Synchronization of coupled memristive neural networks with actuator saturation and switching topology

Abstract

This study inspects the synchronization problem for a class of coupled memristive neural networks against parameter uncertainties, actuator saturation and switching topology, where the saturation effect is incorporated in the control design. The main objective of this study is to originate a non-fragile reliable controller with saturation effect such that the state trajectories of the proposed coupled memristive neural networks are initiated to synchronize asymptotically to the leader node under direct communication topology. In particular, a novel set of sufficient conditions is derived in conjunction with graph theory and the Lyapunov’s direct method for obtaining the asymptotic synchronization of the addressed coupled memristive neural networks. After that, the explicit form of the controller gains are obtained by using linear matrix inequalities. Eventually, two numerical examples are presented to verify the feasibility and effectiveness of the proposed synchronization criteria.