Under the framework of cyber-physical systems (CPSs), this paper investigates the secure synchronization control problem of complex networks against asynchronous attacks. Different from the previous works that considered either connection attack on network connections or denial-of-service (DoS) attack in control (controller-to-actuator) channels, the asynchronous case of both types of attacks in complex networks is taken into account here. Besides, to overcome the difficulty that system states are not available for controllers, the pinning-nodes-based observer is designed to estimate all system states only using the measurements of pinning nodes rather than all ones. Such an observer is very realistic, especially for large-scale complex systems. By establishing a piecewise Lyapunov function, the secure synchronization criteria of complex networks under the considered asynchronous attacks are obtained. Finally, a numerical example and its simulations are exhibited to confirm the availability of the developed theoretical outcomes.

在网络物理系统（CPS）的框架下，本文研究了针对异步攻击的复杂网络的安全同步控制问题。与以前的研究既考虑网络连接的连接攻击，又考虑控制（控制器到执行器）通道中的拒绝服务（DoS）攻击的工作不同，这里考虑了复杂网络中两种攻击的异步情况。此外，为了克服系统状态不适用于控制器的困难，基于钉扎节点的观察器被设计为仅使用钉扎节点而不是所有钉扎节点的测量来估计所有系统状态。这样的观察者是非常现实的，尤其是对于大型复杂系统。通过建立分段的Lyapunov函数，获得了考虑了异步攻击的复杂网络的安全同步准则。最后，展示了一个数值示例及其模拟，以确认已开发的理论结果的可用性。