This paper investigates the problem of secure synchronization in aperiodic intermittent event-triggered pinning control for discrete-time complex networks (DCNs) against multi-pattern link attacks. Firstly, in order to reduce communication burden and control cost, a novel aperiodic intermittent event-triggered control (AIEC) with discontinuous characteristics is designed based on periodic sampling, where triggering instants are determined by the intermittent control (IC). Secondly, multiple pattern attack are modeled, as they can interrupt different edges and change the network topology. In addition, multi-pattern attacks for each link are independent and their impact on the coupling topology is analyzed. Thirdly, under destroyed network topology, this paper designs aperiodic intermittent event-triggered pinning control (AIEPC) by combining pinning control (PC) with the AIEC. Meanwhile, based on PC, the isolated node and pinned nodes form a like-directed spanning tree with an asymmetrical coupling matrix, where rooted at the isolated node and only directed connections between the isolated node and pinned nodes. Fourthly, using the segmentation analysis method and the inequality iteration technique, a sufficient condition for exponential synchronization of error system is obtained by considering the instants neighboring different intermittent control and attack intervals. Finally, a simulation example on Chua’s circuit network is provided to verify the validity of the theoretical results achieved in this paper.

中文翻译：

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离散时间复杂网络中非周期性间歇性事件触发控制的安全锁定同步，抵御多模式链路攻击


本文研究了离散时间复杂网络（DCN）针对多模式链路攻击的非周期性间歇事件触发钉扎控制中的安全同步问题。首先，为了减少通信负担和控制成本，基于周期性采样，设计了一种具有不连续特性的新型非周期性间歇事件触发控制（AIEC），其中触发时刻由间歇控制（IC）确定。其次，对多种模式攻击进行建模，因为它们可以中断不同的边缘并改变网络拓扑。此外，每个链路的多模式攻击都是独立的，并分析了它们对耦合拓扑的影响。再次，在网络拓扑被破坏的情况下，本文将钉扎控制（PC）与AIEC相结合，设计了非周期间歇事件触发钉扎控制（AIEPC）。同时，基于PC，孤立节点和钉扎节点形成具有非对称耦合矩阵的同向生成树，其根以孤立节点为根，孤立节点和钉扎节点之间只有有向连接。第四，利用分段分析方法和不等式迭代技术，考虑不同间歇控制和攻击间隔的相邻时刻，得到了误差系统指数同步的充分条件。最后，提供了蔡氏电路网络的仿真实例，验证了本文理论结果的有效性。