Synchronization of uncertain time-delay complex dynamical network
Kai Liu · Shenyang Gongye Daxue xuebao · 2009
Aiming at the uncertainty of complex network structures and the influence of time-delay on network synchronization,the synchronization problem of the uncertain time-delayed dynamical network was researched.Based on Lyapunov stability theory,the identification method for the unknown network parameters was studied,the sufficient conditions for the synchronization control of the uncertain time-delay network were analyzed,and the self-adaptive controllers for the synchronization of the uncertain time-delay complex dynamical network were designed.The designed controllers can effectively solve the synchronization problem of the time-delay network.The designed effects are independent with the topological structure of the network.The controller fits the scale-free network,small-world network and other networks with arbitrary structures.In addition,the synchronization problem of a loop network was simulated to verify the effectiveness of the proposed method.The satisfied results have been achieved.