Synchronization control of a time-varying complex dynamical network
时变复杂动力学网络的同步控制

Synchronization control of a time-varying complex dynamical network model is investigated.We assume that the synchronous trajectories,entries of the coupling configuration matrix and inner-coupling matrix of the model are all bounded.When those bounds are a priori known or uncertain,a linear feedback scheme and an adaptive scheme are applied to globally synchronize the network respectively.By constructing the adequate Lyapunov function,we can always let a dynamical network,no matter how it is initialized,achieve asymptotic synchronization under the corresponding control scheme.In particular,the proposed adaptive control scheme shows a high robustness to the uncertainties in topological structure of network,coupling strength between nodes,time delays,etc.Numerical simulations validate the effectiveness of the proposed approach.