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Stability of a complex dynamical network model

Author

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  • Yuan, Wu-Jie
  • Luo, Xiao-Shu
  • Jiang, Pin-Qun
  • Wang, Bing-Hong
  • Fang, Jin-Qing

Abstract

In this paper, firstly, we propose a complex dynamical network model, which is always uniformly asymptotically stable about its equilibrium. Then, we give theoretical analysis of its uniform asymptotical stability by using Lyapunov stability theory. Finally, we show a numerical example to verify our theoretical result.

Suggested Citation

  • Yuan, Wu-Jie & Luo, Xiao-Shu & Jiang, Pin-Qun & Wang, Bing-Hong & Fang, Jin-Qing, 2007. "Stability of a complex dynamical network model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 478-482.
    • Handle: RePEc:eee:phsmap:v:374:y:2007:i:1:p:478-482
    DOI: 10.1016/j.physa.2006.07.001
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    Cited by:

    1. Syed Ali, M. & Yogambigai, J., 2016. "Synchronization of complex dynamical networks with hybrid coupling delays on time scales by handling multitude Kronecker product terms," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 244-258.

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