Adaptive Projective Synchronization in Weighted Dynamical Complex Networks with Time-Varying Coupling Delay

Abstract. Recently, various papers investigated the geometry features, synchronization and control of complex network provided with certain topology. While, sometimes the exact topology of a network is unknown or uncertain. Using Lyapunov theory, we propose an adaptive feedback controlling method to identify the exact topology of a rather general weighted complex dynamical network model. By receiving the network nodes evolution, the topology of such kind of network with identical or different nodes, or even with switching topology can be monitored. Experiments show that the methods presented in this paper are of high accuracy with good performance.