中文摘要：

基于变结构控制研究了一类耦合时滞网络的同步问题。设计的控制器能够保证动态网络从任意初始状态出发都能达到滑模面。利用系统的左特征向量函数设计切换面,使得同步滑动模态保持稳定。利用到达条件设计控制器,使得网络状态能够在有限时间内到达切换面。最后针对实例进行仿真,仿真结果说明了所设计控制器的有效性。

英文摘要：

The synchronization problems were studied for a class of coupling delays networks based on variable structure control. The controllers assured the state of a dynamical network hit the switching surface from the arbitrary state. The switching surface was designed by using the left eigenvector function of the system, which can assure the synchronization sliding mode is stability. The hitting condition was used for designing the controller, which can assure the network state hitting the switching manifold in finite time. The examples were simulated by using the designed variable structure controller. The simulation results demonstrate the effectiveness of the proposed controllers.