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H∞‐Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays

Author

Listed:
  • Bowen Du
  • Dianfu Ma

Abstract

This paper investigates the synchronization of complex dynamical networks with coupling delays and external disturbances by applying local feedback injections to a small fraction of nodes in the whole network. Based on H∞ control theory, some delay‐independent and ‐dependent synchronization criteria with a prescribed H∞ disturbances attenuation index are derived for such controlled networks in terms of linear matrix inequalities (LMIs), which guarantee that by placing a small number of feedback controllers on some nodes, the whole network can be pinned to reach network synchronization. A simulation example is included to validate the theoretical results.

Suggested Citation

  • Bowen Du & Dianfu Ma, 2013. "H∞‐Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:275205
    DOI: 10.1155/2013/275205
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    References listed on IDEAS

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