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Neural Processing Letters
Published in: Neural Processing Letters 2/2020

07-01-2020

\(S^{p}\)-Almost Periodic Solutions of Clifford-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays

Authors: Shiping Shen, Yongkun Li

Published in: Neural Processing Letters | Issue 2/2020

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Abstract

In this paper, we consider Clifford-valued fuzzy cellular neural networks with time-varying delays. In order to avoid the inconvenience caused by the non-commutativity of the multiplication of Clifford numbers, we first decompose the considered n-dimensional Clifford-valued systems into \(2^{m}n\)-dimensional real-valued systems. Then by using the Banach fixed point theorem and a proof by contradiction, we establish sufficient conditions ensuring the existence, the uniqueness and the global exponential stability of \(S^{p}\)-almost periodic solutions for the considered neural networks. Finally, we give an example to illustrate the effectiveness of the obtained results. Our results are new even when the considered neural networks degenerates to real-valued, complex-valued and quaternion-valued neural networks.
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Metadata
Title
-Almost Periodic Solutions of Clifford-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays
Authors
Shiping Shen
Yongkun Li
Publication date
07-01-2020
Publisher
Springer US
Published in
Neural Processing Letters / Issue 2/2020
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-019-10176-9

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