2004/11/10 by Jinhu Lu, Guanrong Chen
Physics and Astronomy · #nlin.AO
published as IEEE Transactions on Automatic Control, 2005, 50 (6): 841-846 · 13 pages
arxiv created 2004/11/10 · arxiv updated 2009/12/01
Today, complex networks have attracted increasing attention from various fields of science and engineering. It has been demonstrated that many complex networks display various synchronization phenomena. In this paper, we introduce a time-varying complex dynamical network model. We then further investigate its synchronization phenomenon and prove several network synchronization theorems. Especially, we show that synchronization of such a time-varying dynamical network is completely determined by the inner-coupling matrix, and the eigenvalues and the corresponding eigenvectors of the coupling configuration matrix of the network.