IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v600y2022ics0378437122004046.html
   My bibliography  Save this article

Bipartite synchronization of coupled delayed neural networks with cooperative-competitive interaction via event-triggered control

Author

Listed:
  • Zhu, Sha
  • Bao, Haibo
  • Cao, Jinde

Abstract

In this paper, the issue of bipartite synchronization for coupled delayed neural networks (CDNNs) with cooperative-competitive interaction is firstly investigated via event-triggered control (ETC) mechanism, which greatly reduces communication bandwidth and computational burden. Firstly, in virtue of the signed graph theory, the model of CDNNs with cooperative-competitive interaction is established. Next, under the designed event-triggered controller, statical event-triggered control (SETC) condition and dynamical event-triggered control (DETC) condition for realizing bipartite synchronization of CDNNs are derived separately by utilizing Lyapunov functional method. Furthermore, an algebraic formula is provided to calculate the positive lower bound of the trigger interval, which indicates that Zeno-behavior does not arise. At last, the feasibility of the proffered ETC to realize bipartite synchronization is further demonstrated by an illustrative example.

Suggested Citation

  • Zhu, Sha & Bao, Haibo & Cao, Jinde, 2022. "Bipartite synchronization of coupled delayed neural networks with cooperative-competitive interaction via event-triggered control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).
    • Handle: RePEc:eee:phsmap:v:600:y:2022:i:c:s0378437122004046
    DOI: 10.1016/j.physa.2022.127586
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437122004046
    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.2022.127586?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. Cui-Qin Ma & Wei-Guo Sun, 2018. "Bipartite Consensus for Multiagent Systems via Event-Based Control," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-8, October.
    2. Bernardo A. Huberman & Lada A. Adamic, 1999. "Growth dynamics of the World-Wide Web," Nature, Nature, vol. 401(6749), pages 131-131, September.
    Full references (including those not matched with items on IDEAS)

    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. Li, Xinna & Wu, Huaiqin & Cao, Jinde, 2023. "Prescribed-time synchronization in networks of piecewise smooth systems via a nonlinear dynamic event-triggered control strategy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 647-668.
    2. Sodam Baek & Kibae Kim & Jorn Altmann, 2014. "Role of Platform Providers in Service Networks: The Case of Salesforce.com AppExchange," TEMEP Discussion Papers 2014112, Seoul National University; Technology Management, Economics, and Policy Program (TEMEP), revised May 2014.
    3. Zhang, Wanli & Yang, Xinsong & Yang, Shiju & Alsaedi, Ahmed, 2021. "Finite-time and fixed-time bipartite synchronization of complex networks with signed graphs," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 319-329.
    4. Andrea Bonaccorsi & Maurizio Martinelli & Cristina Rossi & Irma Serrecchia, 2002. "Measuring and modelling Internet diffusion using second level domains: the case of Italy," LEM Papers Series 2002/17, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    5. Stipic, Dorian & Bradac, Mislav & Lipic, Tomislav & Podobnik, Boris, 2021. "Effects of quarantine disobedience and mobility restrictions on COVID-19 pandemic waves in dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    6. Wang, Junjie & Zhou, Shuigeng & Guan, Jihong, 2011. "Characteristics of real futures trading networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 398-409.
    7. Chen, Qinghua & Chen, Shenghui, 2007. "A highly clustered scale-free network evolved by random walking," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 773-781.
    8. Zhou, Ya & Wan, Xiaoxiao & Huang, Chuangxia & Yang, Xinsong, 2020. "Finite-time stochastic synchronization of dynamic networks with nonlinear coupling strength via quantized intermittent control," Applied Mathematics and Computation, Elsevier, vol. 376(C).
    9. Liu, Chen & Wang, Jiang & Yu, Haitao & Deng, Bin & Wei, Xile & Sun, Jianbing & Chen, Yingyuan, 2013. "The effects of time delay on the synchronization transitions in a modular neuronal network with hybrid synapses," Chaos, Solitons & Fractals, Elsevier, vol. 47(C), pages 54-65.
    10. Madeleine Akrich, 2012. "Les listes de discussion comme communautés en ligne : outils de description et méthodes d’analyse," CSI Working Papers Series 025, Centre de Sociologie de l'Innovation (CSI), Mines ParisTech.
    11. Ikeda, N., 2007. "Network formed by traces of random walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 701-713.
    12. Li, Hong-Li & Hu, Cheng & Jiang, Yao-Lin & Wang, Zuolei & Teng, Zhidong, 2016. "Pinning adaptive and impulsive synchronization of fractional-order complex dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 142-149.
    13. Laurie A. Schintler & Aura Reggiani & Rajendra Kulkarni & Peter Nijkamp, 2003. "Scale-Free Phenomena in Communication Networks: A Cross-Atlantic Comparison," ERSA conference papers ersa03p436, European Regional Science Association.
    14. Chrysanthos Dellarocas & Zsolt Katona & William Rand, 2013. "Media, Aggregators, and the Link Economy: Strategic Hyperlink Formation in Content Networks," Management Science, INFORMS, vol. 59(10), pages 2360-2379, October.
    15. Liu, Feng & Shan, Xiuming & Ren, Yong & Zhang, Jun, 2003. "Phase transition and 1/f noise in a computer network model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 328(3), pages 341-350.
    16. Dorogovtsev, S.N. & Mendes, J.F.F. & Oliveira, J.G., 2006. "Frequency of occurrence of numbers in the World Wide Web," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 548-556.
    17. Aaron Gerow & Mark Keane, 2012. "Mining the Web for the Voice of the Herd to Track Stock Market Bubbles," Papers 1212.2676, arXiv.org.
    18. Arenas, Alex & Diaz-Guilera, Albert & Perez, Conrad J. & Vega-Redondo, Fernando, 2002. "Self-organized criticality in evolutionary systems with local interaction," Journal of Economic Dynamics and Control, Elsevier, vol. 26(12), pages 2115-2142, October.
    19. Stuart McDonald & Mohamad Alghamdi & Bernard Pailthorpe, 2012. "The Emergence of a Small World in a Network of Research Joint Ventures," Discussion Papers Series 469, School of Economics, University of Queensland, Australia.
    20. Massimo Riccaboni & Alessandro Rossi & Stefano Schiavo, 2013. "Global networks of trade and bits," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 8(1), pages 33-56, 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:600:y:2022:i:c:s0378437122004046. 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.