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Pinning synchronization of linearly coupled delayed neural networks

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  • Song, Qiang
  • Cao, Jinde
  • Liu, Fang

Abstract

Without assuming the symmetry or irreducibility of the coupling configuration matrices, this paper investigates the pinning synchronization in an array of linearly coupled delayed neural networks with both constant and delayed couplings. Under some low-dimensional conditions, it is shown that the network can be pinned to a homogenous state by applying adaptive feedback control actions to a small fraction of network nodes. In particular, the paper addresses how to determine a set of pinned nodes for a linearly coupled delayed neural network model with fixed coupling matrices and strengths. Numerical simulations are given to verify the theoretical analysis.

Suggested Citation

  • Song, Qiang & Cao, Jinde & Liu, Fang, 2012. "Pinning synchronization of linearly coupled delayed neural networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 86(C), pages 39-51.
    • Handle: RePEc:eee:matcom:v:86:y:2012:i:c:p:39-51
    DOI: 10.1016/j.matcom.2011.07.008
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    References listed on IDEAS

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    1. Sun, Changyin & Feng, Chun-Bo, 2004. "Exponential periodicity and stability of delayed neural networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 66(6), pages 469-478.
    2. Wang, Xiao Fan & Chen, Guanrong, 2002. "Pinning control of scale-free dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 310(3), pages 521-531.
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    Cited by:

    1. T. Botmart & N. Yotha & P. Niamsup & W. Weera, 2017. "Hybrid Adaptive Pinning Control for Function Projective Synchronization of Delayed Neural Networks with Mixed Uncertain Couplings," Complexity, Hindawi, vol. 2017, pages 1-18, August.
    2. Garza-González, E. & Posadas-Castillo, C. & López-Mancilla, D. & Soriano-Sánchez, A.G., 2020. "Increasing synchronizability in a scale-free network via edge elimination," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 174(C), pages 233-243.
    3. Liang, Tao & Yang, Degang & Lei, Li & Zhang, Wanli & Pan, Ju, 2022. "Preassigned-time bipartite synchronization of complex networks with quantized couplings and stochastic perturbations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 559-570.

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