, our results allow the delays in continuous dynamics and impulsive dynamics to exceed the length of the impulsive interval, which are more general than previous results. Finally, some numerical simulations are presented to illustrate our proposed results.(c) 2023 Elsevier Ltd. All rights reserved.
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页数：11
相关论文
共 40 条
  • [1] Stability of networked control systems with asynchronous renewal links: An impulsive systems approach
    Antunes, Duarte
    Hespanha, Joao
    Silvestre, Carlos
    [J]. AUTOMATICA, 2013, 49 (02) : 402 - 413
  • [2] Arnold L., 1974, STOCHASTIC DIFFERENT
  • [3] A delayed Black and Scholes formula
    Arriojas, Mercedes
    Hu, Yaozhong
    Mohammed, Salah-Eldin
    Pap, Gyula
    [J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 2007, 25 (02) : 471 - 492
  • [4] Stochastic systems with memory and jumps
    Banos, D. R.
    Cordoni, F.
    Di Nunno, G.
    Di Persio, L.
    Rose, E. E.
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 266 (09) : 5772 - 5820
  • [5] Stability of stochastic nonlinear delay systems with delayed impulses
    Cao, Wenping
    Zhu, Quanxin
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2022, 421
  • [6] Exponential stability of nonlinear time-delay systems with delayed impulse effects
    Chen, Wu-Hua
    Zheng, Wei Xing
    [J]. AUTOMATICA, 2011, 47 (05) : 1075 - 1083
  • [7] INPUT-TO-STATE STABILITY OF NONLINEAR IMPULSIVE SYSTEMS
    Dashkovskiy, Sergey
    Mironchenko, Andrii
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2013, 51 (03) : 1962 - 1987
  • [8] Input-to-state stability of interconnected hybrid systems
    Dashkovskiy, Sergey
    Kosmykov, Michael
    [J]. AUTOMATICA, 2013, 49 (04) : 1068 - 1074
  • [9] Dugard L, 1998, Stability and control of time-delay systems, V228
  • [10] Hale J.K., 1993, INTRO FUNCTIONAL DIF, DOI DOI 10.1007/978-1-4612-4342-7
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