Switching Fuzzy Sliding Mode Control of BipartiteSynchronization in Signed Lure Networks under Quantized ´and Pinning Control

Switching Fuzzy Sliding Mode Control of BipartiteSynchronization in Signed Lure Networks under Quantized ´and Pinning Control | 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 Switching Fuzzy Sliding Mode Control of BipartiteSynchronization in Signed Lure Networks under Quantized ´and Pinning Control Suresh Rasappan, Sathish Kumar Kumaravel, Regan Murugesan This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6512814/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 study explores bipartite synchronization in signed Lur’e networks through a fuzzy sliding mode control framework enhanced with switching logic, quantization, and pinning mechanisms. The network topology is considered structurally balanced, encompassing both cooperative and antagonistic interactions among nodes. To model nonlinearities effectively, a Takagi–Sugeno fuzzy approach is employed, and a set of switching surfaces is constructed to mitigate the effects of uncertainty and quantized signals. Conditions ensuring synchronization in both leaderless and leader-following configurations are established using Lyapunov-based analysis and linear matrix inequality formulations. Simulation results confirm the capability of the proposed method, offering notable improvements in stability and convergence when compared to traditional strategies. Mathematics Subject Classification (2020) MSC code1 · MSC code2 · more Bipartite synchronization Lur’e networks Fuzzy Sliding Mode Quantized control Pinning Control 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-6512814","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":448400208,"identity":"bb9e605a-9f64-4396-a06a-98a8c890acc2","order_by":0,"name":"Suresh Rasappan","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA4klEQVRIiWNgGAWjYDADA/b2gw+ANA8f8Vp4ziQbgLSwEa9FIsFMAsQgqEV39tnDn3n32Nib8xxIq/yaYyfDxsD88NENPFrMzuWlSfM8S0vc2d547LbstmSgw9iMjXPwaTnDY8bMc+BwgsGZA2m3JbcxA7XwsEkT0GL8mefAf3uDGwlmxZLb6onSYiDNc+AA4wagFsaP2w4To4UvTXLOgeTEDWfOJEszbjvOw8ZM0C+8hz+8OWBnb3C8/eDHn9uq7fnZmx8+xqcFGHcIJjOYzYxXOZoWxh8EVY+CUTAKRsFIBAA9ZEiDKoW5EAAAAABJRU5ErkJggg==","orcid":"","institution":"University of Technology and Applied Sciences, Ibri","correspondingAuthor":true,"prefix":"","firstName":"Suresh","middleName":"","lastName":"Rasappan","suffix":""},{"id":448400209,"identity":"ec9f456c-2c8e-454f-be03-aaaafbb37b12","order_by":1,"name":"Sathish Kumar Kumaravel","email":"","orcid":"","institution":"Vel Tech Rangarajan Dr. Sagunthala R\u0026D Institute of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Sathish","middleName":"Kumar","lastName":"Kumaravel","suffix":""},{"id":448400211,"identity":"12ff2be0-a0b7-4dbf-97c7-029e4e5de2b0","order_by":2,"name":"Regan Murugesan","email":"","orcid":"","institution":"Vel Tech Rangarajan Dr. Sagunthala R\u0026D Institute of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Regan","middleName":"","lastName":"Murugesan","suffix":""}],"badges":[],"createdAt":"2025-04-23 12:53:25","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6512814/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6512814/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":81748691,"identity":"cf34ba23-55f5-473f-a6e4-5d6b3105049f","added_by":"auto","created_at":"2025-05-01 05:32:27","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":726047,"visible":true,"origin":"","legend":"","description":"","filename":"SpringerNonlinear1.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6512814/v1_covered_7ed66fff-8dc9-4c5d-95bb-c1e86648fcc7.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Switching Fuzzy Sliding Mode Control of BipartiteSynchronization in Signed Lure Networks under Quantized ´and Pinning Control","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"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":"Bipartite synchronization, Lur’e networks, Fuzzy Sliding Mode, Quantized control, Pinning Control","lastPublishedDoi":"10.21203/rs.3.rs-6512814/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6512814/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThis study explores bipartite synchronization in signed Lur’e networks through a fuzzy sliding mode control framework enhanced with switching logic, quantization, and pinning mechanisms. 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