Synchronization of complex dynamical networks via sampled-data control: A threshold function event-triggered method

The synchronization problem of a general complex dynamical networks is studied in this paper. Sampled-data feedback controllers with event triggered mechanism are designed to synchronize the complex network. The event in this paper is formed as a kind of monotone non-increasing threshold function. According to Lyapunov stability theory, quasi-synchronization can be reached, and the error level is related with some parameters of selected threshold function. Furthermore, under some appropriate parameters, the completed-synchronization can be guaranteed. Some examples are given to illustrate the effectiveness of the proposed to support theoretical results.