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Pinning Controllability Scheme of Directed Complex Delayed Dynamical Networks via Periodically Intermittent Control

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  • Shaolin Li
  • Jinde Cao
  • Yinghui He

Abstract

This paper studies the pinning controllability of directed complex delayed dynamical networks by using periodic intermittent control scheme. The general and low‐dimensional pinning synchronization criteria are derived to illustrate the design of periodic intermittent control scheme. According to our low‐dimensional pinning criterion, especially, the constraint condition of coupling strength is obtained when the network structure and amounts of pinned nodes are fixed. An algorithm is presented to determine the amounts of periodically intermittent controllers and locate these intermittent controllers in a directed network, in which the significance of nodes out‐ (in‐) degree in pinning control of complex network is also illustrated. Finally, a directed network consisting of 12 coupled delayed Chua oscillators is designed as numerical example to verify the effectiveness of the theoretical analysis.

Suggested Citation

  • Shaolin Li & Jinde Cao & Yinghui He, 2016. "Pinning Controllability Scheme of Directed Complex Delayed Dynamical Networks via Periodically Intermittent Control," Discrete Dynamics in Nature and Society, John Wiley & Sons, vol. 2016(1).
    • Handle: RePEc:wly:jnddns:v:2016:y:2016:i:1:n:1585928
    DOI: 10.1155/2016/1585928
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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.
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