IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v525y2019icp680-693.html
   My bibliography  Save this article

Agreement coordination of fractional-order multi-agent systems with reaction–diffusion and persistent disturbances

Author

Listed:
  • Yuan, Xiaolin
  • Mo, Lipo
  • Yu, Yongguang

Abstract

Agreement coordination problem of fractional-order multi-agent systems (FOMASs) with reaction–diffusion term and unknown persistent external disturbances is mainly investigated in this paper. Firstly, based on the output information, some estimators are designed to obtain the information of all agents and unknown persistent external disturbances, and a novel distributed control protocol is designed. And then, the convergence analysis of the closed-loop system is finished by using the theories of algebraic graph and Mittag-Leffler stability, and some sufficient consensus matrix inequalities conditions are deduced. Finally, the effectiveness of the obtained results are verified by several simulations.

Suggested Citation

  • Yuan, Xiaolin & Mo, Lipo & Yu, Yongguang, 2019. "Agreement coordination of fractional-order multi-agent systems with reaction–diffusion and persistent disturbances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 680-693.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:680-693
    DOI: 10.1016/j.physa.2019.03.063
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119302985
    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.2019.03.063?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. Jing Bai & Guoguang Wen & Ahmed Rahmani & Yongguang Yu, 2015. "Distributed formation control of fractional-order multi-agent systems with absolute damping and communication delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(13), pages 2380-2392, October.
    2. Mo, Lipo & Yuan, Xiaolin & Yu, Yongguang, 2018. "Target-encirclement control of fractional-order multi-agent systems with a leader," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 479-491.
    3. Wang, Fei & Yang, Yongqing, 2017. "Leader-following exponential consensus of fractional order nonlinear multi-agents system with hybrid time-varying delay: A heterogeneous impulsive method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 158-172.
    4. Mo, Lipo & Niu, Yuguang & Pan, Tingting, 2015. "Consensus of heterogeneous multi-agent systems with switching jointly-connected interconnection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 132-140.
    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. Yuan, Xiaolin & Mo, Lipo & Yu, Yongguang, 2022. "Corrections for “Agreement coordination of fractional- order multi-agent systems with reaction–diffusion and persistent disturbances”," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(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. Zhang, Xuxi & Liu, Xianping & Lewis, Frank L. & Wang, Xia, 2020. "Bipartite tracking consensus of nonlinear multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    2. Jing Bai & Yongguang Yu, 2018. "Neural Networks Based Adaptive Consensus for a Class of Fractional-Order Uncertain Nonlinear Multiagent Systems," Complexity, Hindawi, vol. 2018, pages 1-10, November.
    3. Rihan, F.A. & Al-Mdallal, Q.M. & AlSakaji, H.J. & Hashish, A., 2019. "A fractional-order epidemic model with time-delay and nonlinear incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 97-105.
    4. Mo, Lipo & Yuan, Xiaolin & Yu, Yongguang, 2018. "Target-encirclement control of fractional-order multi-agent systems with a leader," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 479-491.
    5. Zhang, Lingzhong & Yang, Yongqing & Xu, Xianyun, 2018. "Synchronization analysis for fractional order memristive Cohen–Grossberg neural networks with state feedback and impulsive control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 644-660.
    6. Sui, Xin & Yang, Yongqing & Zhang, Shuai, 2019. "Leader-following consensus of multi-agent systems with randomly varying nonlinearities and stochastic disturbances under directed switching topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 524-534.
    7. Ardak Kashkynbayev & Fathalla A. Rihan, 2021. "Dynamics of Fractional-Order Epidemic Models with General Nonlinear Incidence Rate and Time-Delay," Mathematics, MDPI, vol. 9(15), pages 1-16, August.
    8. Liu, Jianjun & Zhai, Rui & Liu, Yuhan & Li, Wenliang & Wang, Bingzhe & Huang, Liyuan, 2021. "A quasi fractional order gradient descent method with adaptive stepsize and its application in system identification," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    9. Feifei Wang & Diyi Chen & Xinguang Zhang & Yonghong Wu, 2017. "Finite-time stability of a class of nonlinear fractional-order system with the discrete time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(5), pages 984-993, April.

    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:525:y:2019:i:c:p:680-693. 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.