Asymptotic synchronization analysis of fractional-order octonion-valued neural networks with impulsive effects
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-...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023102?viewType=HTML |
| _version_ | 1798022475394580480 |
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| author | Jin Gao Lihua Dai |
| author_facet | Jin Gao Lihua Dai |
| author_sort | Jin Gao |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T17:30:38Z |
| format | Article |
| id | doaj.art-eca09946e7084c5fa34043271feddef2 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T17:30:38Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-eca09946e7084c5fa34043271feddef22022-12-22T04:12:04ZengAIMS PressAIMS Mathematics2473-69882023-01-01811975199410.3934/math.2023102Asymptotic synchronization analysis of fractional-order octonion-valued neural networks with impulsive effectsJin Gao0Lihua Dai 11. School of Information, Yunnan Communications Vocational and Technical College, Kunming, Yunnan 650500, China2. School of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaThis 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.https://www.aimspress.com/article/doi/10.3934/math.2023102?viewType=HTMLoctonion algebrasynchronizationfractional-orderneural networksimpulsive effects |
| spellingShingle | Jin Gao Lihua Dai Asymptotic synchronization analysis of fractional-order octonion-valued neural networks with impulsive effects AIMS Mathematics octonion algebra synchronization fractional-order neural networks impulsive effects |
| title | Asymptotic synchronization analysis of fractional-order octonion-valued neural networks with impulsive effects |
| title_full | Asymptotic synchronization analysis of fractional-order octonion-valued neural networks with impulsive effects |
| title_fullStr | Asymptotic synchronization analysis of fractional-order octonion-valued neural networks with impulsive effects |
| title_full_unstemmed | Asymptotic synchronization analysis of fractional-order octonion-valued neural networks with impulsive effects |
| title_short | Asymptotic synchronization analysis of fractional-order octonion-valued neural networks with impulsive effects |
| title_sort | asymptotic synchronization analysis of fractional order octonion valued neural networks with impulsive effects |
| topic | octonion algebra synchronization fractional-order neural networks impulsive effects |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023102?viewType=HTML |
| work_keys_str_mv | AT jingao asymptoticsynchronizationanalysisoffractionalorderoctonionvaluedneuralnetworkswithimpulsiveeffects AT lihuadai asymptoticsynchronizationanalysisoffractionalorderoctonionvaluedneuralnetworkswithimpulsiveeffects |