IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v495y2025ics0096300325000633.html
   My bibliography  Save this article

Mode-based triggered protocol for synchronization of switched dynamic networks with semi-Markov kernel and its application

Author

Listed:
  • Chen, Mengshen
  • Ding, Derui
  • Yan, Huaicheng
  • Liang, Kun

Abstract

In this paper, the mean square synchronization is investigated for discrete-time dynamic networks with stochastic switching topologies via a semi-Markov kernel approach. A novel mode-based triggered protocol is developed to reduce the communication frequency, where the data between coupled nodes is only transmitted at the topology switching instants. Besides, a more general semi-Markov chain based on the semi-Markov kernel approach is first adopted to describe the stochastic switching process of network topologies, then the different types of probability density functions can coexist in any topological mode. Under the proposed triggering strategy, a mode-based distributed synchronization protocol is formed to deal with the controller design difficulty caused by the randomness of semi-Markov switching. Based on the Lyapunov function, some auxiliary inequalities in existing results are avoided and further the numerically testable criterion is obtained to ensure mean square synchronization of the dynamic networks. Finally, a practical example of power systems is presented to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Chen, Mengshen & Ding, Derui & Yan, Huaicheng & Liang, Kun, 2025. "Mode-based triggered protocol for synchronization of switched dynamic networks with semi-Markov kernel and its application," Applied Mathematics and Computation, Elsevier, vol. 495(C).
    • Handle: RePEc:eee:apmaco:v:495:y:2025:i:c:s0096300325000633
    DOI: 10.1016/j.amc.2025.129336
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300325000633
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2025.129336?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Wenjing An & Peifeng Zhao & Hongjian Liu & Jun Hu, 2022. "Distributed multi-step subgradient projection algorithm with adaptive event-triggering protocols: a framework of multiagent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(13), pages 2758-2772, October.
    2. Yao, Xiuming & Lian, Yue & Park, Ju H., 2019. "Disturbance-observer-based event-triggered control for semi-Markovian jump nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
    3. Luyang Yu & Ying Cui & Yurong Liu & Naif D. Alotaibi & Fawaz E. Alsaadi, 2022. "Sampled-based consensus of multi-agent systems with bounded distributed time-delays and dynamic quantisation effects," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(11), pages 2390-2406, August.
    4. Wu, Li-Bing & Park, Ju H. & Xie, Xiang-Peng & Liu, Ya-Juan & Yang, Zhi-Chun, 2020. "Event-triggered adaptive asymptotic tracking control of uncertain nonlinear systems with unknown dead-zone constraints," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    5. Hu, Xiaohui & Xia, Jianwei & Wei, Yunliang & Meng, Bo & Shen, Hao, 2019. "Passivity-based state synchronization for semi-Markov jump coupled chaotic neural networks with randomly occurring time delays," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 32-41.
    Full references (including those not matched with items on IDEAS)

    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. Vijayakumar, M. & Sakthivel, R. & Mohammadzadeh, Ardashir & Karthick, S.A. & Marshal Anthoni, S., 2021. "Proportional integral observer based tracking control design for Markov jump systems," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    2. Wang, Xi & Ju, Yamei & Ding, Derui & Liu, Hongjian, 2024. "Cooperative fault-tolerant tracking control for multi-agent systems: A multiple description encoding scheme," Applied Mathematics and Computation, Elsevier, vol. 462(C).
    3. Zhao, Yongshun & Li, Xiaodi & Cao, Jinde, 2020. "Global exponential stability for impulsive systems with infinite distributed delay based on flexible impulse frequency," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    4. Wu, Tianyu & Huang, Xia & Chen, Xiangyong & Wang, Jing, 2020. "Sampled-data H∞ exponential synchronization for delayed semi-Markov jump CDNs: A looped-functional approach," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    5. Cao, Yan & Zhou, Wei-Jie & Liu, Xiao-Zhen & Wu, Kai-Ning, 2024. "Passivity of fractional reaction-diffusion systems," Applied Mathematics and Computation, Elsevier, vol. 476(C).
    6. Wang, Le & Sun, Wei & Su, Shun-Feng, 2022. "Adaptive asymptotic tracking control for nonlinear systems with state constraints and input saturation," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    7. Aravinth, N. & Satheesh, T. & Sakthivel, R. & Ran, G. & Mohammadzadeh, A., 2023. "Input-output finite-time stabilization of periodic piecewise systems with multiple disturbances," Applied Mathematics and Computation, Elsevier, vol. 453(C).
    8. Liu, Shanlin & Niu, Ben & Zong, Guangdeng & Zhao, Xudong & Xu, Ning, 2022. "Adaptive fixed-time hierarchical sliding mode control for switched under-actuated systems with dead-zone constraints via event-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    9. Yoo, Sung Jin, 2021. "Decentralized event-triggered adaptive control of a class of uncertain interconnected nonlinear systems using local state feedback corrupted by unknown injection data," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    10. Yan, Yan & Wu, Libing & Yan, Weijun & Hu, Yuhan & Zhao, Nannan & Chen, Ming, 2022. "Finite-time event-triggered fault-tolerant control for a family of pure-feedback systems," Applied Mathematics and Computation, Elsevier, vol. 426(C).
    11. Wang, Yudong & Xia, Jianwei & Wang, Zhen & Shen, Hao, 2020. "Design of a fault-tolerant output-feedback controller for thickness control in cold rolling mills," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    12. Dai, Mingcheng & Huang, Zhengguo & Xia, Jianwei & Meng, Bo & Wang, Jian & Shen, Hao, 2019. "Non-fragile extended dissipativity-based state feedback control for 2-D Markov jump delayed systems," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    13. Yuan, Manman & Zhai, Junyong & Ye, Hui, 2022. "Adaptive output feedback control for a class of switched stochastic nonlinear systems via an event-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 422(C).
    14. Hu, Jun & Li, Jiaxing & Kao, Yonggui & Chen, Dongyan, 2022. "Optimal distributed filtering for nonlinear saturated systems with random access protocol and missing measurements: The uncertain probabilities case," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    15. Xia, Yude & Wang, Jing & Meng, Bo & Chen, Xiangyong, 2020. "Further results on fuzzy sampled-data stabilization of chaotic nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    16. Zhang, Xiaoli & Yi, Yang & Shen, Mouquan & Wang, Qin, 2022. "Event-triggered anti-disturbance tracking control for semi-Markovian jump systems with exogenous disturbances and input saturation," Applied Mathematics and Computation, Elsevier, vol. 424(C).
    17. Yin, Qitian & Wang, Mao & Jing, He, 2020. "Stabilizing backstepping controller design for arbitrarily switched complex nonlinear system," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    18. Zhai, Junchang & Wang, Huanqing & Qin, Yuping & Cui, Hongxia, 2025. "Estimation-based event-triggered fixed-time fuzzy tracking control for high-order nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 486(C).
    19. Kaviarasan, Boomipalagan & Kwon, Oh-Min & Park, Myeong Jin & Sakthivel, Rathinasamy, 2023. "Reduced-order filtering for semi-Markovian jump systems against randomly occurring false data injection attacks," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    20. Parivallal, A. & Sakthivel, R. & Amsaveni, R. & Alzahrani, Faris & Alshomrani, Ali Saleh, 2020. "Observer-based memory consensus for nonlinear multi-agent systems with output quantization and Markov switching topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:495:y:2025:i:c:s0096300325000633. 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.