Adaptive Synchronization of a Class of Uncertain Complex Networks Against Network Deterioration

This paper is concerned with the robust synchronization problem for a class of uncertain dynamical complex networks against network deterioration. As deteriorated networks and uncertainties may lead to performance degradation or even instability of the whole network, an adaptive approach is proposed to adjust unknown coupling factors for the deteriorated network compensations, as well as to estimate controller parameters to compensate the effects of uncertainty on-line without assuming symmetry or irreducibility of networks. Through Lyapunov functions and adaptive schemes, pinning controllers are constructed to ensure that the synchronization errors of the networks can be reduced as small as desired in the presence of the network deterioration and uncertainty. Simulation results are given to verify the effectiveness of the proposed method.