IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v401y2021ics0096300321001028.html
   My bibliography  Save this article

Stabilization of stochastic delayed systems: Event-triggered impulsive control

Author

Listed:
  • Peng, Dongxue
  • Li, Xiaodi
  • Rakkiyappan, R.
  • Ding, Yanhui

Abstract

In this paper, we discuss the stability problem of impulsive stochastic delayed systems within the framework of event-triggered control strategy. Event-triggered impulsive control (ETIC) is proposed to guarantee system’s pth moment stability performance. In ETIC, the impulsive control inputs are generated by some pre-designed event triggering conditions and control inputs in the period of two triggered instants are not required. Then controller design problems for nonlinear impulsive stochastic delayed systems are addressed to show the validity of our theoretical results. Moreover, the involved non-Zeno problem is addressed in detail. Finally, two interesting examples with simulation results are performed to substantiate the validity and merits of our theoretical analysis.

Suggested Citation

  • Peng, Dongxue & Li, Xiaodi & Rakkiyappan, R. & Ding, Yanhui, 2021. "Stabilization of stochastic delayed systems: Event-triggered impulsive control," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    • Handle: RePEc:eee:apmaco:v:401:y:2021:i:c:s0096300321001028
    DOI: 10.1016/j.amc.2021.126054
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300321001028
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2021.126054?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Zhang, Lan & Yang, Xinsong & Xu, Chen & Feng, Jianwen, 2017. "Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control," Applied Mathematics and Computation, Elsevier, vol. 306(C), pages 22-30.
    2. Sergey Dashkovskiy & Hamid Karimi & Michael Kosmykov, 2012. "A Lyapunov–Razumikhin approach for stability analysis of logistics networks with time-delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(5), pages 845-853.
    3. Ren, Chengcheng & He, Shuping, 2020. "Finite-time stabilization for positive Markovian jumping neural networks," Applied Mathematics and Computation, Elsevier, vol. 365(C).
    4. Mao, Xuerong, 1996. "Razumikhin-type theorems on exponential stability of stochastic functional differential equations," Stochastic Processes and their Applications, Elsevier, vol. 65(2), pages 233-250, December.
    5. Fu, Xiaozheng & Zhu, Quanxin, 2020. "Exponential stability of neutral stochastic delay differential equation with delay-dependent impulses," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lichao Feng & Qiaona Wang & Chunyan Zhang & Dianxuan Gong, 2022. "Polynomial Noises for Nonlinear Systems with Nonlinear Impulses and Time-Varying Delays," Mathematics, MDPI, vol. 10(9), pages 1-13, May.
    2. Yujuan Tian & Yuhan Yin & Fei Wang & Kening Wang, 2022. "Impulsive Control of Complex-Valued Neural Networks with Mixed Time Delays and Uncertainties," Mathematics, MDPI, vol. 10(3), pages 1-14, February.
    3. He, Xinyi & Wang, Yuhan & Li, Xiaodi, 2021. "Uncertain impulsive control for leader-following synchronization of complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    4. Zhiguo Yan & Fangxu Su, 2022. "Mean-Square Strong Stability and Stabilization of Discrete-Time Markov Jump Systems with Multiplicative Noises," Mathematics, MDPI, vol. 10(6), pages 1-16, March.
    5. Li, Zhao-Yan & Zhang, Qianqian & Zhou, Bin, 2024. "On exponential and L2-exponential stability of continuous-time delay-difference systems," Applied Mathematics and Computation, Elsevier, vol. 481(C).
    6. Li, Huijuan & Li, Wuquan & Gu, Jianzhong, 2022. "Decentralized stabilization of large-scale stochastic nonlinear systems with time-varying powers," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    7. Huang, Tao & Shao, Yiyu & Li, Liwei & Liu, Yajuan & Shen, Mouquan, 2024. "Guaranteed cost event-triggered H∞ control of uncertain linear system via output disturbance observer," Applied Mathematics and Computation, Elsevier, vol. 473(C).
    8. Liu, Haoliang & Zhang, Taixiang & Li, Xiaodi, 2021. "Event-triggered control for nonlinear systems with impulse effects," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yan, Zhilian & Guo, Tong & Zhao, Anqi & Kong, Qingkai & Zhou, Jianping, 2022. "Reliable exponential H∞ filtering for a class of switched reaction-diffusion neural networks," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    2. Zhou, Jianping & Park, Ju H. & Ma, Qian, 2016. "Non-fragile observer-based H∞ control for stochastic time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 69-83.
