IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v522y2019icp147-157.html
   My bibliography  Save this article

Event-triggered consensus of multi-agent systems with nonlinear dynamics and communication delay

Author

Listed:
  • Wang, Yangling
  • Cao, Jinde
  • Wang, Haijun
  • Alsaadi, Fuad E.

Abstract

This paper investigates the leader-following consensus of multi-agent systems with nonlinear inherent dynamics and time delays via event-triggered control and pinning control methods. The communication topology among the agents is characterized by a directed graph containing a spanning tree with the leader agent as the root. Based on measurement errors and an exponential decay function, we propose a novel event triggering rule which can not only avoid the continuous communication, but also exclude the Zeno-behavior. Moreover, each agent is required to be triggered only at its own triggering time instants. By using the properties of M−matrix and Lyapunov–Krasovskii functional method, we derive some sufficient leader-following consensus criteria in forms of LMIs. An example is presented to show the effectiveness of the theoretical results obtained in this paper.

Suggested Citation

  • Wang, Yangling & Cao, Jinde & Wang, Haijun & Alsaadi, Fuad E., 2019. "Event-triggered consensus of multi-agent systems with nonlinear dynamics and communication delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 147-157.
    • Handle: RePEc:eee:phsmap:v:522:y:2019:i:c:p:147-157
    DOI: 10.1016/j.physa.2019.01.124
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119301311
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2019.01.124?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, Shouxu & Xie, Duosi & Yan, Weisheng, 2017. "Decentralized event-triggered consensus control strategy for leader–follower networked systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 498-508.
    2. Hu, Aihua & Cao, Jinde & Hu, Manfeng & Guo, Liuxiao, 2015. "Cluster synchronization of complex networks via event-triggered strategy under stochastic sampling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 99-110.
    3. Dong, Tao & Wang, Aijuan & Zhu, Huiyun & Liao, Xiaofeng, 2018. "Event-triggered synchronization for reaction–diffusion complex networks via random sampling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 454-462.
    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. Cai, Yuliang & Zhang, Huaguang & Liu, Yang & He, Qiang, 2020. "Distributed bipartite finite-time event-triggered output consensus for heterogeneous linear multi-agent systems under directed signed communication topology," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    2. Gao, Meng & Zhang, Lihua & Qi, Wenhai & Cao, Jinde & Cheng, Jun & Kao, Yonggui & Wei, Yunliang & Yan, Xiaoyu, 2020. "SMC for semi-Markov jump T-S fuzzy systems with time delay," Applied Mathematics and Computation, Elsevier, vol. 374(C).
    3. Zhang, Juan & Zhang, Huaguang & Li, Weihua & Li, Keqin, 2021. "Distributed edge-event triggered consensus control for multi-agent systems by edge-based asynchronous communications," Applied Mathematics and Computation, Elsevier, vol. 397(C).

    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. Wang, Aijuan & Liao, Xiaofeng & Dong, Tao, 2018. "Finite-time event-triggered synchronization for reaction–diffusion complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 111-120.
    2. Luo, Yiping & Yao, Yuejie & Cheng, Zifeng & Xiao, Xing & Liu, Hanyu, 2021. "Event-triggered control for coupled reaction–diffusion complex network systems with finite-time synchronization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    3. Liu, Xiaonan & Kao, Yonggui, 2021. "Aperiodically intermittent pinning outer synchronization control for delayed complex dynamical networks with reaction-diffusion terms," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    4. Dong, Tao & Wang, Aijuan & Zhu, Huiyun & Liao, Xiaofeng, 2018. "Event-triggered synchronization for reaction–diffusion complex networks via random sampling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 454-462.
    5. Jian, Long & Hu, Jiangping & Wang, Jun & Shi, Kaibo, 2019. "Observer-based output feedback distributed event-triggered control for linear multi-agent systems under general directed graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    6. 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.
    7. Li, Xuechen & Wang, Nan & Lu, Jianquan & Alsaadi, Fuad E., 2019. "Pinning outer synchronization of partially coupled dynamical networks with complex inner coupling matrices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 497-509.
    8. Abulajiang Aili & Shenglong Chen & Sibao Zhang, 2024. "Event-Triggered Synchronization of Coupled Neural Networks with Reaction–Diffusion Terms," Mathematics, MDPI, vol. 12(9), pages 1-16, May.
    9. Yue, Dandan & Guan, Zhi-Hong & Li, Tao & Liao, Rui-Quan & Liu, Feng & Lai, Qiang, 2017. "Event-based cluster synchronization of coupled genetic regulatory networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 649-665.
    10. Guo, Xing & Lu, Jianquan & Alsaedi, Ahmed & Alsaadi, Fuad E., 2018. "Bipartite consensus for multi-agent systems with antagonistic interactions and communication delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 488-497.

    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:phsmap:v:522:y:2019:i:c:p:147-157. 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: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.