Abstract In this paper, a kind of event-based aperiodically intermittent pinning synchronization control strategies for linearly coupled complex networks over the directed topology is proposed. With the prescribed convergence performance dynamic, an event-triggered mechanism is presented to guarantee the globally exponential synchronization of the complex networks. Furthermore, a global and robust event-based mechanism is derived by some approximation techniques to handle with the measurement noises of the states and the exponential synchronization is achieved. Simultaneously, with the limitation of information transmission over the networks, through constructing a nonlinear filter dynamic, a robust event-triggered mechanism which is only dependent on the states of the pinned nodes is presented to asymptotically synchronize the complex networks. Moreover, to eliminate the conservation of the constant feedback gains, a synthetic design of the adaptive feedback law and event-triggered mechanism is proposed. It is proved that the asymptotical synchronization of the complex network and the boundedness of the adaptive feedback gains are guaranteed. With rigorous analysis, for all of the presented event-based mechanisms, the Zeno phenomenon is excluded. Finally, a numerical example is performed over the directed scale-free network to demonstrate the effectiveness of the algorithms.

中文翻译：

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线性耦合复杂网络的基于事件的非周期性间歇pinning同步控制策略

摘要 本文针对有向拓扑上的线性耦合复杂网络，提出了一种基于事件的非周期间歇钉扎同步控制策略。在规定的收敛性能动态下，提出了一种事件触发机制来保证复杂网络的全局指数同步。此外，通过一些近似技术推导出一种全局的、鲁棒的基于事件的机制来处理状态的测量噪声，并实现指数同步。同时，由于网络上信息传输的限制，通过构建非线性滤波器动力学，提出了一种仅依赖于固定节点状态的鲁棒事件触发机制来渐近同步复杂网络。此外，为了消除恒定反馈增益守恒，提出了自适应反馈律和事件触发机制的综合设计。证明了复杂网络的渐近同步和自适应反馈增益的有界性得到保证。通过严格的分析，对于所有提出的基于事件的机制，芝诺现象被排除在外。最后，在有向无标度网络上进行了一个数值例子，以证明算法的有效性。通过严格的分析，对于所有提出的基于事件的机制，芝诺现象被排除在外。最后，在有向无标度网络上进行了一个数值例子，以证明算法的有效性。通过严格的分析，对于所有提出的基于事件的机制，芝诺现象被排除在外。最后，在有向无标度网络上进行了一个数值例子，以证明算法的有效性。