Stabilization of Semi-Markovian Jumping Uncertain Complex-valued Networks with Time-varying Delay: A Sliding-Mode Control Approach

Stabilization of Semi-Markovian Jumping Uncertain Complex-valued Networks with Time-varying Delay: A Sliding-Mode Control Approach | 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 Stabilization of Semi-Markovian Jumping Uncertain Complex-valued Networks with Time-varying Delay: A Sliding-Mode Control Approach Qiang Li, Hanqing Wei, Dingli Hua This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3244753/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 18 Mar, 2024 Read the published version in Neural Processing Letters → Version 1 posted 8 You are reading this latest preprint version Abstract This paper pays close attention to the stabilization issue for delayed uncertain semi-Markovian jumping complex-valued networks via sliding mode control. The concerned corresponding transition rates depend on a positive constant, i.e., sojourn-time, which is not required to obey the general exponential distribution. Combine the generalized Dynkin’s formula with Lyapunov stability theory as well as the characteristics of cumulative distribution functions, a few sufficient criteria are proposed to ascertain the stochastic stability of the obtained sliding mode dynamical system. In addition, design a novel sliding mode controller to ensure all state trajectories of the potential closed-loop system can reach the synthesized sliding mode switching surface in a finite time and maintain there in the subsequent time. In the end of paper, one simple example is presented to verify superiority and feasibility of the provided controller design scheme. Complex-valued networks Stabilization Semi-Markovian jumping Sojourn-time Sliding-mode control Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 18 Mar, 2024 Read the published version in Neural Processing Letters → Version 1 posted Editorial decision: Major revision 06 Sep, 2023 Reviews received at journal 13 Aug, 2023 Reviewers agreed at journal 09 Aug, 2023 Reviewers agreed at journal 09 Aug, 2023 Reviewers invited by journal 09 Aug, 2023 Submission checks completed at journal 09 Aug, 2023 Editor assigned by journal 09 Aug, 2023 First submitted to journal 08 Aug, 2023 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-3244753","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":225087473,"identity":"ea0c19f1-da1a-4712-84de-b2e57fd68a6a","order_by":0,"name":"Qiang Li","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA9UlEQVRIiWNgGAWjYHACxgMJDBJAmvkAM0QggbAeqBa2BBK0QCgeA+K0yLf3GBx4UGYhb86/5uPngprDDPzsOQYMP3fg1mJw5ozBgYRzEoY7Z7zdLD3j2GEGyZ43Boy9Z/BokcgxOJDYJsG44cbZDdI8bIcZDG7kGDAztuFx2Pw3YC32G26cefyb599hBntCWhhu8IC1JG4438Mmzdt2GGwvXi0GZ9IKQH5J3nCDzcyaty+dR+LMs4KDvfgc1n5448MfZXW2G84ffnyb55u1HH978sYHP/E5DAzYgFgiAczkAREHCGmAaOEnQt0oGAWjYBSMTAAAieFV6hOwZrIAAAAASUVORK5CYII=","orcid":"","institution":"Anhui Agricultural University","correspondingAuthor":true,"prefix":"","firstName":"Qiang","middleName":"","lastName":"Li","suffix":""},{"id":225087474,"identity":"4e29736c-e5d1-4860-af60-0dd75dab4506","order_by":1,"name":"Hanqing Wei","email":"","orcid":"","institution":"Anhui Agricultural University","correspondingAuthor":false,"prefix":"","firstName":"Hanqing","middleName":"","lastName":"Wei","suffix":""},{"id":225087475,"identity":"35c735c4-389b-4fad-89e9-af7d8f9aca70","order_by":2,"name":"Dingli Hua","email":"","orcid":"","institution":"Jiangxi University of Finance and Economics","correspondingAuthor":false,"prefix":"","firstName":"Dingli","middleName":"","lastName":"Hua","suffix":""}],"badges":[],"createdAt":"2023-08-08 08:59:19","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3244753/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3244753/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s11063-024-11585-1","type":"published","date":"2024-03-18T15:01:12+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":53404420,"identity":"c9d31a08-299d-48ad-8a05-364ce7cd3c1b","added_by":"auto","created_at":"2024-03-25 15:17:17","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":637454,"visible":true,"origin":"","legend":"","description":"","filename":"NPL.