IDEAS home Printed from https://ideas.repec.org/a/spr/jglopt/v76y2020i3d10.1007_s10898-018-00732-3.html
   My bibliography  Save this article

On feedback strengthening of the maximum principle for measure differential equations

Author

Listed:
  • Maxim Staritsyn

    (Siberian Branch of the Russian Academy of Sciences)

  • Stepan Sorokin

    (Siberian Branch of the Russian Academy of Sciences)

Abstract

For a class of nonlinear nonconvex impulsive control problems with states of bounded variation driven by Borel measures, we derive a new type non-local necessary optimality condition, named impulsive feedback maximum principle. This optimality condition is expressed completely within the objects of the impulsive maximum principle (IMP), while employs certain “feedback variations” of impulsive control. The obtained optimality condition is shown to, potentially, discard non-optimal IMP-extrema, and can be viewed as a deterministic non-local iterative algorithm for optimal impulsive control.

Suggested Citation

  • Maxim Staritsyn & Stepan Sorokin, 2020. "On feedback strengthening of the maximum principle for measure differential equations," Journal of Global Optimization, Springer, vol. 76(3), pages 587-612, March.
  • Handle: RePEc:spr:jglopt:v:76:y:2020:i:3:d:10.1007_s10898-018-00732-3
    DOI: 10.1007/s10898-018-00732-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10898-018-00732-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10898-018-00732-3?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. Elena Goncharova & Maxim Staritsyn, 2012. "Optimization of Measure-Driven Hybrid Systems," Journal of Optimization Theory and Applications, Springer, vol. 153(1), pages 139-156, April.
    Full references (including those not matched with items on IDEAS)

    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. Rachůnková, Irena & Rachůnek, Lukáš & Rontó, András & Rontó, Miklós, 2016. "A constructive approach to boundary value problems with state-dependent impulses," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 726-744.

    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:spr:jglopt:v:76:y:2020:i:3:d:10.1007_s10898-018-00732-3. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.