Asymptotic synchronization analysis of fractional-order octonion-valued neural networks with impulsive effects

AIMS Mathematics

article

Jin Gao¹  Lihua Dai² 

[1] School of Information, Yunnan Communications Vocational and Technical College;School of Mathematics and Statistics, Southwest University

关键词: octonion algebra;    synchronization;    fractional-order;    neural networks;    impulsive effects;   

DOI  :  10.3934/math.2023102

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

This paper deals with a class of fractional-order octonion-valued neural networks (FOOVNNs) with impulsive effects. Firstly, although the multiplication of octonion numbers does not satisfy the commutativity and associativity, we don't need to separate an octonion-valued system into eight real-valued systems. Secondly, by applying the appropriate Lyapunov function, and inequality techniques, we obtain the global asymptotical synchronization of FOOVNNs. Finally, we give two illustrative examples to illustrate the feasibility of the proposed method.

【 授权许可】

CC BY