Synchronization of a class of complex dynamical networks with time-varying delay couplings
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KünyeZhong, W., Dimirovski, G. M., Zhao, J. (2009). Synchronization of a class of complex dynamical networks with time-varying delay couplings. In Control Systems Society (Eds.), 2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC) (pp. 234-239), Piscataway, NJ: IEEE. http://dx.doi.org/10.1109/CCA.2009.5280720
This paper investigates synchronization dynamics of a complex delayed dynamical network as well as the effects of time-varying delay. Following the approach via Razumikhin theorem, simple delay-dependent synchronization criteria are derived in terms of linear matrix inequalities, which can be verified via the interior-point algorithm. The proposed criteria can deal with a fast time-varying delay in coupling term and enabled removing the restriction on the derivative of the time-varying delay. The effectiveness of the proposed synchronization scheme and the theoretical results are illustrated by a numerical example.