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Pinning synchronization of weighted bipartite networks with time-varying delays via aperiodic intermittent control

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  • Shen, Yafei
  • Shi, Jinyao
  • Cai, Shuiming

Abstract

Bipartivity has been revealed as an important topological feature of many real networks. In this paper, we first propose a model of weighted bipartite networks with time-varying delays, where both internal delay and communication delay are incorporated, and meanwhile the delayed coupling contains only one single transmittal delay. Then we investigate its pinning synchronization problem via aperiodic intermittent control. By utilizing the Lyapunov functional method and mathematical induction, a generic global exponential synchronization criterion is established. Moreover, based on the theory of linear algebra, two easy verifiable low-dimensional synchronization conditions are obtained. It is shown that the network nodes with the highest degrees should be pinned successively. Finally, numerical simulations are given to verify the validity of the theoretical analysis.

Suggested Citation

  • Shen, Yafei & Shi, Jinyao & Cai, Shuiming, 2020. "Pinning synchronization of weighted bipartite networks with time-varying delays via aperiodic intermittent control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119319879
    DOI: 10.1016/j.physa.2019.123568
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    1. 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.
    2. Mingming Xu & Jin Zhou & Jun-an Lu & Xiaoqun Wu, 2015. "Synchronizability of two-layer networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(9), pages 1-6, September.
    3. Nacher, J.C. & Akutsu, T., 2011. "On the degree distribution of projected networks mapped from bipartite networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4636-4651.
    4. Zhou, Jiaying & Zhao, Yi & Wu, ZhaoYan, 2019. "Cluster synchronization of fractional-order directed networks via intermittent pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 22-33.
    5. Fabio Saracco & Riccardo Di Clemente & Andrea Gabrielli & Tiziano Squartini, 2015. "Detecting early signs of the 2007-2008 crisis in the world trade," Papers 1508.03533, arXiv.org, revised Jul 2016.
    6. Zheng, Song & Yuan, Liguo, 2019. "Nonperiodically intermittent pinning synchronization of complex-valued complex networks with non-derivative and derivative coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 587-605.
    7. Caldarelli, Guido & Catanzaro, Michele, 2004. "The corporate boards networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(1), pages 98-106.
    8. Zhou, Peipei & Cai, Shuiming & Jiang, Shengqin & Liu, Zengrong, 2018. "Exponential cluster synchronization in directed community networks via adaptive nonperiodically intermittent pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1267-1280.
    9. Wang, Xiao Fan & Chen, Guanrong, 2002. "Pinning control of scale-free dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 310(3), pages 521-531.
    10. Serguei Saavedra & Felix Reed-Tsochas & Brian Uzzi, 2009. "A simple model of bipartite cooperation for ecological and organizational networks," Nature, Nature, vol. 457(7228), pages 463-466, January.
    11. 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.
    12. 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.
    13. Zhou, Peipei & Shen, Yafei & Cai, Shuiming, 2019. "Nonperiodic intermittent control for pinning synchronization of directed dynamical networks with internal delay and hybrid coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
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    Cited by:

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    4. Ning, Di & Chen, Juan & Jiang, Meiying, 2022. "Pinning impulsive synchronization of two-layer heterogeneous delayed networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).

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