IDEAS home Printed from https://ideas.repec.org/p/wop/iasawp/ir97030.html
   My bibliography  Save this paper

Optimal Control of Nonconvex Differential Inclusions

Author

Listed:
  • B.S. Mordukhovich

Abstract

Optimization problems for discrete and differential inclusions have many important applications and generalize both standard and nonstandard models in optimal control for open-loop and closed-loop control systems. In this paper we consider optimal control problems for dynamic systems governed by such inclusions with general endpoint constraints. We provide a variational analysis of differential inclusions based on their finite difference approximations and recent results in nonsmooth analysis. Using these techniques, we obtain refined necessary optimality conditions for nonconvex-valued discrete and differential inclusions in a general setting. These conditions are expressed in terms of robust nonconvex generalized derivatives for nonsmooth mappings and multifunctions. We also provide a brief survey of recent results in this direction.

Suggested Citation

  • B.S. Mordukhovich, 1997. "Optimal Control of Nonconvex Differential Inclusions," Working Papers ir97030, International Institute for Applied Systems Analysis.
  • Handle: RePEc:wop:iasawp:ir97030
    as

    Download full text from publisher

    File URL: http://www.iiasa.ac.at/Publications/Documents/IR-97-030.pdf
    Download Restriction: no

    File URL: http://www.iiasa.ac.at/Publications/Documents/IR-97-030.ps
    Download Restriction: no

    References listed on IDEAS

    as
    1. S. Nilsson, 1997. "Dialogue on Sustainable Development of the Russian Forest Sector- Volume I," Working Papers ir97009, International Institute for Applied Systems Analysis.
    2. S. Nilsson, 1997. "Dialogue on Sustainable Development of the Russian Forest Sector- Volume II," Working Papers ir97010, International Institute for Applied Systems Analysis.
    3. J. Granasen & S. Nilsson & U. Zackrisson, 1997. "Russian Forest Sector - Human Resources," Working Papers ir97008, International Institute for Applied Systems Analysis.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Statistics

    Access and download statistics

    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:wop:iasawp:ir97030. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Thomas Krichel). General contact details of provider: http://edirc.repec.org/data/iiasaat.html .

    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.

    We have no references for this item. You can help adding them by using 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.