Synchronization criteria for a generalized complex delayed dynamical network model

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

Physica A: Statistical Mechanics and its Applications, 2007, vol. 383, issue 2, 703-713

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.

Keywords: Synchronization; Complex networks; Time delays; Kronecker product (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:383:y:2007:i:2:p:703-713

DOI: 10.1016/j.physa.2007.03.011

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