Synchronization of a Riemann–Liouville Fractional Time-Delayed Neural Network with Two Inertial Terms

The synchronization of a Riemann–Liouville-type fractional inertial neural network with a time delay and two inertial terms is studied in this paper. Some new Lyapunov functions are constructed. Based on the properties of the Riemann–Liouville fractional derivative, two new synchronization criteria are given in terms of linear matrix inequalities (LMIs). Suitable controllers are designed to ensure that synchronization can be achieved between the master system and slave system. Four numerical examples are provided to show the effectiveness and superiority of the obtained criteria.