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
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.
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