In this article, we consider the resilience analysis of the even‐based consensus control of networked Lagrangian systems under denial‐of‐service (DoS) attacks, which are usually implemented by the attackers to block the communication channels. Comparing with the linear cyber‐physical systems, the secure control of the networked Lagrangian systems is more complex and challenging, especially under the conditions of asymmetry communication and discontinuous control. To this end, an event‐based controller is first designed for consensus control of networked Lagrangian systems in the absence of DoS attacks. Sufficient conditions are given to stabilize the closed‐loop systems. Then the resilience analysis is presented for the event‐based controller under DoS attacks. Some conditions associated with the DoS duration and frequency are proposed for the control parameters against the attacks. Then Zeno behaviors are proved to be nonexistent in the proposed control scheme. An algorithm is also given to guide the control design.

中文翻译：

---

基于事件的DoS攻击对通信的弹性，以实现网络拉格朗日系统的共识

在本文中，我们考虑在拒绝服务（DoS）攻击下对网络拉格朗日系统的基于偶数共识控制的弹性分析，通常由攻击者实施以阻止通信通道。与线性网络物理系统相比，网络拉格朗日系统的安全控制更加复杂和具有挑战性，尤其是在不对称通信和不连续控制的情况下。为此，首先设计了一种基于事件的控制器，用于在没有DoS攻击的情况下对联网的拉格朗日系统进行共识控制。给出了足以使闭环系统稳定的条件。然后针对DoS攻击下基于事件的控制器进行了弹性分析。针对与攻击有关的控制参数，提出了与DoS持续时间和频率相关的一些条件。然后证明了所提出的控制方案中不存在芝诺行为。还给出了一种算法来指导控制设计。