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Pseudo almost periodic high-order cellular neural networks with complex deviating arguments

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Abstract

In this paper, we propose and study the pseudo almost periodic high-order cellular neural networks with oscillating leakage coefficients and complex deviating arguments, which has not been studied in the existing literature. Applying the contraction mapping fixed point theorem and inequality analysis techniques, we establish a set of criteria for the existence and uniqueness of pseudo almost periodic solutions for this model, which can be easily tested in practice by simple algebra computations. The obtained results play an important role in designing high-order cellular neural networks with state-dependent delays. Moreover, some illustrative examples are given to demonstrate our theoretical results.

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Acknowledgements

The author would like to express the sincere appreciation to the editor and reviewers for their helpful comments in improving the presentation and quality of the paper.

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Authors and Affiliations

  1. School of Science, Hunan University of Technology, Zhuzhou, 412000, Hunan, People’s Republic of China

    Aiping Zhang

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  1. Aiping Zhang
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Correspondence to Aiping Zhang.

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Zhang, A. Pseudo almost periodic high-order cellular neural networks with complex deviating arguments. Int. J. Mach. Learn. & Cyber. 10, 301–309 (2019). https://doi.org/10.1007/s13042-017-0715-3

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  • DOI: https://doi.org/10.1007/s13042-017-0715-3

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