Global synchronization for directed complex networks

作者:Yang Menglong*; Liu Yiguang; You Zhisheng; Sheng Peng
来源:Nonlinear Analysis: Real World Applications , 2010, 11(3): 2127-2135.
DOI:10.1016/j.nonrwa.2009.06.007

摘要

Synchronization for generic directed networks is investigated in this paper. Based on Lyapunov stability theory, a sufficient condition for synchronization of directed networks is derived. Compared with other approaches, where weighted path-lengths are required, or the complex eigenvalues of an asymmetric matrix, Jacobian matrix or Kronecker product need to be calculated, the sufficient condition in this paper is simple and convenient to use. Two typical examples of directed networks with chaotic nodes are finally demonstrated to verify the theoretical results and the effectiveness of the proposed synchronization scheme.