Mean-Square Bounded Consensus of Nonlinear Multi-Agent Systems with Time-Varying Delays via Impulsive Control Under Dual-Channel Stochastic Switching Deception Attacks

Mean-Square Bounded Consensus of Nonlinear Multi-Agent Systems with Time-Varying Delays via Impulsive Control Under Dual-Channel Stochastic Switching Deception Attacks | 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 Mean-Square Bounded Consensus of Nonlinear Multi-Agent Systems with Time-Varying Delays via Impulsive Control Under Dual-Channel Stochastic Switching Deception Attacks Xin Zhang, Xingcheng Pu, Liangzhi Xu, Yongfeng Wu This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-8091073/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 11 Mar, 2026 Read the published version in International Journal of Dynamics and Control → Version 1 posted You are reading this latest preprint version Abstract This paper presents a novel dual-channel stochastic deceptive attack scheme, designed for multi-agent systems (MASs) utilizing directional network structures. The scheme compromises both sensor-controller (S-C) and controller-actuator (C-A) channels with distinct tampered signals during variable impulsive control intervals. To counter these attacks, an adaptive secure impulsive coordination strategy has been developed for a kind of non-linear Multi-Agent Systems with time-varying and dynamic switching capabilities. In this model, the stochastic selection of compromised channels obeys Bernoulli distributions. Based on Lyapunov's stability theorem, methods of matrix analysis, and linear matrix inequality techniques, adequate conditions are established to guarantee consensus in the mean-square sense with bounded errors for the system. Our key contributions include: (i) Novel criteria guaranteeing error-bounded consensus with explicit residual disagreement bounds; (ii) The first framework integrating dual-channel stochastic attacks with adaptive impulsive defense and time-varying delay functions; (iii) Analytical quantification of attack impacts on consensus precision. Two simulation cases are given to address the effectiveness of the derived results. Deception attacks impulsive control dual-channel stochastic switching multi-agent systems time-varying delays Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 11 Mar, 2026 Read the published version in International Journal of Dynamics and Control → 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-8091073","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":549938943,"identity":"6463ddb2-bc12-4ff9-b4ea-38a721295bf0","order_by":0,"name":"Xin Zhang","email":"","orcid":"","institution":"Tongling University","correspondingAuthor":false,"prefix":"","firstName":"Xin","middleName":"","lastName":"Zhang","suffix":""},{"id":549938944,"identity":"7fb536ae-948c-4236-909d-dcbadd86071d","order_by":1,"name":"Xingcheng 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Impulsive Control Under Dual-Channel Stochastic Switching Deception Attacks","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":"Deception attacks, impulsive control, dual-channel stochastic switching, multi-agent systems, time-varying delays","lastPublishedDoi":"10.21203/rs.3.rs-8091073/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8091073/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This paper presents a novel dual-channel stochastic deceptive attack scheme, designed for multi-agent systems (MASs) utilizing directional network structures.\n The scheme compromises both sensor-controller (S-C) and controller-actuator (C-A) channels with distinct tampered signals during variable impulsive control intervals. To counter these attacks, an adaptive secure impulsive coordination strategy has been developed for a kind of non-linear Multi-Agent Systems with time-varying and dynamic switching capabilities. In this model, the stochastic selection of compromised channels obeys Bernoulli distributions.\nBased on Lyapunov's stability theorem, methods of matrix analysis, and linear matrix inequality techniques, adequate conditions are established to guarantee consensus in the mean-square sense with bounded errors for the system.\n Our key contributions include:\n(i) Novel criteria guaranteeing error-bounded consensus with explicit residual disagreement bounds;\n(ii) The first framework integrating dual-channel stochastic attacks with adaptive impulsive defense and time-varying delay functions;\n(iii) Analytical quantification of attack impacts on consensus precision.\nTwo simulation cases are given to address the effectiveness of the derived results.","manuscriptTitle":"Mean-Square Bounded Consensus of Nonlinear Multi-Agent Systems with Time-Varying Delays via Impulsive Control Under Dual-Channel Stochastic Switching Deception Attacks","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-11-25 10:51:14","doi":"10.21203/rs.3.rs-8091073/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":"b7c834b5-3def-4bf1-a34b-07db6ec2b024","owner":[],"postedDate":"November 25th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2026-03-16T16:14:04+00:00","versionOfRecord":{"articleIdentity":"rs-8091073","link":"https://doi.org/10.1007/s40435-026-02046-9","journal":{"identity":"international-journal-of-dynamics-and-control","isVorOnly":false,"title":"International Journal of Dynamics and Control"},"publishedOn":"2026-03-11 16:00:20","publishedOnDateReadable":"March 11th, 2026"},"versionCreatedAt":"2025-11-25 10:51:14","video":"","vorDoi":"10.1007/s40435-026-02046-9","vorDoiUrl":"https://doi.org/10.1007/s40435-026-02046-9","workflowStages":[]},"version":"v1","identity":"rs-8091073","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-8091073","identity":"rs-8091073","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}