Synchronization analysis and control of multi-weighted complex networks with multiple delays

In this letter, the idea of network splitting according to time delay and weight, we model a class of the multi-weighted complex networks with multiple delays. Based on the theory of stability, the technique of linear matrix inequalities (LMIs), the synchronization of the proposed complex networks is studied in depth. The controllers we designed are very useful for understanding the synchronization in multi-weighted complex networks with multiple delays. Moreover, there is no requirement for the outer coupling configuration matrices to be irreducible or symmetric. Finall, simulation results of the synchronization problem illustrate the correctness of the results obtained.