Synchronization of inertial memristive neural networks with time-varying delays via static or dynamic event-triggered control

Abstract

This paper investigates the synchronization problem of inertial memristive neural networks (IMNNs) with time-varying delays via event-triggered control (ETC)scheme and state feedback controller for the first time. First, two types of statefeedback controllers are designed; the first type of controller is added to thetransformational first-order system, and the second type of controller is addedto the original second-order system. Next, based on each feedback controller,static event-triggered control (SETC) condition and dynamic event-triggeredcontrol (DETC) condition are presented to significantly reduce the update timesof controller and decrease the computing cost. Then, some sufficient conditionsare given such that synchronization of IMNNs with time-varying delays can beachieved under ETC schemes. Finally, a numerical simulation and some dataanalyses are given to verify the validity of the proposed results.