On memristor-based impulsive neural networks with time-delay

This paper studies a group of interconnected memristor-based impulsive neural networks (MINNs) with time-delay and its synchronization mechanism. Due to the impulsive and switching mode, interconnected MINNs are mathematically elaborated in the form of impulsive differential inclusions. Based on theories of Lyapunov functions and impulsive differential equations, asymptotic convergence of synchronization is evaluated for the interconnected MINNs, where the relationship of impulse to convergence rate are specified. It is shown that in addition to the Laplacian coupling, the impulse plays an essential role in the pursuit of synchronization. Simulation work is provided to verify the developed theoretical results.