Outer Synchronization of Complex Networks with Time-varying Coupling Matrixes
Tian Wen-xi · Control Engineering of China · 2015
In view of the network topology and the coupling strength of nodes varying over time, a new complex dynamical network model with time-varying coupling matrixes is proposed. The time-varying coupling matrix in the model includes the time-varying outer coupling matrix and the time-varying inner coupling matrix. Based on the Lyapunov stability theory and the Barbalat's lemma, a control strategy is proposed to ensure the outer synchronization for this model. In particular, the control strategy is robust to the coupling strength of nodes and the network topology, and nodes in either network may have identical or different dynamics. Numerical simulation results further verify the effectiveness of the proposed method.