Adaptive finite-time synchronization control for fractional-order complex-valued dynamical networks with multiple weights

In this paper, finite-time synchronization issue of fractional-order complex-valued dynamical networks with multiple weights is addressed. Multiple weights are pulled into consideration, which makes our model more practical and general than single-weight one. Combining Lyapunov method with graph-theoretic method and making use of the theory of complex functions, finite-time synchronization criteria for fractional-order complex-valued dynamical networks with multiple weights are established by using feedback control and adaptive control, respectively. Furthermore, the settling time of synchronization is effectively estimated, which is connected with the order of fractional derivative, the parameters of control and topological structure of networks. Eventually, numerical simulations are exhibited to demonstrate the validity of theoretical results and analyse the relationship between the settling time of synchronization and the order of fractional derivative with the parameters of control.