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Control of Synchronization and Stability for Nonlinear Complex Dynamical Networks with Different Dimensional Similar Nodes and Coupling Time-Varying Delay

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  • Luo Yi-ping
  • Luo Xin
  • Deng Fei
  • Hu Jun-qiang

Abstract

This paper discusses the stability and synchronization for the nonlinear coupled complex networks with different dimensional nodes, and the external coupling satisfies the condition of dissipation. The definition of synchronization of the complex dynamical networks is proposed as the manifold. By Lyapunov stability theorem, the decentralized controllers with similar parameters are designed to synchronize such dynamical networks asymptotically in which the characteristics are variable delayed. Finally, a numerical example is given to illustrate the effectiveness of the designed method.

Suggested Citation

  • Luo Yi-ping & Luo Xin & Deng Fei & Hu Jun-qiang, 2015. "Control of Synchronization and Stability for Nonlinear Complex Dynamical Networks with Different Dimensional Similar Nodes and Coupling Time-Varying Delay," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-6, October.
    • Handle: RePEc:hin:jnlmpe:271759
    DOI: 10.1155/2015/271759
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