中文摘要：

首先给出了一类更加符合现实情况的混合时滞二重边复杂网络模型，该模型不仅含有两个不同性质的子网络，而且同时含有两种时滞——节点时滞和耦合时滞。基于Lyapunov—Krasovskii泛函方法，在一些保守性较小的假设和对网络参数要求很弱的情况下，利用合适的不等式放缩，为网络设计了渐近同步自适应控制器和指数同步自适应控制器，得到的结果较已有结论保守性有所减小。最后进行实例数值仿真，说明了方法的有效性．

英文摘要：

A general double-linked complex delayed network is introduced, which is more in accordance with the reality. This model contains not only two sub-networks of different nature but also delayed nodes and couplings. Via Lyapunov-Krasovskii functional method, under smaller conservative assumption and weaker requirements of the network parameters, by using appropriate equality, adaptive feedback controllers of asymptotic synchronization and exponential synchronization for the complex network are designed, which is less conservative than those previously reported. Finally, the result of numerical calculation shows the effectiveness of the control method.