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Event-triggered synchronization of coupled memristive neural networks
Applied Mathematics and Computation ( IF 4 ) Pub Date : 2021-10-19 , DOI: 10.1016/j.amc.2021.126715
Sha Zhu 1 , Haibo Bao 1
Affiliation  

This article is devoted to exploring the synchronization problem of coupled memristive neural networks (CMNN) under event-triggered control (ETC) for the first time. Firstly, combining the concept of Filippov solution with the theory of differential inclusion, the interval parameter system is introduced. Then, static event-triggered control (SETC) condition and dynamic event-triggered control (DETC) condition are given respectively based on a newly designed controller. Thirdly, some novel sufficient conditions are given to synchronize CMNN under ETC scheme by applying Lyapunov function and inequality techniques. Moreover, the positive lower bound of the trigger interval is calculated explicitly, which reveals that Zeno-behavior could be removed. Lastly, the validity of the provided ETC mechanism is further confirmed by an example.



中文翻译:

耦合忆阻神经网络的事件触发同步

本文首次致力于探索事件触发控制(ETC)下耦合忆阻神经网络(CMNN)的同步问题。首先,结合Filippov解的概念和微分包含理论,引入区间参数系统。然后,基于新设计的控制器分别给出静态事件触发控制(SETC)条件和动态事件触发控制(DETC)条件。第三,通过应用李雅普诺夫函数和不等式技术,给出了在 ETC 方案下同步 CMNN 的一些新的充分条件。此外,明确计算了触发间隔的正下限,这表明可以去除 Zeno 行为。最后,通过一个例子进一步证实了所提供的 ETC 机制的有效性。

更新日期:2021-10-20
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