Synchronization of Delayed Lur'e complex dynamical networks with delayed coupling
Yanbo Gao, Binghua Sun, Zhenjuan Zhang · 2017
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.