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. First, a class of hybrid delay two-edge complex network model is presented which is more realistic. The model contains not only two sub networks with different properties but also two kinds of delay-node delay and coupling delay. Based on the Lyapunov-Krasovskii functional approach, some asymptotic synchronous adaptive controllers and exponential synchronous adaptive adaptive network controller are designed with some conservative assumptions and weak network parameters. Controller, the result obtained is less conservative than the previous conclusion. Finally, numerical simulation of the example shows the effectiveness of the method.