Synchronization for uncertain neural networks with randomly occurring uncertainties and time-delay based on the sliding mode control

This investigation delved into the synchronization of master-slave systems in uncertain neural networks featuring randomly occurring uncertainties and time-delay, employing the sliding mode control technique. A strategy involving an integral sliding mode surface and controller has been developed to ensure the neural networks' state trajectories could swiftly reach the sliding mode surface.The goal was to achieve synchronization through the use of linear matrix inequalities by utilizing a reciprocally convex method with a Lyapunov-Krasovskii functional approach. Finally, a numerical illustration demonstrating the effectiveness of the obtained findings was shown.