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Weyl almost periodic solutions of octonion-valued high-order fuzzy neural networks with delays

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Abstract

In this paper, we regard octonion-valued high-order fuzzy networks with time-varying delays. With the help of Banach’s fixed point theorem, we first show that the system under consideration has a unique bounded and uniformly continuous solution, and then use the inequality trick to show that this solution is also a p-th Weyl almost periodic solution. In addition, we also investigate the global exponential stability of this almost periodic solution by some inequality techniques. Our results are new even if the system we consider degenerates into a real-valued system. Finally, we exemplify the effectiveness of our results by a numerical example and computer simulations.

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Authors and Affiliations

  1. Department of Mathematics, Yunnan University, Kunming, 650091, Yunnan, People’s Republic of China

    Xiaoli Huang & Yongkun Li

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  1. Xiaoli Huang
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  2. Yongkun Li
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Correspondence to Yongkun Li.

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Communicated by Marcos Eduardo Valle.

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This work is supported by the National Natural Science Foundation of China under Grant nos. 12261098 and 11861072.

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Huang, X., Li, Y. Weyl almost periodic solutions of octonion-valued high-order fuzzy neural networks with delays. Comp. Appl. Math. 42, 155 (2023). https://doi.org/10.1007/s40314-023-02294-x

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