Synchronization of continuous complex networks based on asynchronously discontinuous controllers

In this paper, our purpose is to design asynchronously discontinuous controllers (ADCs) to achieve the synchronization of linear coupled continuous complex network models (LCCNMs). The LCCNMs with ADCs are proposed for two reasons: (1) The controllers may not transmit their information simultaneously; (2) The performing process of the controllers is difficult to be active continuously. The synchronization is then discussed for the designed network models. Moreover, time-delays are considered into the designed models and the synchronization is also presented.