• Login
    View Item 
    •   Home
    • Research
    • Articles
    • View Item
    •   Home
    • Research
    • Articles
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of KAUSTCommunitiesIssue DateSubmit DateThis CollectionIssue DateSubmit Date

    My Account

    Login

    Quick Links

    Open Access PolicyORCID LibguideTheses and Dissertations LibguideSubmit an Item

    Statistics

    Display statistics

    Exponential decay for negative feedback loop with distributed delay

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    Haskovec-AML.pdf
    Size:
    255.2Kb
    Format:
    PDF
    Description:
    Accepted manuscript
    Download
    Type
    Article
    Authors
    Haskovec, Jan cc
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Date
    2020-04-24
    Online Publication Date
    2020-04-24
    Print Publication Date
    2020-09
    Embargo End Date
    2022-04-24
    Submitted Date
    2020-03-24
    Permanent link to this record
    http://hdl.handle.net/10754/662736
    
    Metadata
    Show full item record
    Abstract
    We derive sufficient conditions for exponential decay of solutions of the delay negative feedback equation with distributed delay. The conditions are written in terms of exponential moments of the distribution. Our method only uses elementary tools of calculus and is robust towards possible extensions to more complex settings, in particular, systems of delay differential equations. We illustrate the applicability of the method to particular distributions — Dirac delta, Gamma distribution, uniform and truncated normal distributions.
    Citation
    Haskovec, J. (2020). Exponential decay for negative feedback loop with distributed delay. Applied Mathematics Letters, 107, 106419. doi:10.1016/j.aml.2020.106419
    Sponsors
    JH acknowledges the support of the KAUST baseline funds. This work was done partially while the author was visiting the Institute for Mathematical Sciences, National University of Singapore in 2019. The visit was supported by the Institute.
    Publisher
    Elsevier BV
    Journal
    Applied Mathematics Letters
    DOI
    10.1016/j.aml.2020.106419
    Additional Links
    https://linkinghub.elsevier.com/retrieve/pii/S0893965920301907
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.aml.2020.106419
    Scopus Count
    Collections
    Articles; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

    entitlement

     
    DSpace software copyright © 2002-2023  DuraSpace
    Quick Guide | Contact Us | KAUST University Library
    Open Repository is a service hosted by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items. For anonymous users the allowed maximum amount is 50 search results.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.