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Adaptive synchronization of weighted complex dynamical networks through pinning

Author

Listed:
  • L. Wang
  • H. P. Dai
  • H. Dong
  • Y. Y. Cao
  • Y. X. Sun

Abstract

This paper considers the problem of controlling weighted complex dynamical networks by applying adaptive control to a fraction of network nodes. We investigate the local and global synchronization of the controlled dynamical network through the construction of a master stability function and a Lyapunov function. Analytical results show that a certain number of nodes can be controlled by using adaptive pinning to ensure the synchronization of the entire network. We present numerical simulations to verify the effectiveness of the proposed scheme. In comparison with feedback pinning, the proposed pinning control scheme is robust when tested by noise, different weighting and coupling structures, and time delays. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Suggested Citation

  • L. Wang & H. P. Dai & H. Dong & Y. Y. Cao & Y. X. Sun, 2008. "Adaptive synchronization of weighted complex dynamical networks through pinning," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 61(3), pages 335-342, February.
    • Handle: RePEc:spr:eurphb:v:61:y:2008:i:3:p:335-342
    DOI: 10.1140/epjb/e2008-00081-5
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    Cited by:

    1. Rajchakit, G. & Sriraman, R. & Vignesh, P. & Lim, C.P., 2021. "Impulsive effects on Clifford-valued neural networks with time-varying delays: An asymptotic stability analysis," Applied Mathematics and Computation, Elsevier, vol. 407(C).
    2. Wang, Jin-Liang & Wu, Huai-Ning, 2011. "Stability analysis of impulsive parabolic complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 44(11), pages 1020-1034.

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