Periodicity and synchronization of coupled memristive neural networks with supremums

This paper investigates the periodicity and synchronization of the coupled memristive neural networks with supremums and time-varying delays. By employing a novel ω-matrix measure approach and classical Filippov׳s discontinuous theory, some new sufficient conditions are derived to ensure the global exponential periodicity and the stability of the memristive neural network. Furthermore, the synchronization condition for the drive-response memristive neural networks via the error-feedback control scheme is also derived. Finally, numerical examples are provided to demonstrate the validity of the main results.