    3. Wang, Lingyu & Huang, Tingwen & Xiao, Qiang, 2018. "Global exponential synchronization of nonautonomous recurrent neural networks with time delays on time scales," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 263-275.
    4. Qi Wang & Huabin Chen & Chenggui Yuan, 2022. "A Note on Exponential Stability for Numerical Solution of Neutral Stochastic Functional Differential Equations," Mathematics, MDPI, vol. 10(6), pages 1-11, March.
    5. Guo, Yaxiao & Li, Junmin & Duan, Ruirui, 2021. "Extended dissipativity-based control for persistent dwell-time switched singularly perturbed systems and its application to electronic circuits," Applied Mathematics and Computation, Elsevier, vol. 402(C).
    6. Yadav, Vijay K. & Shukla, Vijay K. & Das, Subir, 2021. "Exponential synchronization of fractional-order complex chaotic systems and its application," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    7. Natalya O. Sedova & Olga V. Druzhinina, 2023. "Exponential Stability of Nonlinear Time-Varying Delay Differential Equations via Lyapunov–Razumikhin Technique," Mathematics, MDPI, vol. 11(4), pages 1-15, February.
    8. Tu, Zhengwen & Yang, Xinsong & Wang, Liangwei & Ding, Nan, 2019. "Stability and stabilization of quaternion-valued neural networks with uncertain time-delayed impulses: Direct quaternion method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    9. Udom, Akaninyene Udo, 2012. "Exponential stabilization of stochastic interval system with time dependent parameters," European Journal of Operational Research, Elsevier, vol. 222(3), pages 523-528.
    10. Zhou, Ya & Wan, Xiaoxiao & Huang, Chuangxia & Yang, Xinsong, 2020. "Finite-time stochastic synchronization of dynamic networks with nonlinear coupling strength via quantized intermittent control," Applied Mathematics and Computation, Elsevier, vol. 376(C).
    11. Chen, Yuan & Wu, Jianwei & Bao, Haibo, 2022. "Finite-time stabilization for delayed quaternion-valued coupled neural networks with saturated impulse," Applied Mathematics and Computation, Elsevier, vol. 425(C).
    12. Abdurahman, Abdujelil & Abudusaimaiti, Mairemunisa & Jiang, Haijun, 2023. "Fixed/predefined-time lag synchronization of complex-valued BAM neural networks with stochastic perturbations," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    13. K., Pooja Lakshmi & Senthilkumar, T., 2024. "Synchronization results for uncertain complex-valued neural networks under delay-dependent flexible impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    14. Chunxiang Li & Fangshu Hui & Fangfei Li, 2023. "Stability of Differential Systems with Impulsive Effects," Mathematics, MDPI, vol. 11(20), pages 1-23, October.
    15. Zheng, Song & Yuan, Liguo, 2019. "Nonperiodically intermittent pinning synchronization of complex-valued complex networks with non-derivative and derivative coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 587-605.
    16. Yunfeng Li & Pei Cheng & Zheng Wu, 2022. "Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations," Mathematics, MDPI, vol. 10(21), pages 1-17, November.
    17. Zihan Zou & Yinfang Song & Chi Zhao, 2022. "Razumikhin Theorems on Polynomial Stability of Neutral Stochastic Pantograph Differential Equations with Markovian Switching," Mathematics, MDPI, vol. 10(17), pages 1-15, August.
    18. Xu, Yao & Li, Wenxue, 2020. "Finite-time synchronization of fractional-order complex-valued coupled systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    19. Mao, Wei & Hu, Liangjian & Mao, Xuerong, 2015. "The existence and asymptotic estimations of solutions to stochastic pantograph equations with diffusion and Lévy jumps," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 883-896.
    20. Lifu Wang & Bo Shen, 2023. "On the Parallelization Upper Bound for Asynchronous Stochastic Gradients Descent in Non-convex Optimization," Journal of Optimization Theory and Applications, Springer, vol. 196(3), pages 900-935, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:401:y:2021:i:c:s0096300321001028. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.