More general results of aperiodically intermittent synchronization for stochastic Markovian switching complex networks with multi-links and time-varying coupling structure

The paper is concerned with the pth moment exponential synchronization for stochastic Markovian switching complex networks with multi-links via aperiodically intermittent control. Different from the current literature on multi-links systems, the networks we consider have time-varying topology structure. New differential inequalities are established in which the Markovian switching and multiple time-varying delays are taken into account and the constraint on parameter that determines exponential convergence rate is reduced. Based on Lyapunov method, graph theory and differential inequality techniques, some sufficient conditions are obtained to achieve exponential synchronization. As a result, the developed synchronization criteria have more accurate exponential convergence rate than that in most existing literature which focuses on delayed systems with intermittent control. Finally, an application to modified Chua's circuits and corresponding numerical simulations are presented to demonstrate the effectiveness of the proposed theoretical results. (C) 2020 Elsevier B.V. All rights reserved.