Finite time boundedness of neutral high-order Hopfield neural networks with time delay in the leakage term and mixed time delays
Finite time boundedness of neutral high-order Hopfield neural networks with time delay in the leakage term and mixed time delays
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DOI：
10.1016/j.neucom.2017.04.048
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发表时间：
2017-10
期刊：
影响因子：
6
通讯作者：
C. Aouiti;P. Coirault;Foued Miaadi;Emmanuel Moulay
中科院分区：
文献类型：
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作者：
C. Aouiti;P. Coirault;Foued Miaadi;Emmanuel Moulay
研究了一类具有泄漏时滞和混合时滞的中立型高阶Hopfield神经网络(NHOHNN)的有限时间有界性(FTB)及其镇定问题。混合时滞包括离散时变时滞和无限分布时滞。利用拓扑度理论，给出了平衡点存在的充分条件。然后，用Lyapunov-Krasovskii泛函(LKF)方法证明了FTB的充分条件。这些条件是线性矩阵不等式(LMI)的形式，并且可以用数值来检验。在此基础上，构造了状态反馈控制来解决FTB镇定问题。最后，给出了一些数值例子来说明我们主要结果的有效性。
This article deals with the finite time boundedness (FTB) and FTB-stabilization problem for a general class of neutral high-order Hopfield neural networks (NHOHNNs) with time delay in the leakage term and mixed time delays. The mixed time delays consist of both discrete time-varying delays and infinite distributed delays. By using the topological degree theory, sufficient conditions are established to prove the existence of equilibrium points. Then, the Lyapunov–Krasovskii functional (LKF) method is used to prove sufficient conditions for the FTB. These conditions are in the form of linear matrix inequalities (LMIs) and can be numerically checked. Furthermore, a state feedback control is constructed to solve the FTB-stabilization problem. Finally, some numerical examples are presented to show the effectiveness of our main results.