Existence and Global Exponential Stability of Pseudo Almost Periodic Solution for Clifford- Valued Neutral High-Order Hopfield Neural Networks With Leakage Delays

Existence and Global Exponential Stability of Pseudo Almost Periodic Solution for Clifford- Valued Neutral High-Order Hopfield Neural Networks With Leakage Delays
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具有泄漏时滞的Clifford值中性高阶Hopfield神经网络伪准周期解的存在性及全局指数稳定性

DOI:
10.1109/access.2019.2947647
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发表时间:
2019-10
期刊:
影响因子:
3.9
通讯作者:
李永昆
李永昆
中科院分区:
计算机科学3区
文献类型:
--
作者:
Bing Li;李永昆

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In this paper, we are concerned with a class of Clifford-valued neutral high-order Hopfield neural networks with leakage delays. Although the multiplication of Clifford numbers does not satisfy the commutativity, which brings great difficulties to the study of Clifford-valued systems, we have found a method that does not decompose Clifford-valued systems into real-valued systems to study the existence and global exponential stability of pseudo-almost periodic solutions of this class of neural networks. Our results are completely new. Finally, two examples are given to illustrate the effectiveness and feasibility of our main results.
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