Finite-Time Synchronization and Passivity of Multiple Delayed Coupled Neural Networks via Impulsive Control

This paper focuses on the finite-time passivity (FTP) and finite-time synchronization (FTS) for multiple delayed coupled neural networks (MDCNNs) with and without uncertain parameters. A novel FTP criterion for MDCNNs with different dimensions of input and output is derived by designing an impulsive controller and using the Jensen's inequality. Then, by means of the Lyapunov functional and integral inequality techniques, a sufficient condition is established to ensure the FTS of MDCNNs via impulsive control. Furthermore, the robust FTP and FTS in MDCNNs are considered. Finally, a numerical example is given to demonstrate the validity of the presented results.