{"title":"具有泄漏和离散延迟的离散时间分数阶 BAM 神经网络的完全同步化","authors":"","doi":"10.1016/j.neunet.2024.106705","DOIUrl":null,"url":null,"abstract":"<div><p>This paper concerns complete synchronization (CS) problem of discrete-time fractional-order BAM neural networks (BAMNNs) with leakage and discrete delays. Firstly, on the basis of Caputo fractional difference theory and nabla <span><math><mi>l</mi></math></span>-Laplace transform, two equations about the nabla sum are strictly proved. Secondly, two extended Halanay inequalities that are suitable for discrete-time fractional difference inequations with arbitrary initial time and multiple types of delays are introduced. In addition, through applying Caputo fractional difference theory and combining with inequalities gained from this paper, some sufficient CS criteria of discrete-time fractional-order BAMNNs with leakage and discrete delays are established under adaptive controller. Finally, one numerical simulation is utilized to certify the effectiveness of the obtained theoretical results.</p></div>","PeriodicalId":49763,"journal":{"name":"Neural Networks","volume":null,"pages":null},"PeriodicalIF":6.0000,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Complete synchronization of discrete-time fractional-order BAM neural networks with leakage and discrete delays\",\"authors\":\"\",\"doi\":\"10.1016/j.neunet.2024.106705\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper concerns complete synchronization (CS) problem of discrete-time fractional-order BAM neural networks (BAMNNs) with leakage and discrete delays. Firstly, on the basis of Caputo fractional difference theory and nabla <span><math><mi>l</mi></math></span>-Laplace transform, two equations about the nabla sum are strictly proved. Secondly, two extended Halanay inequalities that are suitable for discrete-time fractional difference inequations with arbitrary initial time and multiple types of delays are introduced. In addition, through applying Caputo fractional difference theory and combining with inequalities gained from this paper, some sufficient CS criteria of discrete-time fractional-order BAMNNs with leakage and discrete delays are established under adaptive controller. Finally, one numerical simulation is utilized to certify the effectiveness of the obtained theoretical results.</p></div>\",\"PeriodicalId\":49763,\"journal\":{\"name\":\"Neural Networks\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":6.0000,\"publicationDate\":\"2024-09-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Neural Networks\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0893608024006294\",\"RegionNum\":1,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Neural Networks","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0893608024006294","RegionNum":1,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE","Score":null,"Total":0}
Complete synchronization of discrete-time fractional-order BAM neural networks with leakage and discrete delays
This paper concerns complete synchronization (CS) problem of discrete-time fractional-order BAM neural networks (BAMNNs) with leakage and discrete delays. Firstly, on the basis of Caputo fractional difference theory and nabla -Laplace transform, two equations about the nabla sum are strictly proved. Secondly, two extended Halanay inequalities that are suitable for discrete-time fractional difference inequations with arbitrary initial time and multiple types of delays are introduced. In addition, through applying Caputo fractional difference theory and combining with inequalities gained from this paper, some sufficient CS criteria of discrete-time fractional-order BAMNNs with leakage and discrete delays are established under adaptive controller. Finally, one numerical simulation is utilized to certify the effectiveness of the obtained theoretical results.
期刊介绍:
Neural Networks is a platform that aims to foster an international community of scholars and practitioners interested in neural networks, deep learning, and other approaches to artificial intelligence and machine learning. Our journal invites submissions covering various aspects of neural networks research, from computational neuroscience and cognitive modeling to mathematical analyses and engineering applications. By providing a forum for interdisciplinary discussions between biology and technology, we aim to encourage the development of biologically-inspired artificial intelligence.