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Neural-Impulsive Pinning Control for Complex Networks Based on V-Stability

Author

Listed:
  • Daniel Ríos-Rivera

    (Computer Sciences Department, Universidad de Guadalajara, Guadalajara 44430, Mexico)

  • Alma Y. Alanis

    (Computer Sciences Department, Universidad de Guadalajara, Guadalajara 44430, Mexico)

  • Edgar N. Sanchez

    (Electrical Engineering Department, CINVESTAV, Unidad Guadalajara, Zapopan 45017, Mexico)

Abstract

In this work, a neural impulsive pinning controller for a twenty-node dynamical discrete complex network is presented. The node dynamics of the network are all different types of discrete versions of chaotic attractors of three dimensions. Using the V-stability method, we propose a criterion for selecting nodes to design pinning control, in which only a small fraction of the nodes is locally controlled in order to stabilize the network states at zero. A discrete recurrent high order neural network (RHONN) trained with extended Kalman filter (EKF) is used to identify the dynamics of controlled nodes and synthesize the control law.

Suggested Citation

  • Daniel Ríos-Rivera & Alma Y. Alanis & Edgar N. Sanchez, 2020. "Neural-Impulsive Pinning Control for Complex Networks Based on V-Stability," Mathematics, MDPI, vol. 8(9), pages 1-20, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1388-:d:400728
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    References listed on IDEAS

    as
    1. Bin Liu & Bo Xu & Guohua Zhang & Lisheng Tong, 2019. "Review of Some Control Theory Results on Uniform Stability of Impulsive Systems," Mathematics, MDPI, vol. 7(12), pages 1-28, December.
    2. Qi, Guoyuan & Chen, Guanrong & Du, Shengzhi & Chen, Zengqiang & Yuan, Zhuzhi, 2005. "Analysis of a new chaotic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 352(2), pages 295-308.
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    Cited by:

    1. Daniel Ríos-Rivera & Jorge D. Rios & Oscar D. Sanchez & Alma Y. Alanis, 2022. "Impulsive Pinning Control of Discrete-Time Complex Networks with Time-Varying Connections," Mathematics, MDPI, vol. 10(21), pages 1-14, November.

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