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3244753/v1_covered_5938f823-57c7-4e7f-9505-1b0dfac49110.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Stabilization of Semi-Markovian Jumping Uncertain Complex-valued Networks with Time-varying Delay: A Sliding-Mode Control Approach","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":"neural-processing-letters","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"nepl","sideBox":"Learn more about [Neural Processing Letters](http://link.springer.com/journal/11063)","snPcode":"11063","submissionUrl":"https://submission.nature.com/new-submission/11063/3","title":"Neural Processing Letters","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Complex-valued networks, Stabilization, Semi-Markovian jumping, Sojourn-time, Sliding-mode control","lastPublishedDoi":"10.21203/rs.3.rs-3244753/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3244753/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This paper pays close attention to the stabilization issue for delayed uncertain semi-Markovian jumping complex-valued networks via sliding mode control. The concerned corresponding transition rates depend on a positive constant, i.e., sojourn-time, which is not required to obey the general exponential distribution. Combine the generalized Dynkin’s formula with Lyapunov stability theory as well as the characteristics of cumulative distribution functions, a few sufficient criteria are proposed to ascertain the stochastic stability of the obtained sliding mode dynamical system. In addition, design a novel sliding mode controller to ensure all state trajectories of the potential closed-loop system can reach the synthesized sliding mode switching surface in a finite time and maintain there in the subsequent time. In the end of paper, one simple example is presented to verify superiority and feasibility of the provided controller design scheme.","manuscriptTitle":"Stabilization of Semi-Markovian Jumping Uncertain Complex-valued Networks with Time-varying Delay: A Sliding-Mode Control Approach","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2023-08-14 02:27:32","doi":"10.21203/rs.3.rs-3244753/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Major revision","date":"2023-09-06T11:49:38+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2023-08-13T13:43:44+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"f83d0d23-fbc4-4203-9c9f-00d20285cadc","date":"2023-08-10T01:41:16+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"d880a147-67c2-4cb9-835f-be885d5144f4","date":"2023-08-10T01:29:40+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2023-08-09T23:28:33+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2023-08-09T04:18:18+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2023-08-09T04:18:18+00:00","index":"","fulltext":""},{"type":"submitted","content":"Neural Processing Letters","date":"2023-08-08T08:49:54+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"neural-processing-letters","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"nepl","sideBox":"Learn more about [Neural Processing Letters](http://link.springer.com/journal/11063)","snPcode":"11063","submissionUrl":"https://submission.nature.com/new-submission/11063/3","title":"Neural Processing Letters","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"a08c3b49-c9e5-48c7-abf9-ee72bd27345f","owner":[],"postedDate":"August 14th, 2023","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[],"tags":[],"updatedAt":"2024-03-25T15:15:01+00:00","versionOfRecord":{"articleIdentity":"rs-3244753","link":"https://doi.org/10.1007/s11063-024-11585-1","journal":{"identity":"neural-processing-letters","isVorOnly":false,"title":"Neural Processing Letters"},"publishedOn":"2024-03-18 15:01:12","publishedOnDateReadable":"March 18th, 2024"},"versionCreatedAt":"2023-08-14 02:27:32","video":"","vorDoi":"10.1007/s11063-024-11585-1","vorDoiUrl":"https://doi.org/10.1007/s11063-024-11585-1","workflowStages":[]},"version":"v1","identity":"rs-3244753","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-3244753","identity":"rs-3244753","version":["v1"]},"buildId":"_2-kVJe1T_tPrBINL-cwx","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}