Asymptotic synchronization analysis of fractional-order octonion-valued neural networks with impulsive effects-Reference-Cited by-同舟云学术

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

Published:2023 Issue:1 Volume:8 Page:1975-1994
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Gao Jin¹,Dai Lihua²

Affiliation:

1. School of Information, Yunnan Communications Vocational and Technical College, Kunming, Yunnan 650500, China

2. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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