IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v46y2015i13p2380-2392.html
   My bibliography  Save this article

Distributed formation control of fractional-order multi-agent systems with absolute damping and communication delay

Author

Listed:
  • Jing Bai
  • Guoguang Wen
  • Ahmed Rahmani
  • Yongguang Yu

Abstract

The distributed formation control of fractional-order multi-agent systems is mainly studied under directed interaction topology in this paper. First, the control algorithm with absolute damping and communication delay is proposed to achieve the formation control. Then, some sufficient conditions are derived by using the matrix theory, graph theory and the frequency-domain analysis method. Finally, based on the numerical method of predictor–corrector, several simulations are presented to illustrate the effectiveness of the obtained results.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:13:p:2380-2392
    DOI: 10.1080/00207721.2014.998411
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2014.998411
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2014.998411?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. Christophe Tricaud & YangQuan Chen, 2010. "Time-Optimal Control of Systems with Fractional Dynamics," International Journal of Differential Equations, Hindawi, vol. 2010, pages 1-16, February.
    2. Zhengquan Yang & Qing Zhang & Zuolian Jiang & Zengqiang Chen, 2012. "Flocking of multi-agents with time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(11), pages 2125-2134.
    3. K.R. Guruprasad & Debasish Ghose, 2013. "Performance of a class of multi-robot deploy and search strategies based on centroidal voronoi configurations," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(4), pages 680-699.
    4. Hongjie Li, 2012. "Observer-Type Consensus Protocol for a Class of Fractional-Order Uncertain Multiagent Systems," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, October.
    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. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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).

    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. Jing Bai & Guoguang Wen & Ahmed Rahmani & Xing Chu & Yongguang Yu, 2016. "Consensus with a reference state for fractional-order multi-agent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(1), pages 222-234, January.
    2. Sun, Fenglan & Wang, Rui & Zhu, Wei & Li, Yongfu, 2019. "Flocking in nonlinear multi-agent systems with time-varying delay via event-triggered control," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 66-77.
    3. Jun Liu & Wei Chen & Kaiyu Qin & Ping Li, 2018. "Consensus of Multi-Integral Fractional-Order Multiagent Systems with Nonuniform Time-Delays," Complexity, Hindawi, vol. 2018, pages 1-24, November.
    4. Muñoz-Vázquez, Aldo Jonathan & Sánchez-Torres, Juan Diego & Defoort, Michael & Boulaaras, Salah, 2021. "Predefined-time convergence in fractional-order systems," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    5. Fu, Peng & Wang, Can-Jun & Yang, Ke-Li & Li, Xu-Bo & Yu, Biao, 2022. "Reentrance-like vibrational resonance in a fractional-order birhythmic biological system," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    6. Iyiola, Olaniyi & Oduro, Bismark & Akinyemi, Lanre, 2021. "Analysis and solutions of generalized Chagas vectors re-infestation model of fractional order type," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    7. Mathiyalagan, Kalidass & Sangeetha, G., 2020. "Second-order sliding mode control for nonlinear fractional-order systems," Applied Mathematics and Computation, Elsevier, vol. 383(C).
    8. Mircea Ivanescu & Ioan Dumitrache & Nirvana Popescu & Decebal Popescu, 2021. "Control Techniques for a Class of Fractional Order Systems," Mathematics, MDPI, vol. 9(19), pages 1-17, September.
    9. Juan J. Gude & Pablo García Bringas, 2022. "A Novel Control Hardware Architecture for Implementation of Fractional-Order Identification and Control Algorithms Applied to a Temperature Prototype," Mathematics, MDPI, vol. 11(1), pages 1-40, December.
    10. Zhang, Yanlin & Deng, Shengfu, 2019. "Finite-time projective synchronization of fractional-order complex-valued memristor-based neural networks with delay," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 176-190.

    More about this item

    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:taf:tsysxx:v:46:y:2015:i:13:p:2380-2392. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TSYS20 .

    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.