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Alternate Event-Triggered Intermittent Control for Exponential Synchronization of Multi-Weighted Complex Networks
Neural Processing Letters ( IF 2.6 ) Pub Date : 2022-08-20 , DOI: 10.1007/s11063-022-11000-7
Dongsheng Xu , Chenfei Guo , Huan Su

In this paper, the exponential synchronization problem for multi-weighted complex networks via alternate event-triggered aperiodically intermittent control (AETAIC) is considered. Different from existing literature, the proposed AETAIC is triggered alternatively by two pre-defined conditions. In contrast to the conventional event-triggered control, the event-triggered conditions of AETAIC can not only judge the updates of control signals, but also dominate the actuation and close of the control. Through graph theory and Lyapunov method, several sufficient conditions are given to ensure exponential synchronization of the studied networks. Moreover, a positive lower bound of the inter-execution is obtained, such that Zeno behavior can be excluded. Finally, in order to illustrate the theoretical results, two practical applications about Chua’s circuits and coupled oscillators are presented. Meanwhile, numerical simulations are provided to validate the effectiveness of the results.



中文翻译:

多加权复杂网络指数同步的交替事件触发间歇控制

在本文中,考虑通过交替事件触发非周期性间歇控制(AETAIC)的多加权复杂网络的指数同步问题。与现有文献不同,所提出的 AETAIC 由两个预定义条件交替触发。与传统的事件触发控制相比,AETAIC的事件触发条件不仅可以判断控制信号的更新,还可以控制控制的启动和关闭。通过图论和李雅普诺夫方法,给出了保证所研究网络的指数同步的几个充分条件。此外,获得了交互执行的正下界,从而可以排除 Zeno 行为。最后,为了说明理论结果,介绍了关于 Chua 电路和耦合振荡器的两个实际应用。同时,通过数值模拟验证了结果的有效性。

更新日期:2022-08-21
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