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-Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays

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  • 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 control theory, some delay-independent and -dependent synchronization criteria with a prescribed 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. "-Based Pinning Synchronization of General Complex Dynamical Networks with Coupling Delays," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-8, May.
    • Handle: RePEc:hin:jnljam:275205
    DOI: 10.1155/2013/275205
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