IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v350y2019icp48-59.html
   My bibliography  Save this article

Iterative learning control for differential inclusions of parabolic type with noninstantaneous impulses

Author

Listed:
  • Liu, Shengda
  • Wang, JinRong
  • Shen, Dong
  • O’Regan, Donal

Abstract

In this paper, we present a numerical solution for a finite time complete tracking problem based on the iterative learning control technique for dynamical systems governed by partial differential inclusions of parabolic type with noninstantaneous impulses. By imposing a standard Lipschitz condition on a set-valued mapping and applying conventional P-type updating laws with an initial iterative learning mechanism, we successfully establish an iterative learning process for the tracking problem and conduct a novel convergence analysis with the help of Steiner-type selectors. Sufficient conditions are presented for ensuring asymptotical convergence of the tracking error to zero. Numerical examples are provided to verify the effectiveness of the proposed method with a suitable selection of set-valued mappings.

Suggested Citation

  • Liu, Shengda & Wang, JinRong & Shen, Dong & O’Regan, Donal, 2019. "Iterative learning control for differential inclusions of parabolic type with noninstantaneous impulses," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 48-59.
    • Handle: RePEc:eee:apmaco:v:350:y:2019:i:c:p:48-59
    DOI: 10.1016/j.amc.2018.12.058
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300318311196
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2018.12.058?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Yan Li & YangQuan Chen & Hyo-Sung Ahn & Guohui Tian, 2013. "A Survey on Fractional-Order Iterative Learning Control," Journal of Optimization Theory and Applications, Springer, vol. 156(1), pages 127-140, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yu Chen & JinRong Wang, 2019. "Continuous Dependence of Solutions of Integer and Fractional Order Non-Instantaneous Impulsive Equations with Random Impulsive and Junction Points," Mathematics, MDPI, vol. 7(4), pages 1-13, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yiheng Wei & Bin Du & Songsong Cheng & Yong Wang, 2017. "Fractional Order Systems Time-Optimal Control and Its Application," Journal of Optimization Theory and Applications, Springer, vol. 174(1), pages 122-138, July.
    2. Chen, Qian & Debbouche, Amar & Luo, Zijian & Wang, JinRong, 2017. "Impulsive fractional differential equations with Riemann–Liouville derivative and iterative learning control," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 111-118.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:350:y:2019:i:c:p:48-59. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.