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

Jin Gao; Lihua Dai; Jin Gao; Lihua Dai

doi:10.3934/math.2023102

AIMS Mathematics

2023, Volume 8, Issue 1: 1975-1994. doi: 10.3934/math.2023102

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Research article

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

Jin Gao ^{1
,
,},
Lihua Dai ²

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

Received: 21 August 2022 Revised: 28 September 2022 Accepted: 07 October 2022 Published: 26 October 2022
MSC : 34A08, 34A37, 34K24, 34K25

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.
- octonion algebra,
- synchronization,
- fractional-order,
- neural networks,
- impulsive effects
Citation: Jin Gao, Lihua Dai. Asymptotic synchronization analysis of fractional-order octonion-valued neural networks with impulsive effects[J]. AIMS Mathematics, 2023, 8(1): 1975-1994. doi: 10.3934/math.2023102

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Abstract

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.

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