具时变系数和时滞的模糊细胞神经网络的固定时间同步
Fixed-Time Synchronization for Fuzzy Cellular Neural Networks with Time-Varying Coefficients and Delays
DOI: 10.12677/PM.2021.117154, PDF, HTML, 下载: 408  浏览: 566  国家自然科学基金支持
作者: 刘 阳, 张松环, 丁 玮*：上海师范大学，数理学院，上海
关键词: 模糊细胞神经网络；固定时间同步；时变系数；时变时滞；Fuzzy Cellular Neural Network； Fixed-Time Synchronization； Time-Varying Coefficient； Time-Varying Delay
摘要: 本文研究的是具有时变系数和时变时滞的模糊细胞神经网络(FCNNs)的固定时间同步问题，目的是通过构造合适的控制器，使两个具有时变系数和时变时滞的FCNNs在有限时间内同步，并且可以通过改变控制器的参数来预先设定系统同步所需要的时间。主要方法是构造合适的控制器以及Lyapunov函数，利用固定时间稳定性理论及一些不等式技巧，得到具有时变系数和时变时滞的FCNNs固定时间同步的一些新的充分条件。最后还给了一个数值模拟的例子证明本文主要结果的有效性。
Abstract: This paper studies the fixed-time synchronization problem of fuzzy cellular neural networks (FCNNs) with time-varying coefficients and time-varying delays. The purpose is to be able to make two FCNNs with time-varying coefficients and time-varying delays can be synchronized in a finite time by constructing a suitable controller, and the time required for system synchronization can be preset by changing the parameters of the controller.The main method is to canstruct a suitable controller and Lyapunov function, and use the fixed-time stability theory and some inequality techniques to obtain some new sufficient conditions for fixed-time synchronization of FCNNs with time-varying coefficients and time-varying delays. Finally, an example is given to prove the validity of the main results of this paper.
文章引用：刘阳, 张松环, 丁玮. 具时变系数和时滞的模糊细胞神经网络的固定时间同步[J]. 理论数学, 2021, 11(7): 1369-1378. https://doi.org/10.12677/PM.2021.117154

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