{"title":"Quasi-synchronization of fractional-order complex-value BAM neural networks with time delays and discontinuous activations","authors":"Libo Wang, Guigui Xu","doi":"10.1007/s40314-024-02903-3","DOIUrl":null,"url":null,"abstract":"<p>This paper explores quasi-synchronization for a class of fractional-order complex-valued BAM neural networks (FCBAMNNs) with time delays, discontinuous activation functions, and uncertainties. Firstly, by utilizing Laplace transform and the Mittag–Leffler function property, a novel fractional differential inequality is derived. Then, sufficient conditions are obtained to ensure the quasi-synchronization for the considered FCBAMNNs by means of non-decomposable method. Additionally, the error bound of synchronization is explicitly evaluated. Finally, a numerical example is provided to validate the proposed results.</p>","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"9 1","pages":""},"PeriodicalIF":2.6000,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s40314-024-02903-3","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper explores quasi-synchronization for a class of fractional-order complex-valued BAM neural networks (FCBAMNNs) with time delays, discontinuous activation functions, and uncertainties. Firstly, by utilizing Laplace transform and the Mittag–Leffler function property, a novel fractional differential inequality is derived. Then, sufficient conditions are obtained to ensure the quasi-synchronization for the considered FCBAMNNs by means of non-decomposable method. Additionally, the error bound of synchronization is explicitly evaluated. Finally, a numerical example is provided to validate the proposed results.
期刊介绍：
Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics).
The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.
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