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.
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

参考文献

[1] Abdurahman, A., Jiang, H.J. and Teng, Z.D. (2016)Finite-Time Synchronization for Fuzzy Cellular Neural Networks with Time-Varying Delays. Fuzzy Sets and Systems, 297, 96-111.
https://doi.org/10.1016/j.fss.2015.07.009
[2] Wang, W.T.(2018) Finite-Time Synchronization for a Class of Cellular Neural Networks with Time-Varying Coefficients and Proportional Delays. Fuzzy Sets and Systems, 338, 40-49.
https://doi.org/10.1016/j.fss.2017.04.005
[3] Zheng, M.W., Li, L.X., H.P., Xiao, J.H., Yang,Y.X.,Zhang, Y.P. and Zhao,H. (2018) Fixed-Time Synchronization of Memristor-Based Fuzzy Cellular Neural Network with Time-Varying Delay. Journal of the Franklin Institute, 355,6780-6809.
https://doi.org/10.1016/j.jfranklin.2018.06.041
[4] Ding, W. and Han,M.A. (2008) Synchronization of Delayed Fuzzy Cellular Neural Networks Based on Adaptive Control. Physics Letters A, 372, 4674-4681.
https://doi.org/10.1016/j.Physleta.2008.04.053
[5] Chen, C., Li, L., Peng, H., Yang, Y. and Zhao,H. (2020) A New Fixed-Time Stability Theorem and Its Application to the Fixed-Time Synchronization of Neural Networks. Neural Networks, 123, 412-419.
https://doi.org/10.1016/j.neunet.2019.12.028
[6] Polyakov, A. (2012) Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems.IEEE Transactions on Automatic Control,57, 2106-2110.
https://doi.org/10.1109/TAC.2011.2179869

为你推荐