Predefined-Time Synchronization of Coupled Different Dimensional Neural Networks

This paper aims to study the predefined-time synchronization of coupled different dimensional neural networks (CDDNNs). Firstly, by designing appropriate controller and Lyapunov functional, a sufficient condition for the predefined-time synchronization for the CDDNNs without time-varying delays is established. Secondly, we derive a predefined-time synchronization criterion for CDDNNs with time-varying delays by constructing another novel controller and using some inequality techniques. Finally, the accuracy of the synchronization conditions is verified by an example with MATLAB simulation results.