Adaptive Cluster Matrix Projective Synchronization of Complex Dynamical Networks with Coupling Time-Varying Delays
Haitao Cao, Shuguo Wang · 2015
This paper studies the cluster matrix projective synchronization of complex dynamical networks with nonidentical dynamical nodes and coupling time-varying delays. Based on Lyapunov stability theory and Barbalat's lemma, cluster matrix projective synchronization criteria is derived by using the adaptive control method. Each cluster is asymptotically synchronized with target system by state transformation with scaling matrix. The proposed strategy expands the types of traditional cluster synchronization and makes the scaling factor developing from a single value or diagonal matrix to a general matrix. It indeed provides more new insights for the future practical engineering design than previous papers. Numerical simulation results are presented finally to illustrate the effectiveness of this method.