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Stability And Controllability Of Asymmetric Complex Dynamical Networks: Eigenvalue Analysis

Author

Listed:
  • LINYING XIANG

    (Department of Automation, Nankai University, Tianjin 300071, P. R. China)

  • ZENGQIANG CHEN

    (Department of Automation, Nankai University, Tianjin 300071, P. R. China)

  • ZHONGXIN LIU

    (Department of Automation, Nankai University, Tianjin 300071, P. R. China)

  • FEI CHEN

    (Department of Automation, Nankai University, Tianjin 300071, P. R. China)

  • ZHUZHI YUAN

    (Department of Automation, Nankai University, Tianjin 300071, P. R. China)

Abstract

The stability and controllability of asymmetric complex dynamical networks are investigated in detail based on eigenvalue analysis. Pinning control is suggested to stabilize the homogenous stationary state of the whole coupled network. The complicated coupled problem is reduced to two independent problems: clarifying the stable regions of the coupled network and specifying the eigenvalue distribution of the asymmetric coupling and control matrices. The dependence of the controllability on both pinning density and pinning strength is studied.

Suggested Citation

  • Linying Xiang & Zengqiang Chen & Zhongxin Liu & Fei Chen & Zhuzhi Yuan, 2009. "Stability And Controllability Of Asymmetric Complex Dynamical Networks: Eigenvalue Analysis," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(02), pages 237-252.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:02:n:s0129183109013571
    DOI: 10.1142/S0129183109013571
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    Cited by:

    1. Huang, Yubo & Dong, Hongli & Zhang, Weidong & Lu, Junguo, 2019. "Stability analysis of nonlinear oscillator networks based on the mechanism of cascading failures," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 5-15.

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