Asymptotic synchronization of fractional‐order non‐identical complex dynamical networks with parameter uncertainties
S. Aadhithiyan, Ramachandran Raja, Bo Kou, Govindaraj Selvam, Michał Niezabitowski, Chee Peng Lim, Jinde Cao · Mathematical Methods in the Applied Sciences · 2022
This article specifically deals with the asymptotic synchronization of non‐identical complex dynamic fractional‐order networks with uncertainty. Initially, by using the Riemann–Liouville fractional derivative, we developed a model for the general non‐identical complex network, and based on the properties of fractional‐order calculus and the direct Lyapunov method in fractional order, we proposed that drive and response systems of non‐identical complex networks ensuring asymptotic synchronization by using neoteric control. Second, taking into account the uncertainties of non‐identical complex networks in state matrices and evaluating their requirements for asymptotic synchronization. In addition, to explain the effectiveness of the proposed approach, two numerical simulations are given.