Delay-dependent synchronization in general complex delayed dynamical networks

In this paper, the delay-dependent synchronization of general complex delayed dynamical networks is investigated. The corresponding inner-function can be linear and nonlinear with different time delays in states. Based on delay differential inequality, some simple and useful criteria for synchronization to be delay-dependent exponentially stable are presented. They provide concrete bounds of the delays in terms of explicit expression. Numerical simulations show the effectiveness and feasibility of the proposed synchronous conditions.