Synchronization of Multi‐Layer Networks Under Memory Event‐Triggered Control: An Asymmetric LKF Approach

ABSTRACT

This work concentrates on the synchronization analysis of multi‐layer complex dynamical networks, with particular attention on achieving inter‐layer synchronization for the desired networks under asymmetric Lyapunov‐Krasovskii functional (LKF) approach. Moreover, the amount of data transmission and reduced communication resources being the major concern in case of networks, a memory event‐triggered control technique is developed for the considered multi‐layer networks. This attempted strategy utilizes preceding information about the transmitted signal to determine whether or not to transmit the data packets, eventually reducing the amount of data transmission. With the implementation of appropriate asymmetric LKF, a set of adequate requirements are attained based on linear matrix inequalities, such that the closed‐loop inter‐layer synchronization error system reaches the desired asymptotic stability. Furthermore, the simulation outcomes demonstrate the practicality of the proposed findings while facilitating the discussion with the aid of two numerical examples.