Synchronization of time-varying coupled complex networks via adaptive pinning control

Abstract

Pinning synchronization of complex networks with two different kinds of time-varying coupling are studied in this paper. Inner coupling of the state variables and outer coupling in the complex network are taken into consideration. Based on the Lyapunov function theory, some general criteria and a simplified corollary for ensuring network synchronization are proposed. Linear pinning controllers, adaptive pinning controllers and adaptive coupling strength are designed for achieving complex network time-varying synchronization. Furthermore, the analytic relationship between control parameters is studied. Numerical simulations further illustrate the effectiveness of conclusions.

Pinning control of complex networks based on the entropy of betweenness centrality and node strength

“…In the field of pinning control research, a lot of research has been done by many scholars on the problem of pinning control selection strategy. Lin and Wang [5]studied the problem of local and global synchronization for pinning control of complex networks, and the paper gives the conclusion that even with a random node selection strategy, if enough nodes are controlled for a network, the network can be synchronized. Wang and Chen [6] choose a scale-free network as an example to demonstrate that pinning nodes with large degree can make the complex network reach synchronization faster, and after comparison, it is found that the degree-based control strategy is significantly better than the random node selection strategy.…”