Containment control for stochastic multiagent systems under denial-of-service attacks: a security-adaptive multichannel event-triggered control method

Containment control for stochastic multiagent systems under denial-of-service attacks: a security-adaptive multichannel event-triggered control method | 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 Containment control for stochastic multiagent systems under denial-of-service attacks: a security-adaptive multichannel event-triggered control method Wei Qian, Shuo Wu, Manman Yuan, Lei Wang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7366274/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 24 Feb, 2026 Read the published version in Nonlinear Dynamics → Version 1 posted 11 You are reading this latest preprint version Abstract This paper is concerned with the event-triggered containment control issue for a class of stochastic nonlinear multiagent systems (MASs) under aperiodic denial-of-service (DoS) attacks. Unlike the existing event-triggered mechanisms (ETMs), a security-adaptive multichannel ETM (SAMETM) is proposed,in which the controller-to-actuator (C-A), parameter estimator-to-controller (PE-C) and sensor-to-observer (S-O) channels can be triggered simultaneously. In order to overcome the problem that the backstepping method cannot be used, due to existence of the non-differentiable terms in the triggered parameter estimator (TPE), a dynamic differentiable scaling method based on SAMETM is proposed. Furthermore, a set of switching-like observers are constructed, which collaborates with the proposed SAMETM to effectively reduce the impact of multiple channels subjected to aperiodic DoS attacks. Then, through the construction of multiple Lyapunov function, the less conservative feasibility conditions are derived for the cooperative design of switching-like observers and controllers. Subsequently,it can be proved that the containment errors are semi-globally uniformly ultimately bounded (SUUB) under aperiodic DoS attacks. Finally, simulation results verify the effectiveness of the proposed control strategy. Containment control security-adaptive multichannel event-triggered mechanism (SAMETM) aperiodic denial-of-service (DoS) attacks switchinglike observer stochastic nonlinear multiagent systems (MASs) Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 24 Feb, 2026 Read the published version in Nonlinear Dynamics → Version 1 posted Editorial decision: Revision requested 28 Sep, 2025 Reviews received at journal 27 Sep, 2025 Reviews received at journal 22 Sep, 2025 Reviews received at journal 16 Sep, 2025 Reviewers agreed at journal 28 Aug, 2025 Reviewers agreed at journal 28 Aug, 2025 Reviewers agreed at journal 28 Aug, 2025 Reviewers invited by journal 28 Aug, 2025 Editor assigned by journal 23 Aug, 2025 Submission checks completed at journal 14 Aug, 2025 First submitted to journal 13 Aug, 2025 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. 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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-7366274","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":507155289,"identity":"845cc75c-4d5c-4cac-a694-7930ead68c91","order_by":0,"name":"Wei Qian","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAr0lEQVRIiWNgGAWjYJCCw0Asx8befoA0LcZ8PGcSiNfCDMSJ8yQcDIhTzncj+eDhwh2H09skGBIYflRsI6xF8kZawuGZZw7ntkk3HmDsOXObsBaD2zkGh3nbgFpkDiQwM7YRpSX/A0hLOptEggGxWnIYQFoSiNcief8Z0GFn0g3bgIF8kCi/8J05/Pgz7w5refn29oMPflQQoYXhABAzNiDYJGoZBaNgFIyCUYAVAABwrEGathUhIgAAAABJRU5ErkJggg==","orcid":"","institution":"Henan Polytechnic University","correspondingAuthor":true,"prefix":"","firstName":"Wei","middleName":"","lastName":"Qian","suffix":""},{"id":507155290,"identity":"09bd948f-4d1e-48f4-8b5b-a48b185977f4","order_by":1,"name":"Shuo Wu","email":"","orcid":"","institution":"Henan Polytechnic University","correspondingAuthor":false,"prefix":"","firstName":"Shuo","middleName":"","lastName":"Wu","suffix":""},{"id":507155291,"identity":"49013ee0-d07a-4cd8-a010-2dea4852deb0","order_by":2,"name":"Manman Yuan","email":"","orcid":"","institution":"Henan Polytechnic University","correspondingAuthor":false,"prefix":"","firstName":"Manman","middleName":"","lastName":"Yuan","suffix":""},{"id":507155292,"identity":"fe546129-5298-4e25-ad2f-20b4864b9324","order_by":3,"name":"Lei Wang","email":"","orcid":"","institution":"Beihang University","correspondingAuthor":false,"prefix":"","firstName":"Lei","middleName":"","lastName":"Wang","suffix":""}],"badges":[],"createdAt":"2025-08-13 15:08:12","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7366274/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7366274/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s11071-025-12107-x","type":"published","date":"2026-02-24T15:58:33+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":103765645,"identity":"d0b977f4-a829-47f2-8cf7-9aec1a87134b","added_by":"auto","created_at":"2026-03-02 16:06:33","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1552116,"visible":true,"origin":"","legend":"","description":"","filename":"nonlinear.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7366274/v1_covered_340fd65b-b9d6-49fd-ae0a-d54d19c966cd.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Containment control for stochastic multiagent systems under denial-of-service attacks: a security-adaptive multichannel event-triggered control method","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"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":"nonlinear-dynamics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"nody","sideBox":"Learn more about [Nonlinear Dynamics](https://www.springer.com/journal/11071)","snPcode":"11071","submissionUrl":"https://submission.nature.com/new-submission/11071/3","title":"Nonlinear Dynamics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Containment control, security-adaptive multichannel event-triggered mechanism (SAMETM), aperiodic denial-of-service (DoS) attacks, switchinglike observer, stochastic nonlinear multiagent systems (MASs)","lastPublishedDoi":"10.21203/rs.3.rs-7366274/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7366274/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This paper is concerned with the event-triggered containment control issue for a class of stochastic nonlinear multiagent systems (MASs) under aperiodic denial-of-service (DoS) attacks. Unlike the existing event-triggered mechanisms (ETMs), a security-adaptive multichannel ETM (SAMETM) is proposed,in which the controller-to-actuator (C-A), parameter estimator-to-controller (PE-C) and sensor-to-observer (S-O) channels can be triggered simultaneously. In order to overcome the problem that the backstepping method cannot be used, due to existence of the non-differentiable terms in the triggered parameter estimator (TPE), a dynamic differentiable scaling method based on SAMETM is proposed. Furthermore, a set of switching-like observers are constructed, which collaborates with the proposed SAMETM to effectively reduce the impact of multiple channels subjected to aperiodic DoS attacks. Then, through the construction of multiple Lyapunov function, the less conservative feasibility conditions are derived for the cooperative design of switching-like observers and controllers. Subsequently,it can be proved that the containment errors are semi-globally uniformly ultimately bounded (SUUB) under aperiodic DoS attacks. 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