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Pinning synchronization of discrete dynamical networks with delay coupling

Author

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  • Cheng, Ranran
  • Peng, Mingshu
  • Zuo, Jun

Abstract

The purpose of this paper is to investigate the pinning synchronization analysis for nonlinear coupled delayed discrete dynamical networks with the identical or nonidentical topological structure. Based on the Lyapunov stability theory, pinning control method and linear matrix inequalities, several adaptive synchronization criteria via two kinds of pinning control method are obtained. Two examples based on Rulkov chaotic system are included to illustrate the effectiveness and verification of theoretical analysis.

Suggested Citation

  • Cheng, Ranran & Peng, Mingshu & Zuo, Jun, 2016. "Pinning synchronization of discrete dynamical networks with delay coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 444-453.
    • Handle: RePEc:eee:phsmap:v:450:y:2016:i:c:p:444-453
    DOI: 10.1016/j.physa.2016.01.004
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    References listed on IDEAS

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    1. Xiang, L.Y. & Liu, Z.X. & Chen, Z.Q. & Chen, F. & Yuan, Z.Z., 2007. "Pinning control of complex dynamical networks with general topology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 298-306.
    2. Wu, Zhaoyan, 2015. "Synchronization of discrete dynamical networks with non-delayed and delayed coupling," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 57-62.
    3. Liu, Z.X. & Chen, Z.Q. & Yuan, Z.Z., 2007. "Pinning control of weighted general complex dynamical networks with time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(1), pages 345-354.
    4. Cheng, Ranran & Peng, Mingshu & Yu, Weibin, 2014. "Pinning synchronization of delayed complex dynamical networks with nonlinear coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 426-431.
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