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Synchronization criteria for a generalized complex delayed dynamical network model

Author

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  • Wang, Lei
  • Dai, Hua-ping
  • Sun, You-xian

Abstract

It has been demonstrated that most complex networks display synchronization phenomena, and this problem has attracted great attention of various fields including science and engineering. In this paper, a generalized complex dynamical network model with time-varying delays was presented. Kronecker product was adopted to investigate this model. Moreover, several synchronization criteria were derived for both delay-independent and delay-dependent asymptotical stability. Especially, it has been shown that synchronization of such dynamical network is determined by the linear matrix inequality consisting of coupling configuration matrices, inner-coupling matrices and isolated cells. At last, illustrative examples were given to validate the above-acquired.

Suggested Citation

  • Wang, Lei & Dai, Hua-ping & Sun, You-xian, 2007. "Synchronization criteria for a generalized complex delayed dynamical network model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 703-713.
    • Handle: RePEc:eee:phsmap:v:383:y:2007:i:2:p:703-713
    DOI: 10.1016/j.physa.2007.03.011
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    Cited by:

    1. Wu, Zhaoyan, 2015. "Synchronization of discrete dynamical networks with non-delayed and delayed coupling," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 57-62.

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