IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v528y2019ics037843711930593x.html
   My bibliography  Save this article

Finite-time synchronization of a class of nonlinear complex-valued networks with time-varying delays

Author

Listed:
  • Zhang, Chuan
  • Wang, Xingyuan
  • Unar, Salahuddin
  • Wang, Yu

Abstract

This paper focuses on the problem of finite-time synchronization for a class of nonlinear complex-valued networks with time-varying delays. A novel model is proposed to generalize the previous works. The nonlinear couplings, time-varying node delay and multiple time-varying coupling delays are considered; all the variables and parameters in this model are considered as complex values. By decomposing the network model to real and imaginary parts, an equivalent real-valued system is built. Then, by utilizing the linear feedback controllers, synchronization is achieved in a given finite time rather than merely asymptotically synchronize. Based on the finite-time stability theory, Lyapunov functional method and some mathematical analysis techniques, sufficient conditions are strictly established to ensure the finite-time synchronization, the main results can be also extended to the networks without node delay or coupling delays. At last, examples are provided in details to demonstrate our results.

Suggested Citation

  • Zhang, Chuan & Wang, Xingyuan & Unar, Salahuddin & Wang, Yu, 2019. "Finite-time synchronization of a class of nonlinear complex-valued networks with time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 528(C).
    • Handle: RePEc:eee:phsmap:v:528:y:2019:i:c:s037843711930593x
    DOI: 10.1016/j.physa.2019.04.221
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843711930593X
    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.2019.04.221?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Xiong, Kailong & Yu, Juan & Hu, Cheng & Wen, Shiping & Kong, Fanchao, 2024. "Nonseparation analysis-based finite/fixed-time synchronization of fully complex-valued impulsive dynamical networks," Applied Mathematics and Computation, Elsevier, vol. 467(C).
    2. Iswarya, M. & Raja, R. & Cao, J. & Niezabitowski, M. & Alzabut, J. & Maharajan, C., 2022. "New results on exponential input-to-state stability analysis of memristor based complex-valued inertial neural networks with proportional and distributed delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 440-461.
    3. Enli Wu & Yao Wang & Yundong Li & Kelin Li & Fei Luo, 2023. "Fixed-Time Synchronization of Complex-Valued Coupled Networks with Hybrid Perturbations via Quantized Control," Mathematics, MDPI, vol. 11(18), pages 1-18, September.

    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:528:y:2019:i:c:s037843711930593x. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.