This paper investigates the global synchronization problems of fractional-order complex dynamical networks with uncertain inner coupling and multiple time delays. In particular, both internal time delays and coupling time delays are introduced into our model. To overcome the difficulties caused by various delays and uncertainties, a generalized delayed comparison principle with fractional-order and impulsive effects is established by using the Laplace transform. Based on the Lyapunov stability theory and mixed impulsive control technologies, some new synchronization criteria for concerned complex dynamical networks are derived. In addition, the synchronization criteria are related to the impulsive interval, network topology structure, fractional-order, and control gains. The theoretical results obtained in this paper can enhance the value of previous related works. Finally, numerical simulations are presented to show the correctness of our main results.

This research demonstrates a focus on the complete synchronization of fractional-order neural networks with bounded parameter uncertainties and information interactions. The drive-response network models considered in this article contain the operators fuzzy AND, fuzzy OR, and nonlinear interaction modes, which makes the systems in this article more generalized. To achieve complete synchronization tasks, we design a new nonlinear adaptive control scheme. Unlike existing control strategies, the controller incorporates a sign function and a monotonically decreasing function, ensuring the boundedness of the controller even as the error approaches zero, while reducing the conservatism of the control intensity. By virtue of fractional calculus properties and inequality analysis techniques, new synchronization criteria of the concerned drive–response networks are established under the adaptive control schemes. Numerical examples demonstrate the effectiveness of the method proposed in this research.