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Adaptive Pinning Synchronization Control of the Fractional-Order Chaos Nodes in Complex Networks

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  • Darui Zhu
  • Ling Liu
  • Chongxin Liu

Abstract

Adaptive pinning synchronization control is studied for a class of fractional-order complex network systems which are constructed depending on small-world network algorithm. Based on the fractional-order stability theory, the suitable adaptive control scheme is designed to guarantee global asymptotic stability of all the nodes in complex network systems and the node selected algorithm is given. In numerical implementation, it is shown that the numerical solution of the fractional-order complex network systems can be obtained by applying an improved version of Adams-Bashforth-Moulton algorithm. Furthermore, simulation results are provided to confirm the validity and synchronization performance of the advocated design methodology.

Suggested Citation

  • Darui Zhu & Ling Liu & Chongxin Liu, 2014. "Adaptive Pinning Synchronization Control of the Fractional-Order Chaos Nodes in Complex Networks," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-7, May.
    • Handle: RePEc:hin:jnlmpe:936985
    DOI: 10.1155/2014/936985
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    Cited by:

    1. Serrano, Fernando E. & Ghosh, Dibakar, 2022. "Robust stabilization and synchronization in a network of chaotic systems with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).

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