Finite time adaptive neural intermittent control for a class of nonlinear dynamical systems

Finite time adaptive neural intermittent control for a class of nonlinear dynamical systems | 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 Finite time adaptive neural intermittent control for a class of nonlinear dynamical systems Weifeng Wang, Junhao Hu, Jun Mei, Sixin Wang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2496525/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 In this paper, the semiglobal practical finite-time stable (SGPFTS) problem for a class of nonlinear nonstrict feedback systems is investigated by adaptive neural networks (NNs) intermittent control strategy. This work is motivated by that available differential inequalities to cope with intermittent control do not work for nonstrict feedback nonlinear system (NFNS), since the system dynamics is unknown. In order to deal with this problem, a novel differential inequality and adaptive neural intermittent control are established to handle intermittent control, which generalizes previous works. Then, based on this lemma with the proposed adaptive NNs intermittent control scheme, backstepping design process, finite-time technique and Lyapunov stability theory, sufficient conditions are presented to guarantee the achievement of SGPFTS for NFNS. Furthermore, a networked-based one-link arm dynamics system is applied to the theoretical results. Finally, corresponding simulation results are given to illustrate the effectiveness of the theoretical results and the practicability of the proposed control method. Adaptive neural networks Intermittent control Nonstrict feedback nonlinear systems Finite-time stable Backstepping design process Full Text 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-2496525","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":173414280,"identity":"a0943de4-6d83-408e-b634-8ea04449285c","order_by":0,"name":"Weifeng Wang","email":"","orcid":"","institution":"South-Central Minzu University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Weifeng","middleName":"","lastName":"Wang","suffix":""},{"id":173414281,"identity":"7c637887-c405-4670-9df0-3646c2a9d230","order_by":1,"name":"Junhao Hu","email":"","orcid":"","institution":"South-Central Minzu University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Junhao","middleName":"","lastName":"Hu","suffix":""},{"id":173414282,"identity":"988c9108-fce9-43e9-82cd-145a97015f80","order_by":2,"name":"Jun Mei","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA00lEQVRIiWNgGAWjYBACxgbm4z8+VNhAeA8KgMQBglrYEiRnnEmD8BIMiNDCwMBjIM3ZdpgELczTDhgYM7adl+eXPnvwAVCLHN+NBAIOm52QkFxw7rbhzL68ZAOgFmNJIrQcODyj7HaCwRkeMwmglsQNhLUkNjbzsJ0DaTH/AdRST4SWZGZmnrYDYFtA3k8wIKwljY1xxplkw5k9PMZAh0kYzjzzAL8Ww9n53xg+VNjJ8/PwGH4Axqk833ECthg2oPIl8CsHAXnCSkbBKBgFo2DEAwBNMEV5K80wpQAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0002-4148-0608","institution":"South-Central Minzu University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Jun","middleName":"","lastName":"Mei","suffix":""},{"id":173414283,"identity":"017f22f9-2dd5-4a6b-9d93-7305f9b28f20","order_by":3,"name":"Sixin Wang","email":"","orcid":"","institution":"South-Central Minzu University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Sixin","middleName":"","lastName":"Wang","suffix":""}],"badges":[],"createdAt":"2023-01-19 17:08:19","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-2496525/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-2496525/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":32571754,"identity":"c0dca28e-5d8d-4718-b2ee-17894af3c568","added_by":"auto","created_at":"2023-02-07 07:14:39","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":331164,"visible":true,"origin":"","legend":"","description":"","filename":"templateND.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2496525/v1_covered.pdf"}],"financialInterests":"","formattedTitle":"Finite time adaptive neural intermittent control for a class of nonlinear dynamical systems","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"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":"Adaptive neural networks, Intermittent control, Nonstrict feedback nonlinear systems, Finite-time stable, Backstepping design process","lastPublishedDoi":"10.21203/rs.3.rs-2496525/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-2496525/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In this paper, the semiglobal practical finite-time stable (SGPFTS) problem for a class of nonlinear nonstrict feedback systems is investigated by adaptive neural networks (NNs) intermittent control strategy. This work is motivated by that available differential inequalities to cope with intermittent control do not work for nonstrict feedback nonlinear system (NFNS), since the system dynamics is unknown. In order to deal with this problem, a novel differential inequality and adaptive neural intermittent control are established to handle intermittent control, which generalizes previous works. Then, based on this lemma with the proposed adaptive NNs intermittent control scheme, backstepping design process, finite-time technique and Lyapunov stability theory, sufficient conditions are presented to guarantee the achievement of SGPFTS for NFNS. Furthermore, a networked-based one-link arm dynamics system is applied to the theoretical results. 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