Finite-Time Synchronization of Coupled Inertial Memristive Neural Networks with Mixed Delays via Nonlinear Feedback Control

The finite-time synchronization of coupled inertial memristive neural networks (IMNNs) systems is discussed in this paper. Firstly, a mathematical model of IMNNs with time-varying delays is given, then the original system is transformed into a first-order differential equation by selecting a suitable variable substitution. Secondly, by using two different controllers and the definition of the upper right-hand derivative, it can be guaranteed that finite-time and fixed-time synchronization between response system and drive system based on finite time stability and fixed time theory. Finally, two numerical simulations are given to illustrate the effectiveness of the main results.