title: The hypodifferential descent method in the problem of constructing an optimal control
metadata.name: dc.contributor.author
metadata.value: Fominyh, Alexander V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-11-24T19:22:25Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-11-24T19:22:25Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Fominyh A. V. The hypodifferential descent method in the problem of constructing an optimal control. Vestnik of Saint Petersburg University. Series 10. Applied mathematics. Computer science. Control processes, 2016, issue 3, pp. 106–125.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu10.2016.310
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/5695
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: This paper considers the problem of optimal control of an object, whose motion is described
  by a system of ordinary differential equations. The original problem is reduced to the problem
  of unconstrained minimization of a nonsmooth functional. For this, the necessary minimum
  conditions in terms of subdifferential and hypodifferential are determined. A class of problems,
  for which these conditions are also sufficient, is distinguished. On the basis of these conditions,
  the subdifferential descent method and the hypodifferential descent method are applied to
  the considered problem. The application of the methods is illustrated by numerical examples.
  Refs 16. Tables 4.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке Российского фонда фундаментальных исследований (грант № 16-31-00056 мол-а) и Санкт-Петербургского государственного университета (НИР,
  проект № 9.38.205.2014).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of Saint Petersburg University. Series 10. Applied Mathematics. Computer Science. Control Processes;Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: nonsmooth functional
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: variational problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: program control
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: hypodifferential descent method
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: The hypodifferential descent method in the problem of constructing an optimal control
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 10-Fominykh.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/5695/1/10-Fominykh.pdf
resources.format: Adobe PDF
resources.size: 297,23 kB