Delay-dependent synchronization stability for delayed complex dynamical networks with stochastic coupling

The synchronization stability problem is investigated for a class of stochastic complex dynamical network with time delay. In order to reduce the conservatism, the delay is divided into several segments, by employing a novel delay-segment-dependent Lyapunov functional, some new delay-dependent synchronization stability conditions are derived in terms of linear matrix inequalities, which can be solved efficiently by the LMI toolbox. This new criteria based on a delay fractioning approach can reduce the conservation as the delay fractioning number increases. A numerical example is provided to show the advantage of the proposed techniques.