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Outer Synchronization of Complex Networks with Nondelayed and Time‐Varying Delayed Couplings via Pinning Control or Impulsive Control

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  • Jianwen Feng
  • Sa Sheng
  • Ze Tang
  • Yi Zhao

Abstract

The outer synchronization problem between two complex networks with nondelayed and time‐varying delayed couplings via two different control schemes, namely, pinning control and impulsive control, is considered. Firstly, by applying pinning control to a fraction of the network nodes and using a suitable Lyapunov function, we obtain some new and useful synchronization criteria, which guarantee the outer synchronization between two complex networks. Secondly, impulsive control is added to the nodes of corresponding response network. Based on the generalized inequality about time‐varying delayed different equation, the sufficient conditions for outer synchronization are derived. Finally, some examples are presented to demonstrate the effectiveness and feasibility of the results obtained in this paper.

Suggested Citation

  • Jianwen Feng & Sa Sheng & Ze Tang & Yi Zhao, 2015. "Outer Synchronization of Complex Networks with Nondelayed and Time‐Varying Delayed Couplings via Pinning Control or Impulsive Control," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:414596
    DOI: 10.1155/2015/414596
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    References listed on IDEAS

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    1. Liu, Xiwei & Chen, Tianping, 2008. "Synchronization analysis for nonlinearly-coupled complex networks with an asymmetrical coupling matrix," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4429-4439.
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