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Adaptive Synchronization of Complex Networks with Mixed Probabilistic Coupling Delays via Pinning Control

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  • Jian-An Wang

Abstract

The problem of synchronization for a class of complex networks with probabilistic time-varying coupling delay and distributed time-varying coupling delay (mixed probabilistic time-varying coupling delays) using pinning control is investigated in this paper. The coupling configuration matrices are not assumed to be symmetric or irreducible. By adding adaptive feedback controllers to a small fraction of network nodes, a low-dimensional pinning sufficient condition is obtained, which can guarantee that the network asymptotically synchronizes to a homogenous trajectory in mean square sense. Simultaneously, two simple pinning synchronization criteria are derived from the proposed condition. Numerical simulation is provided to verify the effectiveness of the theoretical results.

Suggested Citation

  • Jian-An Wang, 2014. "Adaptive Synchronization of Complex Networks with Mixed Probabilistic Coupling Delays via Pinning Control," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-9, July.
    • Handle: RePEc:hin:jnljam:742956
    DOI: 10.1155/2014/742956
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