Robust synchronization control for complex networks with disturbed sampling couplings

This paper is concerned with the problems of asymptotic synchronization and L 2 performance specification of a class of nonlinear complex networks against disturbed discrete-time sampling couplings. The sampling coupled network is converted into an effective perturbed coupling network. The perturbations and nonlinearities of nodes are supposed to be influenced by some internal and external factors of networks, which are depended on the transmitted signals and restricted by some constant bounds respectively. An adaptive mechanism is designed to estimate the dependency rate of signals and constant bounds. Then the robust adaptive compensation controllers are constructed to automatically eliminate the effects of perturbations and nonlinearities based on the estimations, and simultaneously to specify the L 2 performance of networks. Through Lyapunov functions and adaptive schemes, the achievement of asymptotic synchronization of the closed-loop adaptive complex networks is obtained with satisfying a specified L 2 performance criterion. Finally, numerical simulations are included to validate the effectiveness of the proposed method.