Almost automorphic solutions in distribution for octonion-valued stochastic recurrent neural networks with time-varying delays

Bing Li, Yuwei Cao and Yongkun Li

International Journal of Systems Science, 2024, vol. 55, issue 1, 102-118

Abstract: In this paper, we consider a class of octonion-valued stochastic recurrent neural networks with time-varying delays whose state variables, self-feedback coefficients, connection weights and external inputs of the networks are all octonion-valued functions. Based on Banach fixed point theorem and inequality technique, we obtain the existence, uniqueness and global exponential stability of almost automorphic solutions in distribution of this kind of neural networks. Our results are new. Finally, an example is given to illustrate the effectiveness of our results.

Date: 2024
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DOI: 10.1080/00207721.2023.2268770

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