Direct-Analysis-Based Fixed/Preassigned-Time Synchronization of Quaternion-Valued Stochastic BAM Neural Networks with Discontinuous Activations

Direct-Analysis-Based Fixed/Preassigned-Time Synchronization of Quaternion-Valued Stochastic BAM Neural Networks with Discontinuous Activations | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Direct-Analysis-Based Fixed/Preassigned-Time Synchronization of Quaternion-Valued Stochastic BAM Neural Networks with Discontinuous Activations Mairemunisa Abudusaimaiti, Abuduwali Abudukeremu This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7380769/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This paper presents a comprehensive study on the analysis and synchronization of Quaternion-valued Bidirectional Associative Memory (QBAM) neural networks. Departing from previous separate analysis methods, it adopts a direct analytical approach based on the quaternion-valued sign function and its associated properties. To clarify the comprehensive impact of impulsive and random phenomena on synchronization behavior, this paper pioneers an investigation into the fixed/preassigned-time synchronization of QBAM neural networks with randomness and impulses. Additionally, it challenges the assumption in existing literature that activation functions must be continuous by employing discontinuous activation functions. Finally, theoretical analysis and numerical simulations demonstrate the effectiveness of the proposed control protocol in achieving synchronization under impulsive and random effects. Physical sciences/Engineering Physical sciences/Mathematics and computing Biological sciences/Neuroscience Physical sciences/Physics Quaternion-valued BAM neural network Impulsive Stochastic disturbance Discontinuous activation function Fixed/Preassigned-time synchronization Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-7380769","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":500954233,"identity":"5faa5f2e-1483-4238-a8d0-a53bfa2e506d","order_by":0,"name":"Mairemunisa Abudusaimaiti","email":"","orcid":"","institution":"Kashi University","correspondingAuthor":false,"prefix":"","firstName":"Mairemunisa","middleName":"","lastName":"Abudusaimaiti","suffix":""},{"id":500954234,"identity":"7ffbd111-c52a-4b55-ab66-d9e0de04ce8c","order_by":1,"name":"Abuduwali Abudukeremu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6UlEQVRIie3RMWvCQBTA8RcOzuWp60kkbs5pM7Yf5h6BTCl1zODgUEyhyX79FnXr5ongdO6OkYBzXYqTVlwtSdwc7je/P7zHA7CsO8QH5aI84AmddEKFTMb1SQeiMIA+81imS78wq/rEg3jowjMLWop2ve0ba7AYGO6OYk65CqOEJhy66YesTpx8+aQM0me2izb03Qdh1l/VCevQpp0JmqXxOTEcfPFSk3D0Rfvo01y//o5oyhokiI8uogycdxlBs0Tw8EGh9pxMh0KaFdbeMlBsUfygvrxyf0jGXjfNq5MreNu4ZVmW9a8/kNFLVK24smgAAAAASUVORK5CYII=","orcid":"","institution":"Kashi University","correspondingAuthor":true,"prefix":"","firstName":"Abuduwali","middleName":"","lastName":"Abudukeremu","suffix":""}],"badges":[],"createdAt":"2025-08-15 10:53:22","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7380769/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7380769/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":89283956,"identity":"a47af187-89f2-49a1-b1eb-14ff69ef14be","added_by":"auto","created_at":"2025-08-18 11:00:28","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1960229,"visible":true,"origin":"","legend":"","description":"","filename":"DirectAnalysisBasedFixedPreassignedTime.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7380769/v1_covered_846f9a02-f560-4a95-b7a1-abfec6b44680.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Direct-Analysis-Based Fixed/Preassigned-Time Synchronization of Quaternion-Valued Stochastic BAM Neural Networks with Discontinuous Activations","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Quaternion-valued BAM neural network, Impulsive, Stochastic disturbance, Discontinuous activation function, Fixed/Preassigned-time synchronization","lastPublishedDoi":"10.21203/rs.3.rs-7380769/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7380769/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This paper presents a comprehensive study on the analysis and synchronization of Quaternion-valued Bidirectional Associative Memory (QBAM) neural networks. 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