Global asymptotic stability of multiple time delays fractional-order neutral-type neural networks

Global asymptotic stability of multiple time delays fractional-order neutral-type neural networks | 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 Research Article Global asymptotic stability of multiple time delays fractional-order neutral-type neural networks Guoquan Liu, Yizhen Wang, Liping Chen, Hongyu Chu This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7998562/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 To address the stability problem of Riemann-Liouville fractional-order neural networks with discrete time-dependent delays, neutral-type delays, and unbounded distributed delays, this paper proposes a stability analysis method based on the Lyapunov-Krasovskii functional and linear matrix inequality (LMI) techniques. First, a Lyapunov-Krasovskii functional incorporating both fractional-order integral and derivative terms is constructed. Subsequently, based on the proposed functional, sufficient conditions ensuring the global asymptotic stability of the system’s equilibrium point are derived, which are expressed in the form of LMIs, making them convenient for verification using system parameters. Finally, the effectiveness and feasibility of the proposed method are validated through four numerical simulation examples. Distributed time delays Riemann-Liouville Fractional-order Linear matrix inequality Lyapunov functional 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-7998562","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":542584746,"identity":"c324fa30-1d25-40cc-a129-c15ad6372e4c","order_by":0,"name":"Guoquan Liu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA2UlEQVRIiWNgGAWjYFAC5gYGBgMGOQMwx8CCGC2MIC0GxgYMzCAtEsRqYTBI3ADWwkCEFnn3xMYHPwr+pG9n7z+64UeBBAN/e3cCXi2GZx42G/YYGOTu7DnMdrMH6DCJM2c34NcyI7FNGuiX3A03ktlu8AC1GEjkEtTS/huoJd0AqOXmH2K0yEsktjEDtSSAtNwmyhYDnofNkj0GxoYbzhw2uy1jIMFD0C/y7ckHP/z4IydvcLzx2c03f2zk+Nt7CdhyIAFVgAevcrAtDQkE1YyCUTAKRsFIBwC+FUaFCXLLzwAAAABJRU5ErkJggg==","orcid":"","institution":"East China University of Technology","correspondingAuthor":true,"prefix":"","firstName":"Guoquan","middleName":"","lastName":"Liu","suffix":""},{"id":542584747,"identity":"b745d5aa-041e-411e-8f97-1e78d9be8d9f","order_by":1,"name":"Yizhen Wang","email":"","orcid":"","institution":"East China University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Yizhen","middleName":"","lastName":"Wang","suffix":""},{"id":542584748,"identity":"3e4ac391-78ac-4b30-a43a-f8782f1b343b","order_by":2,"name":"Liping Chen","email":"","orcid":"","institution":"Hefei University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Liping","middleName":"","lastName":"Chen","suffix":""},{"id":542584749,"identity":"5213bbd6-fc55-4d54-b9aa-aed6c8087543","order_by":3,"name":"Hongyu Chu","email":"","orcid":"","institution":"Southwest University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Hongyu","middleName":"","lastName":"Chu","suffix":""}],"badges":[],"createdAt":"2025-10-31 12:38:32","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7998562/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7998562/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":96219911,"identity":"fa4b0e38-fc3a-4d78-b466-5f729e73fe8d","added_by":"auto","created_at":"2025-11-18 22:56:19","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":365937,"visible":true,"origin":"","legend":"","description":"","filename":"casscsample103101.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7998562/v1/2f2d3014184b0c218ac0780d.pdf"},{"id":96219910,"identity":"c9d9704c-45ac-4388-8a7d-6d2d494a159c","added_by":"auto","created_at":"2025-11-18 22:56:19","extension":"json","order_by":1,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":5208,"visible":true,"origin":"","legend":"","description":"","filename":"e35e684c6c434682af819e5e3ca97f7c.json","url":"https://assets-eu.researchsquare.com/files/rs-7998562/v1/beb1da0d2f4cd609b6769ef2.json"},{"id":96252940,"identity":"a233d98e-9000-4e07-a813-d0477479e394","added_by":"auto","created_at":"2025-11-19 07:41:41","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":387353,"visible":true,"origin":"","legend":"","description":"","filename":"casscsample103101.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7998562/v1_covered_e6957e71-64fa-4899-8075-f4f759840cf1.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Global asymptotic stability of multiple time delays fractional-order neutral-type neural networks","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"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":"Distributed time delays, Riemann-Liouville, Fractional-order, Linear matrix inequality, Lyapunov functional","lastPublishedDoi":"10.21203/rs.3.rs-7998562/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7998562/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eTo address the stability problem of Riemann-Liouville fractional-order neural networks with discrete time-dependent delays, neutral-type delays, and unbounded distributed delays, this paper proposes a stability analysis method based on the Lyapunov-Krasovskii functional and linear matrix inequality (LMI) techniques. First, a Lyapunov-Krasovskii functional incorporating both fractional-order integral and derivative terms is constructed. Subsequently, based on the proposed functional, sufficient conditions ensuring the global asymptotic stability of the system’s equilibrium point are derived, which are expressed in the form of LMIs, making them convenient for verification using system parameters. Finally, the effectiveness and feasibility of the proposed method are validated through four numerical simulation examples.\u003c/p\u003e","manuscriptTitle":"Global asymptotic stability of multiple time delays fractional-order neutral-type neural networks","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-11-18 22:56:14","doi":"10.21203/rs.3.rs-7998562/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","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}}],"origin":"","ownerIdentity":"59f1264a-3d1e-4b5a-b57b-6e47264f0347","owner":[],"postedDate":"November 18th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2026-04-24T08:39:33+00:00","versionOfRecord":[],"versionCreatedAt":"2025-11-18 22:56:14","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7998562","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7998562","identity":"rs-7998562","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}