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Weighted pseudo almost periodic solutions for Clifford-valued neutral-type neural networks with leakage delays on time scales
Advances in Difference Equations ( IF 3.1 ) Pub Date : 2020-06-12 , DOI: 10.1186/s13662-020-02754-2
Shiping Shen , Yongkun Li

In this paper, we consider a class of Clifford-valued neutral-type neural networks with leakage delays on time scales. We do not decompose the networks under consideration into real-valued systems, but we directly study the Clifford-valued networks. We first establish the existence of weighted pseudo almost periodic solutions of this class of neural networks by the theory of calculus on time scales and the Banach fixed point theorem. Then, we study the global exponential stability of weighted pseudo almost periodic solutions of this class of neural networks by using inequality techniques and the proof by contradiction. Finally, we give an example to illustrate the feasibility of the obtained results.



中文翻译:

具有时标泄漏延迟的Clifford值中立型神经网络的加权伪几乎周期解

在本文中,我们考虑一类具有时标泄漏延迟的Clifford值中立型神经网络。我们不会将考虑中的网络分解为实值系统,而是直接研究Clifford值网络。我们首先通过时间尺度上的微积分理论和Banach不动点定理,建立了这类神经网络的加权伪几乎周期解的存在。然后,我们使用不等式技术和矛盾证明研究了这类神经网络的加权伪几乎周期解的全局指数稳定性。最后,我们给出一个例子来说明所获得结果的可行性。

更新日期:2020-06-12
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