Exponential synchronization for second-order linear systems in complex dynamical networks with cooperatively directed spanning tree topology

The exponential synchronization problem for second-order linear systems in CDNs with time-varying network topology is investigated in this paper. A sufficient exponential synchronization condition is given under the cooperatively directed spanning tree topology. Moreover, based on the graph theory, Lyapunov method and matrix inequalities, the detailed proof process of exponential synchronization is provided. Finally, simulation results are presented to validate the effectiveness of the theoretical analysis.