IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v536y2019ics0378437119314712.html
   My bibliography  Save this article

Partial component consensus of leader-following multi-agent systems via intermittent pinning control

Author

Listed:
  • Zhang, Zhicheng
  • Ma, Zhongjun
  • Wang, Yi

Abstract

Partial component consensus means that some components of all state variables in a multi-agent system tend to be convergence as time tends to be infinite. It is a dynamics behavior that is weaker than identical consensus. In this paper, partial component consensus of nonlinear multi-agent systems via intermittent pinning control is investigated for the first time, and the intermittent signal can be aperiodic. With the help of permutation matrix method, the corresponding error system is reduced to a new error system. Then, partial component consensus in the multi-agent system is converted into the stability of the new error system with respect to partial variables. Based on matrix theory, graph theory and stability theory of partial variables, some sufficient conditions to guarantee exponential partial component consensus are derived. Finally, numerical simulations are shown to demonstrate correctness of the theoretical results.

Suggested Citation

  • Zhang, Zhicheng & Ma, Zhongjun & Wang, Yi, 2019. "Partial component consensus of leader-following multi-agent systems via intermittent pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    • Handle: RePEc:eee:phsmap:v:536:y:2019:i:c:s0378437119314712
    DOI: 10.1016/j.physa.2019.122569
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119314712
    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.2019.122569?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. Yihan Fan & Hongmei Liu & Jun Mei, 2015. "Semiglobal Finite-Time Synchronization of Complex Dynamical Networks via Periodically Intermittent Control," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-12, May.
    2. He, Xiaoyan & Hao, Yuqing & Wang, Qingyun, 2019. "Leaderless finite-time consensus for second-order Lipschitz nonlinear multi-agent systems with settling time estimation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 280-289.
    3. Li, Fengbing & Ma, Zhongjun & Duan, Qichang, 2019. "Partial component synchronization on chaotic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 707-714.
    4. Wu, Zhaoyan & Fu, Xinchu, 2012. "Cluster projective synchronization between community networks with nonidentical nodes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6190-6198.
    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. Hu, Wenjun & Zhang, Wen & Ma, Zhongjun & Li, Kezan, 2022. "Partial component consensus analysis of second-order and third-order nonlinear multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    2. Wang, Boyu & Zhang, Yijun & Wei, Miao, 2023. "Fixed-time leader-following consensus of multi-agent systems with intermittent control," Applied Mathematics and Computation, Elsevier, vol. 438(C).
    3. Zhaolei Yan & Baibin Yang & Manman Luo & Manfeng Hu, 2024. "Finite-Time Partial Component Consensus for Nonlinear Leader-Following Multi-Agent Systems," Mathematics, MDPI, vol. 12(22), pages 1-16, November.

    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. Leng, Hui & Wu, Zhaoyan, 2019. "Impulsive synchronization of complex-variable network with distributed time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    2. Wang, Fei & Yang, Yongqing & Hu, Manfeng & Xu, Xianyun, 2015. "Projective cluster synchronization of fractional-order coupled-delay complex network via adaptive pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 134-143.
    3. Yan, Jiaye & Zhou, Jiaying & Wu, Zhaoyan, 2019. "Structure identification of unknown complex-variable dynamical networks with complex coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 256-265.
    4. Jianbao Zhang & Yi Wang & Zhongjun Ma & Jianlong Qiu & Fawaz Alsaadi, 2018. "Intermittent Control for Cluster-Delay Synchronization in Directed Networks," Complexity, Hindawi, vol. 2018, pages 1-9, February.
    5. Cai, Shuiming & Zhou, Feilong & He, Qinbin, 2019. "Fixed-time cluster lag synchronization in directed heterogeneous community networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 128-142.
    6. Wang, Mengchen & Lu, Xiaowen & Yang, Qi & Ma, Zhongjun & Cheng, Jun & Li, Kezan, 2022. "Pinning control of successive lag synchronization on a dynamical network with noise perturbation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    7. Li, Fengbing & Ma, Zhongjun & Duan, Qichang, 2019. "Clustering component synchronization in a class of unconnected networks via pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 394-401.
    8. Liu, Yifan & Su, Housheng, 2019. "Containment control of second-order multi-agent systems via intermittent sampled position data communication," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    9. Fan, Hongguang & Shi, Kaibo & Zhao, Yi, 2022. "Pinning impulsive cluster synchronization of uncertain complex dynamical networks with multiple time-varying delays and impulsive effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    10. Ma, Mihua & Cai, Jianping & Zhang, Hua, 2019. "Quasi-synchronization of Lagrangian networks with parameter mismatches and communication delays via aperiodically intermittent pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1146-1160.
    11. Jie Liu & Jian-Ping Sun, 2024. "Clustering Component Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control," Mathematics, MDPI, vol. 12(7), pages 1-17, March.
    12. Hu, Cheng & Yu, Juan, 2016. "Generalized intermittent control and its adaptive strategy on stabilization and synchronization of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 262-269.
    13. Ding, Dawei & Yan, Jie & Wang, Nian & Liang, Dong, 2017. "Pinning synchronization of fractional order complex-variable dynamical networks with time-varying coupling," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 41-50.
    14. Hu, Wenjun & Zhang, Wen & Ma, Zhongjun & Li, Kezan, 2022. "Partial component consensus analysis of second-order and third-order nonlinear multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    15. Liu, Lingfeng & Miao, Suoxia, 2018. "Outer synchronization between delayed coupling networks with different dynamics and uncertain parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 890-901.
    16. Yang, Lixin & Jiang, Jun & Liu, Xiaojun, 2016. "Cluster synchronization in community network with hybrid coupling," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 82-91.
    17. Liu, Bin & Yang, Meng & Xu, Bo & Zhang, Guohua, 2021. "Exponential stabilization of continuous-time dynamical systems via time and event triggered aperiodic intermittent control," Applied Mathematics and Computation, Elsevier, vol. 398(C).
    18. Ye, Sufen & Zhang, Luoping & Feng, Huan, 2020. "Ecosystem intrinsic value and its evaluation," Ecological Modelling, Elsevier, vol. 430(C).

    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:536:y:2019:i:c:s0378437119314712. 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.