{"title":"Complete synchronization of discrete-time variable-order fractional neural networks with time delays","authors":"Tong Li , Hong-Li Li , Long Zhang , Song Zheng","doi":"10.1016/j.cjph.2024.08.022","DOIUrl":null,"url":null,"abstract":"<div><p>This paper investigates complete synchronization of discrete-time variable-order fractional neural networks (DVFNNs) with time delays. By discrete inequality technologies and nabla Laplace transform, two stability lemmas are derived which are generalizations of the constant-order case. Furthermore, several complete synchronization criteria for DVFNNs are proposed by utilizing inequality techniques and Lyapunov method. Finally, a numerical example is provided to verify the theoretical results. This paper also provides a stability analysis method for variable-order fractional discrete-time systems.</p></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"91 ","pages":"Pages 883-894"},"PeriodicalIF":4.6000,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chinese Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S057790732400323X","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
This paper investigates complete synchronization of discrete-time variable-order fractional neural networks (DVFNNs) with time delays. By discrete inequality technologies and nabla Laplace transform, two stability lemmas are derived which are generalizations of the constant-order case. Furthermore, several complete synchronization criteria for DVFNNs are proposed by utilizing inequality techniques and Lyapunov method. Finally, a numerical example is provided to verify the theoretical results. This paper also provides a stability analysis method for variable-order fractional discrete-time systems.
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