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.

本文研究了具有多个权重的分数阶复值动态网络的有限时间同步问题。考虑了多个权重，这使得我们的模型比单权重模型更实用，更通用。将Lyapunov方法与图论方法相结合，并利用复函数理论，分别采用反馈控制和自适应控制，建立了具有多个权重的分数阶复值动力网络的有限时间同步准则。此外，有效地估计了同步的建立时间，它与分数导数的顺序，控制参数和网络的拓扑结构有关。最终，