Hybrid projective synchronization of fractional-order memristor-based neural networks with time delays
Hybrid projective synchronization of fractional-order memristor-based neural networks with time delays
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DOI：
10.1007/s11071-015-2337-1
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发表时间：
2015-08
影响因子：
5.6
通讯作者：
G. Velmurugan;R. Rakkiyappan
中科院分区：
文献类型：
--
作者：
G. Velmurugan;R. Rakkiyappan
研究了一类分数阶时滞忆阻神经网络的混合投影同步问题。首先，我们解决了分数阶忆阻器为基础的神经网络（FMNN）的基本思想与枢纽结构和时间延迟。在此基础上，我们推导出了响应系统可以与相应的驱动系统同步，即响应系统可以与驱动系统的投影同步，这种同步是通过设计尺度矩阵产生的，称为混合投影同步。利用Filippovs解、微分包含理论、分数阶线性多时滞系统的稳定性定理，并采用适当的线性反馈控制律，得到了一类具有枢纽结构和时滞的FMNN投影同步的新的充分条件.本文的分析是基于分数阶微分方程的理论与间断的右手边。最后，一个数值例子来说明我们的理论结果的有用性。
In this paper, we study the hybrid projective synchronization problem for a class of fractional-order memristor-based neural networks with time delays. First, we address the basic ideas of fractional-order memristor-based neural networks (FMNNs) with hub structure and time delays. After that we derive the response system can be synchronized from the corresponding drive system, that is, the response system can be synchronized with the projection of the drive system generated through a design scaling matrix which is known as hybrid projective synchronization. By applying the Filippovs solutions, differential inclusion theory, stability theorem of linear fractional-order systems with multiple time delays and employing suitable linear feedback control law, some new sufficient conditions are derived to guaranteeing the projective synchronization of addressed FMNNs with hub structure and time delays. The analysis in this paper is based on the theory of fractional-order differential equations with discontinuous right-hand sides. Finally, a numerical example is presented to show the usefulness of our theoretical results.