Synchronization of Delayed Lur'e complex dynamical networks with delayed coupling

Abstract

This paper addresses the global synchronization for Lur'e complex dynamical networks with hybrid couplings. This class of Lur'e networks have both the time-delayed nodes and the time-delayed couplings, in which these two classes of time-delays are distinct. By using a Lyapunov-Krasovskii functional (LKF) containing the Kronecker product of matrices, applying the matrix expansion method and Jensen inequality to estimate the derivative of the LKF, the delay-dependent synchronization criteria in terms of linear matrix inequality are newly obtained. And a numerical example is given to illustrate the effectiveness of proposed results.