Synchronization and identification of time-variant network composed of various clusters with different topologies and node numbers

An efficient control and identification technique is proposed in this work to synchronize the time-variant network composed of various clusters with different topologies and node numbers and to identify the unknown parameters in variable equations. Different kinds of chaotic systems containing unknown parameters, including quantum Dicke, Jaynes–Cumming models and Nd:YAG lasers, are taken as the nodes to construct three clusters and a time-varying network in order to verify the effectiveness of the designed controller and identification law. The simulation results show that the complete synchronization of all nodes within the network can be realized quickly and the unknown parameters are also accurately identified simultaneously even if topology of the network varies over time, indicating that the designed synchronization controller and the identification law for unknown parameters based on the Lyapunov stability theorem are universal and effective. Graphic abstract