Synchronization criteria for general coupling complex networks with time varying delay
一般耦合结构时变时滞复杂网络的同步准则

Synchronization problem for general coupling complex networks with time varying delay is studied. The restriction on the out-coupling matrix of a dynamical network that is always assumed to be symmetric or irreducible is removed. Complex eigenvalues for the general out-coupling matrix are considered and complex vectors are dealt with accordingly. Based on Lyapunov stability theory, the matrix decomposition technique and linear matrix inequalities(LMIs), the sufficient condition of synchronization stability is developed by constructing an appropriate Lyapunov function. In addition, synchronization problem of a numerical example is simulated to verify the effectiveness of the proposed conclusion. The results show that the condition is much less conservative than the existing ones in literature.