Adaptive synchronization of complex dynamical networks with coupling delays and multi-links

The paper is mainly concerned with the issues of synchronization dynamics of complex dynamical networks with coupling delays and multi-links. A general model of complex networks with multi-links is formulated, which can well describe practical architectures of more realistic complex networks related to multi-links. Based on Lyapunov stability theory and adaptive control techniques, some simple controllers with updated feedback strength are introduced to make the network locally and globally synchronized. Furthermore, the effectiveness of theoretical results are verified by numerical simulations.